What current is needed in the solenoid's wires? Express your answer to two significant figures and include the appropriate units. Problem 24.16A researcher would like to perform an experiment in a zero magnetic field, which means that the field of the earth must be canceled. Suppose the experiment is done inside a solenoid of diameter 1.0 m, length 3.6m, with a total of 5000 turns of wire. The solenoid is oriented to produce a field that opposes and exactly cancels the 52? T local value of the earth's field

Question

Braeden Ritter

Physics

4 May, 15:16

What current is needed in the solenoid's wires? Express your answer to two significant figures and include the appropriate units. Problem 24.16A researcher would like to perform an experiment in a zero magnetic field, which means that the field of the earth must be canceled. Suppose the experiment is done inside a solenoid of diameter 1.0 m, length 3.6m, with a total of 5000 turns of wire. The solenoid is oriented to produce a field that opposes and exactly cancels the 52? T local value of the earth's field

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Macie Stephenson · Answer 1

I = 2.98 10⁻² A

Explanation:

The equation for the magnetic field within a solenoid is

B = μ₀ n I

Where miuo is the magnetized permittivity that is worth 4π 10⁻⁷ N / A², n is the density is turns per unit length and I is the current

Density is defined as the number of turns per unit length

n = N / L

We replace

B = μ₀ N/L I

I = B L / μ₀ N

We calculate

I = 52 10⁻⁶ 3.6 / (4π 10⁻⁷ 5000)

I = 2.98 10⁻² A