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CALC A flat, circular, steel loop of radius 75 cm is at
Chapter 29, Problem 29.8(choose chapter or problem)
CALC A flat, circular, steel loop of radius 75 cm is at rest in a uniform magnetic field, as shown in an edge-on view in Fig. E29.8. The field is changing with time, according to (a) Find the emf induced in the loop as a function of time. (b) When is the induced emf equal to of its initial value? (c) Find the direction of the current induced in the loop, as viewed from above the loop.
Questions & Answers
QUESTION:
CALC A flat, circular, steel loop of radius 75 cm is at rest in a uniform magnetic field, as shown in an edge-on view in Fig. E29.8. The field is changing with time, according to (a) Find the emf induced in the loop as a function of time. (b) When is the induced emf equal to of its initial value? (c) Find the direction of the current induced in the loop, as viewed from above the loop.
ANSWER:(a) The induced emf in the loop is given by Faraday's law:
$$
e = -\frac{d\Phi}{dt} = -\frac{d}{dt}\left(B\pi r^2\right)
$$
where $B$ is the magnetic field strength, $\pi r^2$ is the area of the loop, and $r$ is the radius of t