Electromagnetic Induction Ques 37

37. In a coil of resistance $10$ $ \Omega$, the induced current developed by changing magnetic flux through it, is shown in figure as a function of time. The magnitude of change in flux through the coil in Weber is :

[2012M]

(a) $8$

(b) $2$

(c) $6$

(d) $4$

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Answer:

Correct Answer: 37.(b)

Solution:

  1. (b) The charge through the coil $=$ area of current-time $(i-t)$ graph

$q=\frac{1}{2} \times 0.1 \times 4=0.2 $ $C$

$q=\frac{\Delta \phi}{R} \quad \because$ Change in flux $(\Delta \phi)=q \times R$

$q=0.2=\frac{\Delta \phi}{10}$

$\Delta \phi=2$ Weber