Science, asked by Anonymous, 8 months ago

explain the concept of self inductance and calculate the energy stored in coil having coefficient of self inductance 0.3 MS coil is carrying current of 2 ampere
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Answers

Answered by vkpathak2671
1

Answer:

Self-inductance of a coil is defined as the ratio of the total flux linked with the coil to the current flowing through it.

L=

I

B

When the current is varied, the flux linked with the coil changes and an e.m.f. is induced in the coil. It is given as

ε=−

dt

d(Nϕ

B

)

=−L

dt

dI

The self-induced e.m.f. is also called back e.m.f. as it opposes any change in current in the circuit.

So, work needs to be done against back e.m.f. in establishing current. This work done is stored as magnetic potential energy. The rate of doing work is given as

dt

dW

=∣ε∣I=LI

dt

dI

(neglecting negative sign)

Thus, the total work done in establishing current from 0 to I is

w=∫dW=

0

I

LIdI=

2

1

LI

2

Answered by havockarthik30
5

Self-inductance of a coil is defined as the ratio of the total flux linked with the coil to the current flowing through it.

L= INϕ B

When the current is varied, the flux linked with the coil changes and an e.m.f is induced in the coil. It is given as

ε=− dt d(Nϕ B) =−L dtdI

The self-induced e.m.f is also called back e.m.f. as it opposes any change in current in the circuit So, work needs to be done against back e.m.f. in establishing current This work done is stored as magnetic potential energy. The rate of doing work is given as

dt

dW

=∣ε∣I=LI dtdI

(neglecting negative sign)

Thus, the total work done in establishing current from 0 to I is

W=∫dW 0∫I

LIdI= 1 /2LI 2

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