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 (Note that the B-field is not uniform in Fig. 2). Select ALL correct answers (i.e. B, AC, BCD) for the current in the loop. (The compass directions are defined in the usual way. North is up, East is to the right etc.) A) fig2: Loop moving South, no induced current. B) fig1: Loop moving West, induced current ^'a^'. C) fig2: Loop moving East, induced current ^'b^'. D) fig1: Magnet moving West, induced current ^'a^'. E) fig1: Magnet moving East, induced current ^'a^'. F) fig2: Loop moving North, induced current ^'b^'.

Explanation / Answer

1) fig2: Loop moving North, induced current 'b'.
true if the magnetic field is not continuous. since the loop is leaving the magnetic field, there will be a decrease in magnetic field which will cause a decrease in magnetic flux. therefore, the induced current direction will be the same.

false if the magnetic field is continus. since there is no change in the magnetic field, there will be no change in magnetic flux. therefore, there is no induced current.

2) fig2: Loop moving East, induced current 'b'.
true. since the loop is moving east and there is a drop in magnetic field which will cause a decrease in magnetic flux. therefore, the induced current direction will be the same.

3) fig2: Loop moving South, no induced current.
false if the magnetic field is not continuous. since the loop is leaving the magnetic field, there will be a decrease in magnetic field which will cause a decrease in magnetic flux. therefore, the induced current direction will be the same.

true if the magnetic field is continus. since there is no change in the magnetic field, there will be no change in magnetic flux. therefore, there is no induced current.

4) fig1: Magnet moving East, induced current 'a'.
true. since the magnet is moving east and there will be a drop in magnetic field which will cause a decrease in magnetic flux. therefore, the induced current direction will be the same as "a".

5) fig1: Magnet moving West, induced current 'a'.
false. since the magnet is moving west and there will be an increase in magnetic field which will cause a increase in magnetic flux. therefore, the induced current direction will be the opposite.

6) fig1: Loop moving West, induced current 'a'.
true. since the loop is moving west and there will be a drop in magnetic field which will cause a decrease in magnetic flux. therefore, the induced current direction will be the same

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