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Question: Answered & Verified by Expert
A coil of resistance $10 \Omega$ and an inductance $5 \mathrm{H}$ is connected to a $100 \mathrm{~V}$ battery. The energy stored in the coil is
PhysicsElectromagnetic InductionVITEEEVITEEE 2014
Options:
  • A $325 \mathrm{erg}$
  • B $125 \mathrm{~J}$
  • C $250 \mathrm{erg}$
  • D $250 \mathrm{~J}$
Solution:
1822 Upvotes Verified Answer
The correct answer is: $250 \mathrm{~J}$
$\quad$ Current $\mathrm{I}=\frac{\mathrm{V}}{\mathrm{R}}=\frac{100}{10}=10 \mathrm{~A}$
Energy, $\mathrm{E}=\frac{1}{2} \mathrm{LI}^{2}$
$=\frac{1}{2} \times 5 \times(10)^{2}=250 \mathrm{~J}$

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