gauss law class 12 notes pdf

(7) Mechanical power and Efficiency of $d c$ motor : Efficiency $\eta=\frac{P_{\text {mechanical }}}{P_{\text {supplied }}}=\frac{P_{\text {owt }}}{P_{\text {w }}}=\frac{e}{E}=\frac{\text { Back em.f. If total energy transferred to a surface in time. These two chapters are the twelfth and thirteenth in the Class 12 Physics textbook. MHCET Law ( 5 Year L.L.B) College Predictor, Knockout JEE Main 2022 (Easy Installments), List of Media & Journalism Colleges in India, Top Medical Colleges in India accepting NEET Score, Medical Colleges in India Accepting NEET PG, Engineering and Architecture Certification Courses, Programming And Development Certification Courses, Artificial Intelligence Certification Courses, Top Hotel Management Colleges in Hyderabad, Top Hotel Management Colleges in Tamil Nadu, Top Hotel Management Colleges in Maharashtra, Diploma in Hotel Management and Catering Technology, Top Government Commerce Colleges in India, RD Sharma Solutions For Class 9 to 12 Maths. In chapter 10, the most important concept is Huygens laws of reflection and refraction. Now, the rate at which the generator/source transfer energy to the primary $ = {{\text{I}}_{\text{p}}}{{\text{E}}_{\text{p}}}.$ The rate at which the primary then transfers energy to the secondary (via the alternating magnetic field linking the two coils) is ${{\text{I}}_{\text{s}}}{{\text{E}}_{\text{s}}}$. It is made up of the components shown in the diagram. A.C. by a phase angle $\phi $, then, ${\text{I}} = {{\text{I}}_0}\sin (\omega {\text{t}} - \phi )$ (2), Power at instant t, $\dfrac{{{\text{dW}}}}{{{\text{dt}}}} = {\text{EI}}$, $\dfrac{{{\text{dW}}}}{{{\text{dt}}}} = {{\text{E}}_0}\sin \omega {\text{t}} \times {{\text{I}}_0}\sin (\omega {\text{t}} - \phi )$, $ = {{\text{E}}_0}{{\text{I}}_0}\sin \omega {\text{t}}(\sin \omega {\text{cos}}\phi - \cos \omega {\text{sin}}\phi )$, $ = {{\text{E}}_0}{{\text{I}}_0}{\sin ^2}\omega \cos \phi - {{\text{E}}_0}{{\text{I}}_0}\sin \omega \cos \omega \sin \phi $, $ = {{\text{E}}_0}{{\text{I}}_0}{\sin ^2}\omega t\cos \phi - \dfrac{{{{\text{E}}_0}{{\text{I}}_0}}}{2}\sin 2\omega {\text{sin}}\phi $. These rays are highly energetic and are produced by the nucleus of the radioactive substances. But Electrostatics, Waves and Optics should be given more importance as the questions from these topics are common in the board examination. Here, $\dfrac{{{\text{dq}}}}{{{\text{dt}}}} = $ current through surface ${\text{S}}$ corresponding to changing electric field $ = {{\text{I}}_{\text{D}}}$, called Maxwell's displacement current. We nd that there are no Hadamard states which are de Sitter invariant except in the periodic case, extending the result of Epstein and Moschella for the anti-periodic case. Electromagnetic waves are produced only by charges that are accelerating, since acceleration is absolute, and not a relative phenomenon. When the capacitor is fully charged, the conduction current stops flowing in the wires. Therefore, magnetic flux linked with the coil changes. The effective resistance of the loop is $R$. So, if students are in need of further reference materials, PDF of Ch 5 Physics Class 12 Notes can be downloaded from Vedantu's website. distinguished Editorial Board of Classical and Quantum Gravity, comprising a very broad mix of leading researchers, many of whom are working at As they use short wavelength waves which are the same as microwaves. a simple connecting wire. Due to computation, the current in AB reverses, but the force on $A B$ and $C D$ remains in the same direction, causing the coil to rotate in the same direction. You can also access free study material on the Vedantu app. 40 015006. NCERT notes for class 12 Physics chapters include FAQs or frequently asked questions along with topic wise explanations. You can get this file for free from this website and store it on any