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Induced EMF in a Coil Around a Solenoid

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The current in a 200-turn solenoid with a cross-sectional area of 4.0×10−4 m24.0 \times 10^{-4} \, \text{m}^2 is described by the function I=I0e−t/τI = I_0 e^{-t/\tau}, where τ=0.05 s\tau = 0.05 \, \text{s}. At time t=0t=0, the magnetic field inside the solenoid is 0.30 T0.30 \, \text{T}. A single-turn coil surrounds the solenoid. What is the magnitude of the induced electromotive force (emf) in the coil at t=0.05 st = 0.05 \, \text{s}?

A

0 V

B

2.4×10⁻⁵ V

C

8.8×10⁻⁴ V

D

1.2×10⁻⁴ V

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