Question

The Self-induced emf of a coil is 25 volts, When the current in it is changed at uniform rate from 10 A to 25 A in 1s, the change in the energy of the inductance is :

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Answer 1

GIVEN :

• The self induced emf of a coil = 25 volts.
• Current = 10 A to 25 A.
• time (t) = 1 sec.

TO FIND :

• The change in energy of the inductance = ?

SOLUTION :

$\large \red {\boxed {\sf L \: \dfrac {di}{dt} \: = \: 25}}$

$\implies \sf L \times \dfrac {15}{1} \: = \: 25$

$\implies \sf L \: = \: \dfrac {5}{3} \: H$

$\implies \sf \triangle E \: = \: \dfrac {1}{2} \times \dfrac {5}{3} \: (25^{2} \: - 10^{2})$

$\implies \sf \dfrac {5}{6} \times 525$

$\implies \sf \therefore \triangle E \: = \: 437.5 \: J$

$\large \blue {\boxed {\sf \triangle E \: = \: 437.5 \: J}}$

$\therefore$ The change in the energy of the inductance is 437.5 J.

Answer 2

Answer:

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