The figures below show two different situations where a current may be induced i

Question

The figures below show two different situations where a current may be induced in a loop according to Faraday's Law, with the direction given by Lenz' Law. The magnetic field is shown by the x's in Fig. 2. Select true or false for the current in the loop. (The compass directions are defined in the usual way.)

True/False fig1: Magnet moving East, induced current 'a'.
True/False fig2: Loop moving East, induced current 'b'.
True/False fig1: Loop moving West, induced current 'a'.
True/False fig2: Loop moving South, no induced current.
True/False fig1: Magnet moving West, induced current 'a'.
True/False fig2: Loop moving North, induced current 'b'.

Explanation / Answer

1 ) True, if the magnet is moving east, less flux will travel through the loop. Thus, the induced current will be such as to gain flux. Using the right hand rule, more flux will be in the loop if current travels in the direction indicated by ’a’

2 )

True, since the loop is moving into a region of lesser magnetic field, the induced current will be such as to oppose that change; that is, to increase the flux. Using the right hand rule, the current will flow in the direction indicated by ’b’

3 )

True, if the loop moves west, the same principle as the magnet moving east applies.

4 )

True , since the flux is not changing through the loop, there is no induced current.

5 )

False

6 )

False, since the flux is not changing through the loop, there is no induced current.

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