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Standard XII

Physics

Lenz's Law

A coil of res...

Question

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

125 erg

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125 J

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250 erg

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250 J

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Solution

The correct option is C 250 J
Steady state current
$I_{0} = \frac{V}{R} = \frac{100}{10} = 10 A$
$∴$ Energy stored in the coil $U = \frac{1}{2} L I_{0}^{2}$
$= \frac{1}{2} \times 5 \times {(10)}^{2} = 250 J$

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

The correct option is C 250 JSteady state currentI0=VR=10010=10A∴ Energy stored in the coil U=12LI20=12×5×(10)2=250J

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

The correct option is C 250 J
Steady state current
$I_{0} = \frac{V}{R} = \frac{100}{10} = 10 A$
$∴$ Energy stored in the coil $U = \frac{1}{2} L I_{0}^{2}$
$= \frac{1}{2} \times 5 \times {(10)}^{2} = 250 J$