13.1 Faraday’s Law

Flux through a surface from field strength, area, and tilt angle, and the emf that a changing flux drives around a loop or an N-turn coil.

University Physics Volume 2, 13.1 Faraday’s Law

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8 exercises

13.1 Exercise 1

A closely wound coil has a radius of 4.0 cm, 50 turns, and a total resistance of $40 \Omega$ . At what rate must a magnetic field perpendicular to the face of the coil change in order to produce heating in the coil at a rate of 2.0 mW?

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13.1 Exercise 2

A stationary coil is in a magnetic field that is changing with time. Does the emf induced in the coil depend on the actual values of the magnetic field?

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13.1 Exercise 4

A copper ring and a wooden ring of the same dimensions are placed in magnetic fields so that there is the same change in magnetic flux through them. Compare the induced electric fields and currents in the rings.

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13.1 Exercise 6

(a) Does the induced emf in a circuit depend on the resistance of the circuit? (b) Does the induced current depend on the resistance of the circuit?

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13.1 Exercise 8

Can there be an induced emf in a circuit at an instant when the magnetic flux through the circuit is zero?

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13.1 Exercise 10

How would you position a flat loop of wire in a changing magnetic field so that there is no induced emf in the loop?

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13.1 Exercise 13

Repeat your calculations of the preceding problem’s time of 0.1 s with the plane of the coil making an angle of (a) $30 ° ,$ (b) $60 ° ,$ and (c) $90 °$ with the magnetic field.

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13.1 Exercise 17

How would the answers to the preceding problem change if the coil consisted of 20 closely spaced turns?

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