A solenoid used to produce magnetic fields for research purposes is 2.0 m long, with an inner radius of 30 cm and 1000 turns of wire. When running, the solenoid produces a field of 1.0 T in the center. Given this, how large a current does it carry?

The current the solenoid carries is as large as 1591.3 A

Explanation:

Given;

length of solenoid, L = 2.0m

radius of the solenoid, R = 30 cm = 0.3 m

number of turns of wire, N = 1000

strength of magnetic field, B = 1.0 T

The magnetic field strength inside a solenoid is;

Where;

μ₀ is permeability of free space, = 4π x 10⁻⁷

n is number of turns per length

I is the current in the solenoid

Therefore, the current the solenoid carries is as large as 1591.3 A

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