A coil has an inductance of 2 H and resistance of . A 10 V is applied across the coil. The energy stored in the magnetic field after the current has built up to its equilibrium value will be _________ . [2023]

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Solution

Q.
A coil has an inductance of 2 H and resistance of $4 Ω$ . A 10 V is applied across the coil. The energy stored in the magnetic field after the current has built up to its equilibrium value will be _________ $\times 10^{- 2} J$ . [2023]

Ans.
(625)

$I = \frac{V}{R} = \frac{5}{2} A$

$E = \frac{1}{2} L I^{2} = \frac{1}{2} \times 2 \times {(\frac{5}{2})}^{2}$

$E = 625 \times 10^{- 2} J$

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