A long solenoid has a radius and length of 2.30 cm and 25 cm respectively, has 580 turns. If the current in the solenoid is increasing at th

Question

A long solenoid has a radius and length of 2.30 cm and 25 cm respectively, has 580 turns. If the current in the solenoid is increasing at the rate of 17.8 A/s, what is the magnitude of the induced emf produced.

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Ngọc Khuê 5 years 2021-08-04T13:26:30+00:00 1 Answers 20 views 0

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  1. Neala
    0
    2021-08-04T13:27:54+00:00
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    Answer:

    Induced emf is equal to 0.05 volt

    Explanation:

    We have given length of the solenoid l = 25 cm = 0.25 m

    Radius of the solenoid r = 2.3 cm = 0.023 m

    Area of the solenoid A=\pi r^2=3.14\times 0.023^2=0.00166m^2

    Number of turns N = 580

    Inductance of the solenoid L=\frac{\mu _0N^2A}{l}=\frac{4\pi \times 10^{-7\times 580^2\times 0.00166}}{0.25}=0.0028H

    Rate of change of current \frac{di}{dt}=17.8A/sec

    Induced emf in inductor  is equal to e=L\frac{di}{dt}=0.0028\times 17.8=0.05volt

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