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Q.

A current through a wire depends on time as i=α0t+βt2 where  α0=8A/s and  β=20As2. Find the charge crossed through a section of the wire in 1.5 s.

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a

315 C

b

31.5 C

c

1125 C

d

11250 C

answer is B.

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Detailed Solution

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dqdt=8t+20t2dq=01.58t+20t2dtΔq=8t22+20t3301.5 =8×(1.5)22+20×(1.5)33= 31.5 C

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