Electromagnetic Theory (CSIR Physical Sciences): Questions 46 - 48 of 55

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Question number: 46

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2012

MCQ▾

Question

The vector potential A due to a magnetic moment m at a point r is given by A=m×rr3 . If m is directed along the positive z – axis, the x – component of the magnetic field, at the point r , is – (June)

Choices

Choice (4) Response

a.

3myzr5

b.

3mxzr5

c.

3mxyr5

d.

3m(z2xy)r5

Question number: 47

» Electromagnetic Theory » Electrostatics: Gauss's Law and Its Applications

Appeared in Year: 2012

MCQ▾

Question

Charges Q, Q and -2Q are placed on the vertices of an equilateral triangle ABC of sides of length a , as shown in the figure

Three charges at the vertices of triangle

Three Charges at the Vertices of Triangle

In figure charges Q, Q and – 2Q are placed on the vertices of an equilateral triangle ABC of sides of length a.

The dipole moment of this configuration of charges, irrespective of the choice of origin, is – (June)

Choices

Choice (4) Response

a.

+3aQj^

b.

0

c.

+2aQi^

d.

3aQj^

Question number: 48

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2012

MCQ▾

Question

Consider an infinite conducting sheet in the XY – plane with a time dependent current density Kti^ , where K is constant. The vector potential at (x,y,z) is given by A=μ0K4c(ctz)2i^ . The magnetic field B is –

(December)

Choices

Choice (4) Response

a.

μ0Kz2cj^

b.

μ0K2c(ctz)j^

c.

μ0K2c(ctz)i^

d.

μ0Kt2j^

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