Test: Magnetostatics- 2

# Test: Magnetostatics- 2

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## 20 Questions MCQ Test Topicwise Question Bank for Electrical Engineering | Test: Magnetostatics- 2

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Test: Magnetostatics- 2 - Question 1

### A circular conductor of 1 cm radius has an internal magnetic field where , r0 is the radius of the conductor and is the unit vector. The total current in the conductor is given by

Detailed Solution for Test: Magnetostatics- 2 - Question 1

By Ampere's law,

Hence, current enclosed

Given, r0 = 1 cm = 0.01 m

Test: Magnetostatics- 2 - Question 2

### What is the value of mutual inductance between an infinitely long straight conductor along the y-axis and a rectangular single turn coil situated in x-y plane with its corners located at point (a, 0), (a + d, 0), (a, h) and (a + d, h) as shown in figure below?

Detailed Solution for Test: Magnetostatics- 2 - Question 2

The mutual inductance is given by

Flux density at any point P in the x-y plane is

and

Test: Magnetostatics- 2 - Question 3

### Assertion (A): The force acting between two parallel wires carrying currents is directly proportional to the individual currents and inversely proportional to the square of the distance between them, Reason (R): The force is repulsive if the two currents I1 and I2 are in the same directions and attractive if in opposite directions.

Detailed Solution for Test: Magnetostatics- 2 - Question 3

The force acting between the two parallel wires carrying currents I2 and I2 respectively is given by

Thus,

Hence, assertion is a correct statement.
Reason is a false statement because F will be attractive if the two currents I2 and I2 will be in the same directions and repulsive if in opposite directions.

Test: Magnetostatics- 2 - Question 4

The energy stored in a magnetic field is given by

Test: Magnetostatics- 2 - Question 5

Lorentz force law is

Test: Magnetostatics- 2 - Question 6

The equation  is the generalization of

Test: Magnetostatics- 2 - Question 7

The unit of relative permeability is

Detailed Solution for Test: Magnetostatics- 2 - Question 7

Relative permeability,

μr is a dimensionless quantity.

Test: Magnetostatics- 2 - Question 8

Consider the volume current density distribution in cylindrical co-ordinates as

Where a and b are inner and outer radii of the cylinder as shown in figure below

Now, consider the value of magnetic field intensity in various regions I, II and III respectively obtained as:

Which of the above found values of H are correct for the respective regions?

Detailed Solution for Test: Magnetostatics- 2 - Question 8
• For region-I (0 < r < a), J (r, ϕ, z) = 0
Using Ampere’s law, we have

or , H·2πr = 0 or H = 0
• For region - II

Again,

or,
• For region - III  (b < r < ∞), J = 0
Again,
Test: Magnetostatics- 2 - Question 9

Assertion (A): It is not possible to have isolated magnetic charges.
Reason (R): The magnetic flux lines always close upon themselves.

Detailed Solution for Test: Magnetostatics- 2 - Question 9

Since, magnetic flux lines always close upon themselves therefore it is not possible to have isolated magnetic charges (or poles).

Test: Magnetostatics- 2 - Question 10

Match List-l with List-lI and select the correct answer using the codes given below the fists:
List-l
A. Gauss’s law for magnetostatic fields
B. Gauss’s law for electrostatic fields
C. Conservativeness of electrostatic fields
D. Ampere's law
List-lI

Codes:
A B C D
(a) 5 4 1 2
(b) 3 1 4 5
(c) 3 4 1 5
(d) 5 1 4 2

Test: Magnetostatics- 2 - Question 11

The magnetic vector potential is given by

The total magnetic flux crossing the surface ϕ = π/2 , 1 ≤ ρ ≤ 2 m , 0 ≤ z ≤ 5 m is

Detailed Solution for Test: Magnetostatics- 2 - Question 11

The total magnetic flux crossing the surface
ϕ = π/2 , 1 ≤ ρ ≤ 2 m , 0 ≤ z ≤ 5 m is given as:

= 3.75 Wb

Test: Magnetostatics- 2 - Question 12

Which of the following is not a source of magnetostatic fields?

Detailed Solution for Test: Magnetostatics- 2 - Question 12

An accelerated charge will produce both time varying electric and magnetic field called electromagnetic field.

Test: Magnetostatics- 2 - Question 13

Consider the following statements associated with the characteristics of static magnetic field:
1. It is solenoidal.
2. Magnetic flux lines are not closed in certain cases.
3. The total number of flux lines entering a given region is equal to the total number of flux lines leaving the region.
4. It is conservative.
Which of the above statements is/are not correct?

Detailed Solution for Test: Magnetostatics- 2 - Question 13
• Static magnetic field is non-conservative unlike static electric field. Hence, statement-4 is not correct.
• Magnetic flux lines are always closed. Hence, statement-2 is not correct.
• Statement 1 and 3 are correct.
Test: Magnetostatics- 2 - Question 14

What are the units for the product of two values whose respective units are Henrys and Amperes?

Detailed Solution for Test: Magnetostatics- 2 - Question 14

The Henry, the unit for mutual inductance is equivalent to V-sec/Ampere.
So, H x Ampere = Volt-sec = V-s

Test: Magnetostatics- 2 - Question 15

What are the possible dimensions for a rectangular coil that has a magnetic flux of 9.5 webers when in a magnetic field of strength 19 Tesla at an angle of 60° from the perpendicular to the plane of the coil?

Detailed Solution for Test: Magnetostatics- 2 - Question 15

Magnetic flux φB = BA cosθ
or,
Hence, the area of the rectangular coil should be 1 m2. Only option (d) is matching the answer i.e. 250 cm x 40 cm
= 10000 cm2 = 1 m2.

Test: Magnetostatics- 2 - Question 16

What is the change in magnetic fiux in a coil of area 5 m2 as its orientation relative to the perpendicular of a uniform 3.0 T magnetic field changes from 45° to 90°?

Detailed Solution for Test: Magnetostatics- 2 - Question 16

Flux ϕ = B A cosθ
At θ = 45°,   ϕ1= 3 x 5 x cos 45° = 11 Wb
At θ = 90°,    ϕ2 = 3 x 5 x cos 90° = 0 Wb
∴ Change in flux = ϕ2 - ϕ1 = -11 Wb

Test: Magnetostatics- 2 - Question 17

If a vector field  is solenoidal, which of these is true?

Detailed Solution for Test: Magnetostatics- 2 - Question 17

(Non-existence of monopole)

Test: Magnetostatics- 2 - Question 18

If , the value of around the closed circular quadrant shown in the given figure is

Detailed Solution for Test: Magnetostatics- 2 - Question 18

Test: Magnetostatics- 2 - Question 19

The Maxwell’s equation,  is based on

Test: Magnetostatics- 2 - Question 20

Given a vector field in cylindrical coordinates. For the contour as shown below, is

Detailed Solution for Test: Magnetostatics- 2 - Question 20

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