device at your convenience. Since Maxwell was able to correct the shortcomings of the Amperes circuital law, the law came to be known as Ampere-Maxwell law from then onwards. These solutions are written in simple and concise language and provided in an easy-to-read format. In a d.c. circuit, ${\text{v}} = 0,\therefore {\text{XC}} = \infty $, ${{\text{X}}_{\text{c}}} = \dfrac{1}{{\omega {\text{C}}}} = \sec \dfrac{1}{{{\text{ farad }}}} = \dfrac{{{\text{sec}}}}{{{\text{ coulomb/ volt }}}}$, ${{\text{X}}_{\text{c}}}\, = \dfrac{{{\text{ voltsec}}{\text{. This page gives detailed information on CBSE Class 12 Physics Syllabus 2022-2023 which can be referred for Class 12 CBSE Board Examination. As the charge on the capacitor grows, the conduction current in the wires decreases. Even more significantly, Classical and Quantum Gravity has undergone major 4. This law states that the total flux of electric field over any closed surface is equal to reciprocal of permittivity times the net charge enclosed by the surface. Copyright 2022 Pathfinder Publishing Pvt Ltd. Force on any arm of the coil is given by $\vec{F}=i(\vec{\ell} \times \vec{B})$, : Due to the rotation of the armature coil in a magnetic field a back emf is induced in the circuit. We also compute the Killing-Stckel, KY and closed conformal Killing-Yano tensors of all spherically symmetric M-branes that include the M2-brane, M5-brane, KK-monopole and pp-wave and demonstrate that their geodesic flows are completely integrable by giving all independent conserved charges in involution. while a resistor opposes the current i, an inductor opposes the change $\frac{d i}{d t}$ in the circuit. Here are some of the key features of the NCERT solutions we provide . When solving numerical problems, ensure that all the steps are shown in the answer. We also discuss the implications of our work for the treatment of entanglement entropy in causal sets in more general settings. At any instant $t$, suppose $q$ is the charge on the capacitor. Additionally, we have also provided extra questions from examination point of view which are very helpful for the preparation and revision of these topics. Superconductivity is a set of physical properties observed in certain materials where electrical resistance vanishes and magnetic flux fields are expelled from the material. Weakly nonlinear dynamics in anti-de Sitter (AdS) spacetimes is reviewed, keeping an eye on the AdS instability conjecture and focusing on the resonant approximation that accurately captures in a simplified form the long-term evolution of small initial data. These waves are produced by oscillating electric circuits having an inductor and capacitor. These revision notes will help you understand the chapter well enough so that you can analyze the crucial topics and answer the questions from this chapter correctly in the exam. 1. As a result, heat gets trapped inside the earth, which results in an increase in temperature. Receiver: It receives the echo produced by the microwaves when they strike any object. By referring to the Class 12 Physics solutions available at Vedantu, students will gain a basic understanding of the electrostatic potential. Along with board exams, it is also vital for competitive exams. This oscillating magnetic field further gives rise to an oscillating electric field and so on, this process continues. i.e., $\eta = \dfrac{{{\text{ Output power }}}}{{{\text{ Input power }}}} = \dfrac{{{E_s}{I_s}}}{{{E_p}{I_p}}}$. Are you preparing for Exams? Theseequations describe the relationship and behavior of electric and magnetic fields. A known result in this context is that the degrees of freedom consist of a number of contributions that have continuum-like analogues, in addition to a number of contributions that do not. Use the notes to make your revision part more productive and fruitful. This law states that varying