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Q.

A current through a wire depends on time as i=α0t+βt2 where  α0=20A/s and  β=8As−2. Find the charge crossed through a section of the wire in 15 s.

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a

2100 C

b

2250 C

c

260 C

d

11250 C

answer is D.

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Detailed Solution

dqdt=20t+8t2⇒∫dq=∫015 20t+8t2dt⇒Δq=20t22+8t33015 =20×(15)22+8×(15)33=11250C
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