1. A coil of wire consisting of 20 turns, each of which having an arca of 15,0 c

Question

1. A coil of wire consisting of 20 turns, each of which having an arca of 15,0 cm', is placed in a magnetic field perpendicular to the coil surface. Initially the magnitude of the magnetic field is 0.05 T and 0.1 s later it increases to 0.06 T. Find the magnitude of the induced emf in the coil. [Ans: 3 mVI[Hint: AQ/At NA(ABA, a 15 crm-0.0015 m?] 2. In Fig. 1 t he magnetic field in the region between the poles of an electromagnet is uniform at an instant but is increasing at a rate 0.020 T/s. The area of the conducting loop in the field is 120 cm2 and the total circuit resistance including the meter, is 5.0 S2. Find the magnitude of induced emf and the induced current in the circuit. [ Ans : ? 0.24 mV, 0.048 mA). [Hint: ?-BA, ?-AAB/?»-....] 3. A circular coil with 500 turns and an average radius of 4.0 cm is placed at an angle 0-30° (Fig. 2) with the normal to a magnetic field. Calculate the induced emf if the field changes at a rate-0.2 T/s. [Ans:0.436 V AB/Ar 0.020 T/s resistance in circuit and meter 5.0 ? Fig. 2

Explanation / Answer

Given

Number of turns, N = 20

Area, A = 15 x 10^-4 m^2

Change in magnetic field, dB = 0.06 - 0.05 = 0.01 T

Time, dt = 0.1 sec

Magnitude of emf, E = NA(dB/dt) = (20 x 15 x 10^-4)(0.01/0.1)

E = 0.003 V = 3 mV (Ans)

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