Question

A plane circular coil has 200 turns and its radius is 0.10m. It is connected to a battery. After switching on the circuit a current of 2A is set up in the coil. Calculate the energy stored in the coil.

Answer 1

since we have done this

Answer 2

The energy stored in the coil is $3.16\times 10^{-3}\ J.$

Given :

Number of turns , n = 200.

Radius , r = 0.10 m .

Current in coil , I = 2 A .

Since , length is not mentioned we will take it as , L = 1 m .

We know, Inductance of a coil is :

$I=\dfrac{n^2\mu_oA}{L}$

Putting all values in it we get :

$L=1.58\times 10^{-3}\ henry$.

Now, we know Energy of a coil is given by :

$E=\dfrac{L\times I^2}{2}$

Putting all values we get ,

$E=3.16\times 10^{-3}\ J.$

Hence, this is the required solution.

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Electromagnetism

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