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long solenoid with radius a and n turns per unit length

Chapter 7, Problem 15P

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QUESTION:

Problem 15P

long solenoid with radius a and n turns per unit length carries a time-dependent current I (t) in the  direction. Find the electric field (magnitude and direction) at a distance s from the axis (both inside and outside the solenoid), in the quasistatic approximation.

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QUESTION:

Problem 15P

long solenoid with radius a and n turns per unit length carries a time-dependent current I (t) in the  direction. Find the electric field (magnitude and direction) at a distance s from the axis (both inside and outside the solenoid), in the quasistatic approximation.

ANSWER:

Solution 15P:

Step 1 of 4:-

There is a solenoid with turns per unit length and radius  which carries a time independent current in the direction.

We have to find the electric field at a distance from the solenoid axis in the quasistatic approximation, which means that the current through the wire is not changing very rapidly.

We already know the magnetic field inside a solenoid, which is:

It is in the direction of the solenoid axis.

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