Physics: A circular solenoid has 100 loops per centimeter, a radius of 4.53 cm, a length of 8.88 cm, and carries a current of 500 mA. It s inductance is: a) 7.75 mH b) 71.9 mH c) 18.0 mH d) 0.912 mH

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A circular solenoid has 100 loops per centimeter, - id10013837019, EmmaKozlewski4907

Ответ:

haleysmith8608

25.07.2021

Physics

The inductance of the solenoid is 71.98 mH

Explanation:

Given;

number of loops per length of the solenoid, n = 100 loops/cm

radius of the solenoid, r = 4.53 cm

length of the solenoid, L = 8.88 cm

current carried by the solenoid, I = 500 mA

The inductance of the solenoid is calculated as;

$L = \frac{N^2\times \mu_0 \times A}{l}$

where;

A is the area of the coil

$A =\pi r^2 = \pi (0.0453)2 = 0.00645 \ m^2$

N is the number of turns, = 100 x 8.88 = 888 loops

l is the length = 0.0888 m

$L = \frac{N^2\times \mu_0 \times A}{l}\\\\L = \frac{(888)^2\times \(4\pi \times 10^{-7}) \times (0.00645)}{0.0888}\\\\L = 0.07198 \ H\\\\L = 71.98 \ mH$

Therefore, the inductance of the solenoid is 71.98 mH

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A circular solenoid has 100 loops per centimeter, a radius of 4.53 cm, a length of 8.88 cm, and carries a current of 500 mA. It's inductance is: a) 7.75 mH
b) 71.9 mH
c) 18.0 mH
d) 0.912 mH

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A circular solenoid has 100 loops per centimeter, a radius of 4.53 cm, a length of 8.88 cm, and carries a current of 500 mA. It's inductance is: a) 7.75 mH b) 71.9 mH c) 18.0 mH d) 0.912 mH

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A circular solenoid has 100 loops per centimeter, a radius of 4.53 cm, a length of 8.88 cm, and carries a current of 500 mA. It's inductance is: a) 7.75 mH
b) 71.9 mH
c) 18.0 mH
d) 0.912 mH