An infinite solenoid with radius b has n turns per unit length. The current varies in time according to Iptq  I0 cosωt (with positive defined as shown in the figure, i.e., counterclockwise). A ring with radius r b and resistance R is centered on the solenoid’s axis, with its plane perpendicular to the axis. (a) What is the induced current in the ring? (b) A given little piece of the ring will feel a magnetic force. For what values of t is this force maximum? (c) What is the effect of the force on the ring? In other words, does the force cause the ring to translate, spin, flip over, stretch/ shrink, etc.?

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Chapter1: Units, Trigonometry. And Vectors
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An infinite solenoid with radius b has n turns per unit length. The current varies in time according to Iptq  I0 cosωt (with positive defined as shown in the figure, i.e., counterclockwise). A ring with radius r   b and resistance R is centered on the solenoid’s axis, with its plane perpendicular to the axis.



(a) What is the induced current in the ring? (b) A given little piece of the ring will feel a magnetic force. For what values of t is this force maximum? (c) What is the effect of the force on the ring? In other words, does the force cause the ring to translate, spin, flip over, stretch/ shrink, etc.?

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