The flux linked with a coil at any instant t is given by = 10t^2 - 50t + 250 . The induced emf at t = 3 s is: - Physics MCQ AIEEE 2006 2026 | ExamTest.live

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The flux linked with a coil at any instant t is given by ϕ = 10 t^{2} - 50 t + 250 . The induced emf at t = 3 s is:

Solution & Step-by-step Explanation

Induced emf is given by Faraday's law: ϵ = - \frac{d ϕ}{d t} ϵ = - \frac{d}{d t} (10 t^{2} - 50 t + 250) = - (20 t - 50) At t = 3 s : ϵ = - (20 \times 3 - 50) = - (60 - 50) = - 10 V .

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The flux linked with a coil at any instant t is given by ϕ = 10 t^{2} - 50 t + 250 . The induced emf at t = 3 s is:

190 V

- 190 V

- 10 V

10 V

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