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A long solenoid with 1.35 x 10 turns per meter and radius 2.00 cm carries an oscillating current I = 3.00 sin 80nt, where I i

A long solenoid with 1.35 x 103 turns per meter and radius 2.00 cm carries an oscillating current I = 3.00 sin 80πt, where I is in amperes and t is in seconds. 

(a) What is the electric field induced at a radius r = 1.00 cm from the axis of the solenoid? (Use the following as necessary: t. Let E be measured in millivolts/meter and t be measured in seconds.) 

(b) What is the direction of this electric field when the current is increasing counterclockwise in the solenoid? 

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