two long ideal solenoids (with radii 20cm and 30cm, respectively) have the same

Question

two long ideal solenoids (with radii 20cm and 30cm, respectively) have the same number of turns of wire per unit length. The smaller solenoid is mounted inside the larger, along a common axis. The magnetic field within the inner solenoid is zero. The magnitude of the current in the inner solenoid must be: A. 2/3 the current in the outer solenoid. B. 1/3 the current in the outer solenoid. C. 2x the current in the outer solenoid D. 1/2 the current in the outer solenoid. E. The same as the current in the outer solenoid.

Explanation / Answer

The B field is the same regardless of the diameter, so the current is the same.

So correct option is (E)

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