Question 12

A square loop of side $$15 \text{ cm}$$ being moved towards right at a constant speed of $$2 \text{ cm/s}$$ as shown in figure. The front edge enters the $$50 \text{ cm}$$ wide magnetic field at $$t = 0$$. The value of induced emf in the loop at $$t = 10 \text{ s}$$ will be :

Side of square loop,

$$a=15\ \text{cm}$$

Speed of loop,

$$v=2\ \text{cm s}^{-1}$$

Time taken by the complete loop to enter the magnetic field:

$$t=\frac{15}{2}=7.5\ \text{s}$$

Since,

$$10\ \text{s} > 7.5\ \text{s}$$

the complete loop is inside the magnetic field at t=10 s.

Therefore, magnetic flux linked with the loop does not change.

$$e=\frac{d\phi}{dt}$$

Since,

$$\frac{d\phi}{dt}=0$$

Hence,

$$\boxed{e=0}$$

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