JEE Main 2021PhysicsCurrent ElectricityHardMCQ

JEE Main 2021 — Current Electricity Question with Solution

JEE Main 2021 (24 Feb Shift 1)

Question

A current through a wire depends on time as i=α0t+βt2, where α0=20 A s-1 and β=8 A s-2. Find the charge crossed through a section of the wire in 15 s.

Choose an option

Show full solutionCorrect option: B
Correct answer
B11250 C

Step-by-step explanation

i=20t+8t2

i=dqdt⇒∫dq=∫idt

⇒q=∫01520t+8t2dt

q=20t22+8t33015

q=10×152+81533

q=2250+9000

q=11250 C

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About this question

This is a previous-year question from JEE Main 2021, covering the Current Electricity chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.