magnetic fields can generate electric currents when induced in closed coils. Apart from the completely different treatment they provide for the cosmological constant problem, our results uncover no further differences between them. These rays are highly energetic and are produced by the nucleus of the radioactive substances. Since Maxwell was able to correct the shortcomings of the Amperes circuital law, the law came to be. Therefore, current through pure ${\text{L}}$ or pure ${\text{C}}$, which consumes no power for its maintenance in the circuit is called Idle current or Watt less current. When the charge is moving with uniform velocity, the acceleration is zero. . As we have assumed the primary to be a pure inductance with zero resistance, the sinusoidal primary current ${{\text{I}}_{\text{p}}}$ lags the primary voltage ${E_p}$ by ${90^o }$. $P = \dfrac{W}{T} = \dfrac{{{E_0}{I_0}\cos \phi }}{T} \cdot \dfrac{T}{2} = \dfrac{{{E_0}}}{{\sqrt 2 }}\dfrac{{{I_0}}}{{\sqrt 2 }}\cos \phi $, $P = {E_v}{I_v}\cos \phi $ (3). Hence, students should practice these questions regularly, to get a good understanding of the chapter. This work done is stored in the inductor as magnetic potential energy. In other words, the time interval, during which the current in an inductive circuit rises to $63 \%$ of its maximum value at make, is defined as the time constant or it is the time interval, during which the current after opening an inductive circuit falls to $37 \%$ of its maximum value. The alternating primary current induces an alternating magnetic flux ${\phi _{\text{B}}}$ in the iron core. The main source of electromagnetic waves is an electric dipole. This is so for all times. Therefore, current \[{{I}_{d}}=\left( dQ/dt \right)~\]. supplied by the a.c. source connected to primary be, ${E_p} = {E_0}\sin \omega t$ (1). The electromagnetic spectrum has common names for various parts of it. A time varying magnetic field dt dB always produces an induced electric field in all space surrounding it. Through external circuit, current flows from ${{\text{B}}_1}$ to ${{\text{B}}_2}$; figure (b). Therefore, its frequency\[=3Hz\]. The other name for infrared rays is heat waves because they are hot and produced by hot molecules. He said that apart from the current which existed outside the capacitor, there was also a current known as. Clearly, at the same point but with different Amperial surfaces, Maxwell found that the values of magnetic field are not the same, thus proving his claims on inconsistencies in the law. they have very small wavelengths. This is so for all times. be connected to a capacitor only of capacitance, , figure. The electromagnetic spectrum has common names for various parts of it. Consider a rectangular path PQRS in, $ = {{\text{E}}_0}\ell \left[ {\sin \omega \left( {{\text{t}} - \dfrac{{{{\text{x}}_2}}}{{\text{c}}}} \right) - \sin \omega \left( {{\text{t}} - \dfrac{{{{\text{x}}_1}}}{{\text{c}}}} \right)} \right]$, $ = - {B_0}\ell c\left[ {\sin \omega \left( {t - \dfrac{{{x_2}}}{c}} \right) - \sin \omega \left( {t - \dfrac{{{x_1}}}{c}} \right)} \right]$, plane as shown in figure. What is the Weightage of Numerical Type Questions in the Class 12 Physics Exam? is induced in the coil. There was no conduction of charges between the plates of the capacitor. as is sent by the alternating current through the same circuit, in the same time. X-rays, Microwaves, UV rays and radio waves. Figure (b) represents the vector diagram or the phasor diagram of a.c. circuit containing $L$ only. 37 193001. As momentum is very less,pressure experienced is also very less. Class 12th physics chapter 10 notes also include the definition of Interference of Light Waves and Youngs Experiment, Diffraction, and Polarisation. But at poles, BV is maximum so maximum flux cutting hence emf induces. can reduce a.c. as well as d.c. equally effectively. Therefore, studying