High School

A long solenoid with 2.00×10

3

turns per meter and radius 2.00 cm carries an oscillating current I=6.00 sin 80πt, where I is in amperes and t is in seconds. in seconds.) E (b) What is the direction of this electric field when the current is increasing counterclockwise in the solenoid? clockwise counterclockwise

Answer :

When the current is increasing counterclockwise in the solenoid, the direction of the electric field is clockwise.

According to Faraday's law of electromagnetic induction, a changing magnetic field induces an electric field. In a solenoid, the changing current creates a changing magnetic field. When the current is increasing counterclockwise, the magnetic field inside the solenoid is also increasing in the same direction. The induced electric field opposes the change in magnetic field.

By applying the right-hand rule, we find that the induced electric field lines form closed loops in the opposite direction to the changing magnetic field, which is clockwise. Therefore, when the current is increasing counterclockwise in the solenoid, the direction of the electric field is clockwise.

Learn more about Faraday's law here:

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