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Consider the following equations with time factor ejωt

1. 

2. 

3. 

4. 

Which of the above Time-Harmonic Maxwell's equations are correct ?

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  1. 1 and 2 only
  2. 1 and 3 only
  3. 1, 2 and 3 only
  4. 3 and 4 only

Answer (Detailed Solution Below)

Option 2 : 1 and 3 only
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Detailed Solution

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General Forms of Maxwell's Equation

Differential

Integral

Remarks

∇.D̅ = ρv

Gauss’ Law

∇.B̅ = 0

Nonexistence of isolated magnetic charge

Faraday’s Law

Ampere’s circuital law

 

From the above chart, only 1 and 3 are correct.

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More Time Harmonic Maxwell's Equations Questions

Q1.Following equations are given for retarded time-varying fields A. ∇2V = -ρ/ε + ω2μεV B. ∇2V = p/ε + ω2μεV C. ∇2A = μJ̅ + ω2μεJ̅  D. ∇2A =-μJ̅  + ω2μεA Choose the correct answer from the options given below:
Q2.For static electric and magnetic fields in an inhomogeneous source-free medium, which of the following represents the correct form of two of Maxwell’s equations?
Q3.Consider the following equations with time factor ejωt 1. \(\displaystyle\oint D_S.dS = \displaystyle\int \rho_{VS} dV\) 2. \(\displaystyle\oint E_S. dl = - j\omega B_S\) 3. \(\displaystyle\oint B_S.dS = 0\) 4. \(\displaystyle\oint H_S .dS = \displaystyle\int (J_S + j\omega D_S). dl\) Which of the above Time-Harmonic Maxwell's equations are correct ?
Q4.Maxwell's equations are obeyed by the E.M. waves when these waves are travelling:
Q5.The current flowing through a capacitor in an AC circuit is

More Maxwell's Equations Questions

Q1.According to Lenz’s law, what does the secondary current in a transformer produce?
Q2.A coil of 100 turns is wound on a magnetic circuit of reluctance 1000 AT/mWb. The current of 1A flowing in the coil is reversed in 10 ms. The average EMF induced in the coil is ________ V.
Q3.A 0.62m - long wire carrying 1.20 A of current is positioned in a 0.47 T uniform magnetic field that is directed perpendicularly to the wire. Find out how much magnetic force there is on the wire.
Q4.In 0.0200 seconds, the magnetic flux across an N - turn coil goes from 0.0160 Wb to 0.00800 Wb. Determine the number of turns if the coil's induced emf is 28 V
Q5.A coil having 100 turns is placed in the magnetic field of 1m wb. Find the average EMF induced if the coil is moved in 0.2 seconds from the given field to a field of 0.4m wb.
Q6.Which of the following statements are correct? (a) Lenz's law is based on the conservation of charge. (b) Lenz's law gives the direction of induced current. (c) Lenz's law is based on the conservation of energy.
Q7.In electromagnetism, the magnetic field set up by a steady current density is described by _______.
Q8.Choose the correct option: i) Changing magnetic flux give rise to an emf ii) Flux change may be due to change in area through which flux is changing iii) Flux change may be due to time dependent magnetic field iv) Lenz's law relates emf to rate of change of flux
Q9.'A time varying electric field produces a magnetic field.' This phenomenon is called:
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Q1.In a magnetic circuit, if the reluctance of a path increases, which of the following occurs?
Q2.Which of the following is true about microwaves in unguided media?
Q3.Why does magnetic fringing occur at the ends of a magnetic circuit?
Q4.According to Laplace's Law of Magnetic Circuits, the magnetic field strength H in a core is directly proportional to the magnetomotive force (MMF) and inversely proportional to the length of the magnetic path. If the MMF is increased by a factor of 2, and the length of the magnetic path is halved, what will be the change in the magnetic field strength H?
Q5.Which factor is primarily responsible for distortion in a transmitted signal?
Q6.In a series magnetic circuit, if the reluctance of one path increases, what will happen to the total magnetic flux in the circuit?
Q7.The magnetic field outside a toroidal coil:
Q8.The magnetic field inside a solenoid is:
Q9.Force on a current-carrying conductor will be _________ when it is placed at right angles to the direction of the magnetic field.
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