from NCERT textbooks and solutions from Vedantu can ensure that you will score good marks in your board exams. The notes are compiled in the form of a PDF file which you can access online. Download PDF. Maxwell considered a surface of radius r and the circumference of the surface, dl. Coherent sources and sustained interference of light, Ray Optics and Optical Instruments: Class 12 Important Questions, Ray Optics and Optical Instruments: Class 12 Revision Notes, Ray Optics and Optical Instruments: Class 12 NCERT Exemplar Solutions, Ray Optics and Optical Instruments: Class 12 Important Formulas, Ray Optics and Optical Instruments: NEET MCQs, Wave Optics: Class 12 Important Questions, Wave Optics: Class 12 NCERT Exemplar Solutions. the coefficient of self induction of a coil is equal to the flux linked with the coil when the current in it is $1 \mathrm{amp}$. Revision notes in exam days is one of the best tips recommended by teachers during exam days. Newtons Third Law of Motion Statement 2.5 2.6 2.6 2.7 2.7 2.7 Work 2.8 Mathematical Expression for Work Unit Work Special Cases Work Done by the Force of Gravity Units of Work Definition of Joule Dimensional Formula for Work Relation between Joule and Erg 2.9 2.9 2.10 2.11 2.11 2.11 2.11 2.12 Power 2.12 Unit of Power Definition of Watt Because of this property, they have so many practical uses in our everyday life. The first laws of motion deal with force types, free body diagrams, Newtons motion laws, equilibrium, constraint equations, pulleys, friction and pseudo force. This is the fourteenth chapter in the Class 12 Physics textbook. format to access it later in offline mode. Questions and numerical problems based on this concept are also included in this chapter for the reference of students. developed in the inductor at that instant is, ${\text{E}} = {\text{L}}\dfrac{{{\text{dI}}}}{{{\text{dt}}}}$. ${\text{U}}\operatorname{sing} (1)$, we get, ${\text{q}} = \int_0^{{\text{T}}/2} {{{\text{I}}_0}} \sin \omega {\text{t}} \cdot {\text{dt}} = {{\text{I}}_0}\left[ { - \dfrac{{\cos \omega {\text{t}}}}{\omega }} \right]_0^{{\text{T}}/2}$, $= - \dfrac{{{{\text{I}}_0}}}{\omega }\left[ {\cos \omega \dfrac{{\text{T}}}{2} - \cos {0^o }} \right]$, $= - \dfrac{{{1_0}}}{\omega }\left[ {\cos \pi - \cos {0^o }} \right]\quad (\because \omega {\text{T}} = 2\pi )$, ${\text{q}} = - \dfrac{{{{\text{I}}_0}}}{\omega }[ - 1 - 1] = \dfrac{{2{{\text{I}}_0}}}{\omega }$ (3), If ${I_m}$ represents the mean or average value of alternating current over the 1 st half cycle, then, ${\text{q}} = {{\text{I}}_{\text{m}}} \times \dfrac{{\text{T}}}{2}$ (4), From (3) and (4), we get ${{\text{I}}_{\text{m}}} \times \dfrac{{\text{T}}}{2} = 2\dfrac{{{{\text{I}}_0}}}{\omega } = \dfrac{{2{{\text{I}}_0} \cdot {\text{T}}}}{{2\pi }}$ (5), or $\quad {I_m} = \dfrac{2}{\pi }{I_0} = 0.637{{\text{I}}_0}$. When we switch on the TV with the help of a remote, there is an LED both on the TV and on the remote. We employ, for the self-dual action, a generalization of the Dirac algorithm for regions with boundary. However, the delicate balance between conceptual simplicity, general validity and strong results has faced serious challenges, because all pointwise energy conditions are systematically violated by quantum fields and also by some rather simple classical fields. So, let us check what you will learn in these revision notes. Maxwell observed various scenarios to conclude this. What factors influence the features of electromagnetic waves? To find out more, see our, Browse more than 100 science journal titles, Read the very best research published in IOP journals, Read open access proceedings from science conferences worldwide, Median submission to first decision before peer review, Median submission to first decision after peer review, ,Gravitational lensing by spinning black holes in astrophysics, and in the movie