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jasenka [17]
3 years ago
12

We have a solenoid made of stainless steel with 50 turns/m. The diameter of the wire is 2mm and when stretched it is 10m. What i

s the value of the magnetic field inside, in the center, when we apply a 5v DC voltage at its ends?
Physics
1 answer:
Anastaziya [24]3 years ago
6 0

Answer:

The value of the magnetic field inside in the center is 0.89759\times10^{-3}\ T.

Explanation:

Given that,

Number of turns per length = 50

Diameter = 2 mm

Stretched = 10 m

Voltage = 5 V

We need to calculate the resistance

Using formula of

R=\dfrac{\rho l}{A}

R=\dfrac{4\rho l}{\pi d^2}

Put the value into the formula

R=\dfrac{4\times1.1\times10^{-7}\times10}{\pi\times(2\times10^{-3})^2}

R=0.35\ \Omega

We need to calculate the magnetic field

Using formula of magnetic field

B = \mu_{0}nI

B=\mu_{0}n\times\dfrac{V}{R}

B=4\pi\times10^{-7}\times50\times\dfrac{5}{0.35}

B=0.89759\times10^{-3}\ T

Hence, The value of the magnetic field inside in the center is 0.89759\times10^{-3}\ T.

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