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Q.

Magnetic field B in a cylindrical region of radius r varies according to the law B=Bot  as shown in the figure. A fixed conducting loop ABCDA of resistance R is lying in the region as shown. The current flowing through the loop is

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a

πa2B012R

b

π(r2−a2)B012R

c

π(b2−a2)B012R

d

π(b2−r2)B012R

answer is B.

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Detailed Solution

[ Step 1]:i=eR[ Step 2]:e=AdBdt[ Step 3]:=π6r2−a22B0[ Step 4]:∴i=r2−a2πB012R
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