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Test: Time Varying EMT Fields - 1 - Question 1

If the magnetic field vector has only component given by H_{z} = 3x cosβ+ 6y sinγ and if the field is invariant with time, what is the expression for current density

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Test: Time Varying EMT Fields - 1 - Question 2

The conduction current in a straight copper wire of cross-sectional area A = 1.5 x 10^{-5} m^{2} is I = 2 A. If the constitutive parameters of copper are μ = μ_{0} = 4π x 10^{-7} H/m, F/m and σ = 5.8 x 10^{7} mho/m, then the displacement current I_{d} in the wire at a frequency of f = 1 GHz would be

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Test: Time Varying EMT Fields - 1 - Question 3

A rectangular loop of length a = 1 meter and width b = 80 cm is placed in a uniform magnetic field. What is the maximum value of induced emf if the magnetic flux density B = 0.1 Wb/m^{2} is constant and the loop rotates about the x-axis with a frequency of 50 Hz?

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Test: Time Varying EMT Fields - 1 - Question 4

A straight conducting wire of length 50 cm is moved in a direction at right angles to its length in a region in air permitted by a uniform flux density B of magnitude B = 1 Wb/m^{2}. If the magnetic flux density is perpendicular to both the direction of the motion and the length of the wire and the magnitude of the velocity of motion \/ = 10 m/s, the induced voltage in the conductor would be

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Test: Time Varying EMT Fields - 1 - Question 5

A Faraday disc of 10 cm radius rotates at 5000 rpm in a uniform magnetic field of 250 mWb/m^{2}, the field being normal to the plane of the disc. What is the emf between rpm and axis assuming the diameter of the axis very small?

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Test: Time Varying EMT Fields - 1 - Question 6

What is the emf developed about the path r = 0.5, z = 0 and at t = 0, if

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Test: Time Varying EMT Fields - 1 - Question 7

A square loop of wire 25 cm has a voltmeter (of infinite impedance) connected in series with one side. The plane of the loop is perpendicular to the magnetic field and the frequency is 10 MHz. If the maximum intensity is 1 Amp/m, then the voltage indicated by the meter when the loop is placed in the alternating field would be

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Test: Time Varying EMT Fields - 1 - Question 8

Assertion (A): The total e.m.f. induced in a circuit is equal to the time rate of decrease of the total magnetic flux linking the circuit.

Reason (R): Changing magnetic field will induce on electric field.

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Test: Time Varying EMT Fields - 1 - Question 9

Assertion (A): Motional induction or flux cutting law gives the e.m.f. induced in a moving conductor w.r.t observer in a magnetic field.

Reason (R): The motional emf equation depends on the velocity of the conductor and its position.

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Test: Time Varying EMT Fields - 1 - Question 10

In a material for which conductivity σ = 5 Siemen/m and ∈_{r} = 1, the electric field intensity is E = 250 sin 10^{10} t V/m. What is the frequency at which the displacement and conduction current densities will be equal?

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