JEE Main 2021 · 24 Feb · Shift 1 · Physics Q13 · Dronacharya Exams

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PhysicsSingle correct+4 / -1Question 13 of 90

A current through a wire depends on time as

$i=\alpha_0t+\beta t^2$

where $\alpha_0$ = 20 A/s and β = 8 A s $^{-2}$ . Find the charge crossed through a section of the wire in 15 s.

A

260 C

B

2100 C

C

11250 C

D

2250 C

Answer and worked solution

Official answer: C

Charge $\displaystyle\int_0^{15}(20t+8t^2)dt=10(225)+\frac83(3375)=2250+9000=11250$ C.

(C)

Topics:Drift velocity and current

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