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Problem 5. (4 points) Electric field induced by a changing magnetic field in a solenoid. long solenoid of radius R = 10 cm has n = 100 turns/cm and carries a time-varying current that varies sinusoidally as I- Imax cos (2rft), where Imax- 10 A is the maximum current and f-60 Hz is the frequency of the alternating current source. What is the maximum magnitude of the induced electric field inside the solenoid, a distance r- 1.3 cm from its axis? (A) 0.1 V/m (B) 0.2 V/m (C) 0.3 V/nm (D) 0.4 V/m Path of integration Figure 5. A long solenoid.

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