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This mock test of Maxwell's Equation MCQ Level - 2 for Physics helps you for every Physics entrance exam.
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QUESTION: 1

A parallel plate capacitor is being discharged. What is the direction of the energy flow in terms of the Poynting vector in the space between the plates?

Solution:

As the capacitor is being discharged, field is decreasing

Using expression for curl in cylindrical coordinates, we get

Since there is φ symmetry

Thus, magnetic field in direction will be induced, since,

∴ Direction of poynting vector

radially outward

The correct answer is: Radially outward

QUESTION: 2

Magnetic field in a region is the induced electric field due to this time varying magnetic field is

Solution:

The induced electric field lines are concentric circles with clockwise direction.

Physical argument for the direction is that if we put a conducting loop in the magnetic field current will flow in clockwise direction.

∴ Along a circle of radius *r*, we get

Here means is in each a direction to oppose change in flux.

The correct answer is:

QUESTION: 3

Consider a capacitor placed in free space, consisting of two concentric circular parallel plate of radii * r*. The separation

Solution:

Let us take a loop of radius* x* with centre on the axis

Current enclosed

Applying Maxwell’s equation

The correct answer is:

QUESTION: 4

Consider the following

where * E* = electric field and

Solution:

Electric flux is zero. It may happen for E ⊥ ds.

Potential difference is zero.

*E* is not necessarily zero.

⇒ E is produced, if magnetic flux changes with time. Thus, no equation gives *E* as zero.

The correct answer is: None of these

QUESTION: 5

The magnetic field associated with the electric field vector is given by

Solution:

Let us use the equation

(After integration)

The correct answer is:

QUESTION: 6

A long straight solenoid has ** n** turns per unit length. An alternating current

Solution:

Magnetic field

To find electric field inside the solenoid, consider a closed loop *C*, of radius *r*.

Flux of magnetic field

From Faraday Law,

is negative, so, lies opposite to the orientation.

Displacement current density,

Displacement current through a circle of radius *r*.

The correct answer is:

QUESTION: 7

Which of the following four equations show that (i) the magnetic field lines cannot start from a point nor end at a point and (ii) the electrostatic field lines cannot form closed loops?

Select the correct answer using the codes given below :

Solution:

The magnetic field lines cannot start from a point nor end at a point, i,e., there are no magnetic mono poles. Magnetic filed lines have no source or sink to start or stop.

Thus, If electric field lines cannot form

The correct answer is: 2 and 3, respectively

QUESTION: 8

An electromagnetic wave travels along *z*-axis. Which of the following pair of space and time varying fields would generate such a wave?

Solution:

As direction of propagation is along *z*-axis.

*E* must be in -direction, so that

The correct answer is: *E _{y}*,

QUESTION: 9

*LASER* are light source which give almost perfectly parallel beam of high intensity. If a 2*kW* laser beam is concentrated by a lens into cross-sectional area about 10^{–6} *cm ^{2}*, then the value of Poynting vector

Solution:

Power = 2 *kW* = 2 × 10^{3} *W*

Cross-sectional area = 10^{6} cm^{2}

Poynting vector S = P/A

The correct answer is: 2 × 10^{13} W/m^{2}

QUESTION: 10

A plane electromagnetic wave in free space is specified by the electric field.

The associated magnetic field is

Solution:

Electric field is given by

The correct answer is:

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