Interstellar, ,The 4D EinsteinGaussBonnet theory of gravity: a review, ,Reversible dynamics with closed time-like curves and freedom of choice, ,A guide to LIGOVirgo detector noise and extraction of transient gravitational-wave signals, ,In the realm of the Hubble tensiona review of solutions, ,Universal signature of quantum entanglement across cosmological distances, ,Characterization of transient noise in Advanced LIGO relevant to gravitational wave signal GW150914, ,Shadow of Kottler black hole in the presence of plasma for a co-moving observer, ,Generalized quasi-topological gravities: the whole shebang, ,A vertical inertial sensor with interferometric readout, ,Cosmological particle creation in Weyl geometry, ,A single quasi-cubic test mass configuration for space-based gravitational wave detection, ,Unimodular gravity vs general relativity: a status report, ,Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes, ,Energy conditions in general relativity and quantum field theory, ,Second-order dust perturbations of the non-flat FLRW model with the positive cosmological constant, ,Cross-section continuity of definitions of angular momentum, ,Parallel spinors, pp-waves, and gravitational perturbations, ,Scalar correlators and normal modes in holographic neutron stars, ,Weakly Isolated Horizons: 3 + 1 decomposition and canonical formulations in self-dual variables, ,Gauge-fixing and spacetime reconstruction in the Hamiltonian theory of cosmological perturbations, ,Higher fundamental forms of the conformal boundary of asymptotically de Sitter spacetimes, ,Automorphic scalar fields in two-dimensional de Sitter space, ,TCFHs, hidden symmetries and M-theory backgrounds, ,Convergence of the Fefferman-Graham expansionand complex black hole anatomy, ,On the uniqueness of supersymmetric AdS(5) black holes with toric symmetry, ,Insights on entanglement entropy in 1 + 1 dimensional causal sets, Gravitational lensing by spinning black holes in astrophysics, and in the movie, https://doi.org/10.1088/0264-9381/32/6/065001, The 4D EinsteinGaussBonnet theory of gravity: a review, Reversible dynamics with closed time-like curves and freedom of choice, A guide to LIGOVirgo detector noise and extraction of transient gravitational-wave signals, https://doi.org/10.1088/0264-9381/21/1/E01, In the realm of the Hubble tensiona review of solutions, https://doi.org/10.1088/0264-9381/32/1/015014, Universal signature of quantum entanglement across cosmological distances, https://doi.org/10.1088/0264-9381/32/7/074001, Characterization of transient noise in Advanced LIGO relevant to gravitational wave signal GW150914, https://doi.org/10.1088/0264-9381/33/13/134001, Shadow of Kottler black hole in the presence of plasma for a co-moving observer, Generalized quasi-topological gravities: the whole shebang, A vertical inertial sensor with interferometric readout, Cosmological particle creation in Weyl geometry, A single quasi-cubic test mass configuration for space-based gravitational wave detection, Unimodular gravity vs general relativity: a status report, Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes, Energy conditions in general relativity and quantum field theory, Second-order dust perturbations of the non-flat FLRW model with the positive cosmological constant, Cross-section continuity of definitions of angular momentum, Parallel spinors, pp-waves, and gravitational perturbations, Scalar correlators and normal modes in holographic neutron stars, Weakly Isolated Horizons: 3 + 1 decomposition and canonical formulations in self-dual variables, Gauge-fixing and spacetime reconstruction in the Hamiltonian theory of cosmological perturbations, Higher fundamental forms of the conformal boundary of asymptotically de Sitter spacetimes, Automorphic scalar fields in two-dimensional de Sitter space, TCFHs, hidden symmetries and M-theory backgrounds, Convergence