CH29-2 1 + 6 https//sessonnisteingphy acs.com/myct/iternView ProblemiD-51697004

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CH29-2 1 + 6 https//sessonnisteingphy acs.com/myct/iternView ProblemiD-51697004 c Q Google Aryde Vahoo! Google Maps YouTuhe Wikipedia NewPS), Popular' 1292 Exercise 29.36 xercise 29.36 Part A A long, thin solenoid has 940 tuns per meter and radius 2.90 The current in the solenid is ncreasing at a uniform rate of 64.0 A/s What is the magnitude of the induced electric feld at a point 0.510 cm from the axis of the solenoid? V/m Submit ty Answers Ghe Up Part B What is the magntude of the induced electric feld at a point 1 50 cm from the axis of the solensid? V/m ubmit y Answers Gee Up o e

Explanation / Answer

By the Maxwell-Faraday equation,
E ds = - B/t dS

B = (o)(n)(I)
B/t = (o)(n)(dI/dt)
B/t = (1.257e-6 N/A²)(940 turns/m)(+64.0 A/s)
B/t = 7.562e-2 T/s

E[2r] = -(o)(n)(dI/dt)(r²)
E = -(o)(n)(dI/dt)(r) / 2

a) ||E|| = (1.257e-6 N/A²)(940 turns/m)(+64.0 A/s)(5.10e-3 m) / 2
||E|| = 1.928e-4 N/C

b)
||E|| = (1.257e-6 N/A²)(940 turns/m)(+64.0 A/s)(1.5e-2 m) / 2
||E|| = 5.67e-4 N/C

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