472. assignment (induced emf)

18.4.4 Evaluate the solution

The problem: A single 0. 10 m x 0.10 m square loop is between the poles of a large electromagnet. The surface of the loop makes a 53-degree angle with respect to the magnetic field. The magnetic field varies as shown in the illustration. Determine the induced emf produced by the loop.

Proposed solution:

Sketch and translate

See the drawing at the right.

 

Simplify and diagram

The magnetic flux Ф through the loop increases as the magnetic field increases (see the graph). The emf has the same shape, only with a negative sign (the lower graph line).

Represent mathematically and solve

 

a. Identify any errors in the solution.

b. Provide a correct solution if there are errors.

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