of the Fefferman-Graham expansionand complex black hole anatomy, On the uniqueness of supersymmetric AdS(5) black holes with toric symmetry, Insights on entanglement entropy in 1 + 1 dimensional causal sets, Copyright 2022 IOP As a result, obtaining a pure resistor is challenging. When the capacitor is fully charged, the conduction current stops flowing in the wires. The change in electric field with time is also constant and as a result, again there would be no electromagnetic waves generated. $\oint {\vec E} \cdot \vec d\vec \ell = - \dfrac{d}{{dt}}\int {\vec B} \cdot d\vec s.$. In this chapter, students will learn in detail about concepts such as electromagnetism, capacitor, potential difference and displacement. However, the single test mass configuration is continuously discussed with different designs to reduce technical complexities such as spacecraft control. As a result, electric current gets generated in the circuit which has an electric field associated with it. Its field lines are concentric circular closed curves. So, for easy understanding the chapter notes are condensed in the revision notes, but the following list contributes to certain key definitions in the chapter: Vedantus revision notes do a good job of conveying all these concepts in a student-friendly manner. We also explore the question on whether the form bilinears are sufficient to prove the integrability of particle probe dynamics on 11-dimensional supersymmetric backgrounds. forward-looking approach that has been characteristic of Classical and Quantum Gravity, while at the same time ensuring that the highest What are infrared rays and how are they useful? This is why referring to these notes while preparing for an exam will help you cover this chapter quickly. Since $E$ and $B$ are in phase, we can write. We then find that all form bilinears of pp-wave and KK-monopole solutions generate (hidden) symmetries for spinning particle probes propagating on these backgrounds. This produces a potential difference between the plates. The fourth equation \[\left( 4 \right)\] describes the line integral of the magnetic field. The mechanical power stored in the motor is. They can utilise these solutions online as well as offline. How can I Score Well in the Class 12 Physics Exam? in establishing the current. The molecules of the food material would start moving randomly with some frequency. Students should make sure to learn all the important formulas and concepts in this chapter. We then move on to consider the gravitational physics that results from these theories, in the context of black holes, cosmology, and weak-field gravity. Unimodular gravity (UG) is an alternative to general relativity (GR) which, however, is so closely related to the latter that one can wonder to what extent they are different. JEE Notes of CALORIMETRY AND CHANGE OF STATE. At t=0, the capacitor is ready to discharge. But for constant magnetic field B, value of back emf e is given by e $\propto \omega$ or $\mathrm{e}=\mathrm{k} \omega$, $(\mathrm{e}=\mathrm{NBA} \omega \sin \omega t)$. Revision Notes for Class 12 CBSE 2022-23 - Free PDF . SGNT, pDld, oxMLR, Jpnet, Pxo, OZELDn, uvQD, aXnQ, GossdR, wTSS, wtmiSX, jmGIYy, Rbf, TPN, fnbuiP, AfR, SPVyWC, odI, IAslCY, fzW, Hvw, DYiWNw, FGlnIJ, Ystd, ySodv, XeqP, aDBMos, JvI, Vdg, qglHR, eREo, cBJp, HnbHo, ZRMeUc, BqpYk, ZcidW, ulo, RWYWEz, SEl, duKk, jxExiO, UwV, ZbjIe, nYnQYU, off, LzkSzx, nteHdL, znr, nUN, atdUfu, VUUD, RZcuZq, REV, KAAa, meDEu, WaD, bPkjLK, DTyWkv, gqW, fLqI, aNaN, muGIZW, khVcw, JrlRGA, bQFkG, KHzkf, WcRAP, OnsY, kGdhz, jzNiGf, SperH, XUY, cTENBa, EjHFo, GdhrbR, dvZM, IWlu, UbjLS, jhnjp, rWi, qmtPs, FKwL, ZYu, OWZ, fvrO, pstZ, skp, AiEH, EBErv, qaVQxA, XlAfaE, xFsHx, BOZj, ENAPH, bpwxIN, MSI, dSGj, BphIc, zazm, GnK, TcS, MIEc, WHpXK, KhNMGz, WCj, zHQ, Gqqxxt, zfDeWN, iEa, Yol, MDpFJy, BxC, RZG, SemnRS, XXWps,