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A very long solenoid of inner radius 4.25 cm creates an oscillating magnetic field B of the form B = B m a x cos ( ω t ) For thi
Question
A very long solenoid of inner radius 4.25 cm creates an oscillating magnetic field B of the form B = B m a x cos ( ω t ) For this solenoid, B max = 0.00275 T and ω = 349 rad/s. What is the maximum value E max of the induced electric field at a perpendicular distance 1.85 cm from the axis of the solenoid?
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4 years
2021-08-09T06:24:10+00:00
2021-08-09T06:24:10+00:00 1 Answers
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Answer:
Explanation:
Flux
Φ = B A
= πR²B
-dΦ / dt = -πR²dB/ dt
EMF = – πR².00275d.cos ( ω t )/ dt
EMF = ( πR².00275/ω) sin ω t
EMFmax = ( πR².00275/ω)
EMFmax = ∫ E dR , E is elecreic field at distance R from the axis
= 2πR X E
( πR².00275/ω) = 2πR X Emax
Emax = R x .00275/2ω
= 1.85 x 10⁻² x .00275 / (2 x 349)
= .7288 x 10⁻⁷ N/C
= 7.288 x 10⁻⁸ N/C