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Physics-

General

Easy

Question

The flux associated with coil changes from 1.35 Wb to 0.79 Wb within $fraction numerator 1 over denominator 10 end fraction$ s. Then the charge produced by the earth coil, if resistance of coil is 7 $capital omega$ is

0.08 C
0.8 C
0.008 C
8 C

The correct answer is: 0.08 C

As, $blank I equals fraction numerator E over denominator R end fraction equals fraction numerator d ϕ over denominator R d t end fraction$
or $I d t equals fraction numerator d ϕ over denominator R end fraction$
Integrating
$not stretchy integral I d t equals not stretchy integral fraction numerator d ϕ over denominator R end fraction$
or $blank q equals fraction numerator ϕ over denominator R end fraction$
If coil contains N turns, then q $equals fraction numerator N ϕ over denominator R end fraction$
If there is flux change $capital delta ϕ$ , then
$blank q equals fraction numerator N capital delta ϕ over denominator R end fraction$
$blank equals fraction numerator 1 over denominator 7 end fraction cross times open parentheses 1.35 minus 0.79 close parentheses equals 0.08 blank C$

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