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Dmitry [639]
3 years ago
14

A solenoid 0.425 m long has 950 turns of wire. What is the magnetic field in the center of the solenoid when it carries a curren

t of 2.75 A? (JC 19.57)
Physics
1 answer:
lesya692 [45]3 years ago
4 0

Answer:

The magnetic field in the center of the solenoid is 7.8\times10^{-3}\ T.

Explanation:

Given that,

Length of solenoid = 0.425 m

Number of turns N = 950

Current I = 2.75 A

The magnetic field in the center of the solenoid is the product of the current , number of turns per unit length and permeability.

In mathematical form,

B = \mu_{0}nI

Where, n = \dfrac{N}{l}

N = number of turns

L = length

I = current

Now, The magnetic field

B = \dfrac{\mu_{0}NI}{l}

Put the value into the formula

B=\dfrac{4\pi\times10^{-7}\times950\times2.75}{0.425}

B=\dfrac{4\times3.14\times10^{-7}\times950\times2.75}{0.425}

B=7.8\times10^{-3}\ T

Hence, The magnetic field in the center of the solenoid is 7.8\times10^{-3}\ T.

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