(25%) Problem 4: A 0.35 m radius, 500 turn coil is rotated one-fourth of a revol

Question

(25%) Problem 4: A 0.35 m radius, 500 turn coil is rotated one-fourth of a revolution in 4.06 ms, originally having its plane perpendicular to a uniform magnetic field Randomized Variables r=0.35 m t=4.06 ms (> Find the magnetic field strength in T needed to induce an average emf of 10,000 V Grade Summary Deductions Potential B = 0.7581 10% 90% Submissions Attempts remaining: 3 (5% per attempt) detailed view 789HOME cosO cotan0 asin) acos0 atan)a acotansinh0 | 5% 5% coshO tanhO cotanh0 0 END Degrees Radians BACKSPACEDEL CLEAR Submit Hint I give up! Hints: 2% deduction per hint. Hints remaining: 3 Feedback: 0% deduction per feedback

Explanation / Answer

r = 0.35 m , dt = 4.06 * 10-3 s

E = N * dphi/dt = n * d(BA)/dt = NB * dA/dt

B = E * dt / N dA

= (10000 * 4.06 * 10-3) / (500 * pi * 0.352)

magnetic field strength B = 0.211 T

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