A uniform magnetic field is applied perpendicular to the plane of a 60-tum circu

Question

A uniform magnetic field is applied perpendicular to the plane of a 60-tum circular coil with a radius of 6.0 cm and a resistance of 0.60 Ohm. If the magnetic field increases uniformly from 0.20 T to 1.80 T in 0.20 s, what is the magnitude of the emf induced in the coil? 5.4 V 12 V 7.2 V 16V 9.2V What is the self-inductance of a solenoid 30.0 cm long with 100 turns of wire and a cross-sectional area of 10^-4 m^2? 8.14 pH 6.30 pH 1.04 pH 3.66 pH 4.19 pH A 96-mH solenoid inductor is wound on a form 0.80 m in length and 0.10 m in diameter. A coil is tightly wound around the solenoid at its center. The coil's resistance is 9.9 ohms. The mutual inductance of the coil and solenoid is 31 mu H. At a given instant, the current in the solenoid is 540 mA, and is decreasing at the rate of 2.5 A/s. At the given instant, what is the magnitude of the induced current in the coil? 6.3 mu A 13 mu A 7.8 mu A 9.4 mu A 11 mu A A circular metal ring is situated above a long straight wire, as shown in Fig. 1 on the screen. The straight wire has a current flowing to the right, and the current is increasing in time at a constant rate. Which statement is true? There is no induced current in the metal ring because the current in the wire is changing at a constant rate. There is an induced current in the metal ring, flowing in a counter-clockwise direction. There is an induced current in the metal ring, flowing in a clockwise direction. Which of the following statements about inductors is correct? When it is connected in a circuit, an inductor always resists having current flow through it. When an inductor and a resistor are connected in series with a DC battery, the potential across the inductor is equal to the potential across the battery in steady state. An inductor always resists any change in the current through it. When an inductor and a resistor are connected in series with a DC battery, the current in the circuit is zero after a very long time. Inductors store energy by building up charge.

Explanation / Answer

Multiple questions I am allowed to answer only 1 question at a time According to the chegg guidelines.

1 ) Rate of change of magnetic field, dB/dt = ( 1.8 - 0.2 ) / 0.2 = 8 T/s

A = r^2 = * 0.06^2 = 0.0113 m^2

E = N A dB/dt = 60 * 0.0113 * 8 = 5.43 V ===================ANSWER) OPTION A) =====ANSWER)

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