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Induced EMF in a Solenoid

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The axis of a solenoid with 1000 turns and a cross-sectional area of 2.0×10−42.0 \times 10^{-4} m² is parallel to a magnetic field. The magnitude of the magnetic field varies with time tt according to the equation B(t)=(0.30 T)e−t/τB(t) = (0.30\ \text{T})e^{-t/\tau}, where τ=0.20 s\tau = 0.20\ \text{s}. What is the magnitude of the induced emf in the solenoid at t=0.10 st = 0.10\ \text{s}?

A

0.14 V

B

0.54 V

C

0.41 V

D

0.18 V

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