Question

Magnetic flux Φ in weber in a closed circuit of resistance 10Ω varies with time Φ (sec) as Φ = 6t² - 5t + 1. The magnitude of induced current at t = 0.25s is ______.

Options

• 0.2 A

• 0.6 A

• 1.2 A

• 0.8 A

Answer 1

Magnetic flux Φ in weber in a closed circuit of resistance 10Ω varies with time Φ (sec) as Φ = 6t² - 5t + 1. The magnitude of induced current at t = 0.25s is 0.2 A.

Explanation:

e = `(-"d"phi)/"dt" =(-"d")/"dt"(6"t"^2-5"t"+1)=-12"t"+5`

e = -12(0.25) + 5 = 2 volt

i = `"e"/"R"=2/10=0.2"A"`