Electromagnetic Induction - Result Question 33

33. The total charge induced in a conducting loop when it is moved in a magnetic field depend on

(a) the rate of change of magnetic flux [1992]

(b) initial magnetic flux only

(c) the total change in magnetic flux

(d) final magnetic flux only

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Answer:

Correct Answer: 33. (c)

Solution:

  1. (c) $q=\int i d t=\frac{1}{R} \int e d t=\frac{1}{R} \int(\frac{-d \phi}{d t}) d t$

$=\frac{1}{R} \int d \phi \quad$ (taking only magnitude of e $)$

Hence, total charge induced in the conducting loop depends upon the total change in magnetic flux.