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Electromagnetic Theory
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Q81

Open question

In a two beam interference pattern, the maximum and minimum intensity values are found to be 25

I_{0}

and 9

I_{0}

respectively, where

I_{0}

is a constant. The intensities of the two interfering beams are

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Q82

Open question

Two charges q and 2q are placed along the X-axis in front of a grounded, infinite conducting plane, as shown in the figure. They are located respectively at a distance of 0.5 m and 1.5 m from the plane. The force acting on the charge q is
Electromagnetic Theory mcq question image

Electromagnetic Theory mcq question image

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Q83

Open question

At time t = 0, a charge distribution

ρ (r, 0)

exists within an ideal homogeneous conductor of permittivity

ε

and conductivity

σ

. At a later time

ρ (r, t)

is given by

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Q84

Open question

For a vector potential

A,

the divergence of

A

\nabla \cdot A = - \frac{μ _{0}}{4 π} \cdot \frac{Q}{r ^{2}},

where Q is a constant of appropriate dimension. The corresponding scalar potential

ϕ (r, t)

that makes

A

and

ϕ

Lorentz gauge invariant is

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Q85

Open question

A sphere of radius R has uniform volume charge density. The electric potential at a point r (r < R) is

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Q86

Open question

A solid sphere of radius R carries a uniform volume charge density

ρ

. The magnitude of electric field inside the sphere at a distance r from the centre is

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Q87

Open question

Which of the following expressions for a vector potential

A

does not represent a uniform magnetic field of magnitude B₀ along the Z-direction?

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Q88

Open question

The XOY - plane carries a uniform surface current of density

K = 50 e^_{z}

A/m. The magnetic fields at the point z = -0.5 m is

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Q89

Open question

The electric field E(r, t) at a point r at time t in a metal due to the passage of electrons can be described by the equation

\nabla^{2} E (r, t) = \frac{1}{c ^{2}} \frac{\partial ^{2} E ( r , t )}{\partial t ^{2}} + ω^{'2} E (r, t)

where,

ω^{'}

is a characteristic associated with the metal and c is the speed of light in vacuum. The dispersion relation corresponding to the plane wave solutions of the form exp

[i (i . r - ω t)]

is given by

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Electromagnetic Theorypractice.

Electromagnetic Theory
practice.