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23 Nov 2019

1. A very long solenoid aligned with the z axis with radius a =0.5 m and n = 6370 turns/m has a current that is increasing at arate of

dI/dt = 0.3 A/s,

causing an increase in the magnetic field pointing in the zdirection. The formula for the magnetic field inside a solenoidis

B = μ0nI

The magnetic field is almost constant across the inside of thesolenoid (parallel to the axis) and almost zero outside.

(a) Calculate the EMF around a circle of radius r = 0.06 m from thecenter of the solenoid.

ε = 2.71361*10-5 V


(b) Calculate the EMF around a circle of radius r = 0.69 m from thecenter of the solenoid.


(c) You put a circular ring of wire with radius r = 0.69 m andresistance R = 0.1 Ω is placed at the center of the solenoid.How much current flows through the ring?


(d) What direction is the current flowing?

(Choices below)


∴ -x
∴ +x
∴ Clockwise (looking towards the origin from the +z side)
∴ Counterclockwise (looking towards the origin from the +zside)

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