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Physics Part-I
Physics Part-I

Class 12

NCERT

1

Chapter 1: Electric Charges and Fields

47 questions

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2

Chapter 2: Electrostatic Potential and Capacitance

46 questions

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3

Chapter 3: Current Electricity

33 questions

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4

Chapter 4: Moving Charges and Magnetism

41 questions

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5

Chapter 5: Magnetism and Matter

36 questions

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6

Chapter 6: Electromagnetic Induction

28 questions

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7

Chapter 7: Alternating Current

37 questions

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8

Chapter 8: Electromagnetic Waves

20 questions

Question
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In a plane electromagnetic wave, the electric field oscillates sinusoidally at a frequency of and amplitude .
(a) What is the wavelength of the wave?
(b) What is the amplitude of the oscillating magnetic field?
(c) Show that the average energy density of the E field equals the average energy density of the B field. [c = 3 ]

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Text SolutionText solutionverified iconVerified

The wavelength is given by


Energy density due to the electric field,

Energy density due to the magnetic field,

also,

on solving above equations,
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Can someone show integration between 2.95 and 2.96? Using the equation 2.95, I need to find the 2.96 equation or vice versa. GMAT Documentation 6/30/2014 GMAT Tra 6/30/2014 GMAT TraMy prezisPrezi SGeriSay ls of Aerodynamics 5th edition [John D. Anderson, Jr.] {Charm-Quark} .y1s esumrorcquauos.9yan. B=f+av+fvas+ (2.94) Repeating the physical principle stated at the beginning of this section, the rate of heat added to the fluid plus the rate of work done on the fluid is equal to the rate of change of total energy of the fluid as it flows through the control volume i.e., energy is conserved). In turn, these words can be directly translated into an equation by combining Equations (2.86), (2.88), (2.91), and (2.94): apdV+ico-pV-dS+fVV+Wiscom (2.95) sp(+ff+an+fff Equation (2.95) is the energy equation in integral form; it is essentially the first law of thermodynamics applied to a fluid flow. For the sake of completeness, note that if a shaft penetrates the control surface in Figure 2.19, driving some power machinery located inside the control volume say, a compressor of a jet engine, then the rate of work delivered by the shaft Wan must be added to the left side of Equation 2.95. Also note that the potential energy does not appear explicitly in Equation (2.95). Changes in potential energy are contained in the body force term when the force of gravity is included in f. For the aerodynamic problems considered in this book, shaft work is not treated, and changes in potential energy are always negligible. Following the approach established in Sections 2.4 and 2.5, we can obtain a partial differential equation for total energy from the integral form given in Equation (2.95). Applying the divergence theorem to the surface integrals in Equation (2.95), collecting all terms inside the same volume integral, and setting the integrand equal to zero, we obtain [c+]+v.[+=-vp+v +Ocm+W (2.96) where O and W represent the proper forms of the viscous terms, to be related to the flow-field variables at a given point in space, adiabatic no heat addition q=0 without body forces f=0, then Equations (2.95) and (2.96) reduce to
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Question Text
In a plane electromagnetic wave, the electric field oscillates sinusoidally at a frequency of and amplitude .
(a) What is the wavelength of the wave?
(b) What is the amplitude of the oscillating magnetic field?
(c) Show that the average energy density of the E field equals the average energy density of the B field. [c = 3 ]
Updated OnAug 1, 2022
TopicElectromagnetic Waves
SubjectPhysics
ClassClass 12
Answer TypeText solution:1 Video solution: 2
Upvotes208
Avg. Video Duration6 min