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Test: Maxwell Law in Time Static Fields - Electrical Engineering (EE) MCQ


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10 Questions MCQ Test Electromagnetic Fields Theory (EMFT) - Test: Maxwell Law in Time Static Fields

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Test: Maxwell Law in Time Static Fields - Question 1

Calculate the emf in a material with flux linkage of 3.5t2 at 2 seconds. 

Detailed Solution for Test: Maxwell Law in Time Static Fields - Question 1

Answer: c
Explanation: The emf induced in a material with flux linkage is given by Vemf = -dλ/dt. On substituting λ= 3.5t2, we get emf = -7t. At time t = 2sec, the emf will be -14 units.

Test: Maxwell Law in Time Static Fields - Question 2

Find the emf induced in a coil of 60 turns with a flux rate of 3 units.

Detailed Solution for Test: Maxwell Law in Time Static Fields - Question 2

Answer: b
Explanation: The emf induced is the product of the turns and the flux rate. Thus Vemf = -Ndφ/dt. On substituting N = 60 and dφ/dt = 3, we get emf as -60 x 3 = -180 units.

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Test: Maxwell Law in Time Static Fields - Question 3

Find the electric field intensity of a charge 2.5C with a force of 3N.

Detailed Solution for Test: Maxwell Law in Time Static Fields - Question 3

Answer: d
Explanation: The electric field intensity is the electric force per unit charge. It is given by E = F/q. On substituting F = 2.5 and q = 3, we get E = 3/2.5 units.

Test: Maxwell Law in Time Static Fields - Question 4

The electric field intensity of a field with velocity 10m/s and flux density of 2.8 units is

Detailed Solution for Test: Maxwell Law in Time Static Fields - Question 4

Answer: b
Explanation: The electric field is the product of the velocity and the magnetic flux density given by E = v x B. On substituting v = 10 and B = 2.8, we get E = 10 x 2.8 = 28 units.

Test: Maxwell Law in Time Static Fields - Question 5

The line integral of the electric field intensity is

Detailed Solution for Test: Maxwell Law in Time Static Fields - Question 5

Answer: b
Explanation: From the Maxwell first law, the transformer emf is given by the line integral of the electric field intensity. Thus the emf is given by ∫ E.dl.

Test: Maxwell Law in Time Static Fields - Question 6

Which of the following relations is correct?

Detailed Solution for Test: Maxwell Law in Time Static Fields - Question 6

Answer: c
Explanation: The emf induced in a material is given by the line integral of the electric field intensity. Thus EMF = ∫ E.dl is the correct relation.

Test: Maxwell Law in Time Static Fields - Question 7

For static fields, the curl of E will be

Detailed Solution for Test: Maxwell Law in Time Static Fields - Question 7

Answer: b
Explanation: For static fields, the charges will be constant and the field is constant. Thus curl of the electric field intensity will be zero. This implies the field is irrotational.

Test: Maxwell Law in Time Static Fields - Question 8

The line integral of which parameter is zero for static fields?

Detailed Solution for Test: Maxwell Law in Time Static Fields - Question 8

Answer: a
Explanation: The field is irrotational for static fields. Thus curl of E is zero. From Stokes theorem, the line integral of E is same as the surface integral of the curl of E. Since it is zero, the line integral of E will also be zero.

Test: Maxwell Law in Time Static Fields - Question 9

The magnitude of the conduction current density for a magnetic field intensity of a vector yi + zj + xk will be

Detailed Solution for Test: Maxwell Law in Time Static Fields - Question 9

Answer: b
Explanation: From the Ampere circuital law, the curl of H is the conduction current density. The curl of H = yi + zj + xk is –i – j – k. Thus conduction current density is –i – j – k. The magnitude will be √(1 + 1 + 1) = √3 = 1.732 units.

Test: Maxwell Law in Time Static Fields - Question 10

If the conductor is stationary and the field is changing (varying), then emf induced in it. Such an emf is known as:

Detailed Solution for Test: Maxwell Law in Time Static Fields - Question 10

Dynamically induced EMF: When the conductor is rotating and the field is stationary, then the emf induced in the conductor is called dynamically induced EMF.

Ex: DC Generator, AC generator

Static induced EMF: When the conductor is stationary and the field is changing (varying) then the emf induced in the conductor is called static induced EMF.

Ex: Transformer

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