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

a. 2100 C

b. 260 C

c. 2250 C

d. 11250 C

Answer: (d)

Given: i = α0t + βt2

α = 20 A/s and β = 8As-2

t = 15 sec

JEE Main 2021 24 Feb Physics Shift 1 Question 10 solution

⇒ Q = 20×15×15 / 2 + 8×15×15×15 / 3 – 0

⇒ Q = 11250 C

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