A coil of resistance 10 Ω and inductance 5 H is connected to a 100 ~V battery. Then the energy stored in the coil is

Correct answer: (A) 250 ~J. Final current, I=E/R=10 ~A Energystored in the magnetic field U=1/2 L i 1/2 × 5 ×(10)^2=250 ~J

Q115 / 120 · VITEEE 2011 · Physics

A coil of resistance $10 \Omega$ and inductance $5 \mathrm{H}$ is connected to a $100 \mathrm{~V}$ battery. Then the energy stored in the coil is

Correct answer
A
$250 \mathrm{~J}$
B
$250 \mathrm{erg}$
C
$125 \mathrm{~J}$
D
$125 \mathrm{erg}$

Solution

Final current, $\mathrm{I}=\frac{E}{R}=10 \mathrm{~A}$ Energystored in the magnetic field $\begin{array}{l} \mathrm{U}=\frac{1}{2} L i \\ \frac{1}{2} \times 5 \times(10)^{2}=250 \mathrm{~J} \end{array}$

Hence, the correct answer is option: 'A'.

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