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A coil of inductance 1.0 H and resistanc...

A coil of inductance `1.0 H` and resistance `100 Omega` is connected to a battery of emf `12 V`. Find the energy stored in the magnetic field associated with the coil at an instant `10 ms` after the circuit is switched on.

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To solve the problem step by step, we will follow these calculations: ### Step 1: Identify the given values - Inductance, \( L = 1.0 \, \text{H} \) - Resistance, \( R = 100 \, \Omega \) - EMF of the battery, \( E = 12 \, \text{V} \) - Time after switching on the circuit, \( t = 10 \, \text{ms} = 10 \times 10^{-3} \, \text{s} \) ...
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Knowledge Check

  • A coil of inductance 1.0 H and resistance 100 ohm is connected to a battery of emf 12 V. Find the energy stored in the magnetic field of the coil 10 ms after the circuit is switched on.

    A
    2.88 mJ
    B
    2.53 mJ
    C
    1.59 mJ
    D
    1.75 mJ
  • A resistive coil of self-inductance 2 H and resistance 5 Omega is connected across a battery of 50 V. How much energy will be stored in the inductor?

    A
    1000 joules
    B
    10 joules
    C
    100 joules
    D
    500 joules
  • A coil of inductance L=50muH and resistance = 0.5Omega is connected to a battery of emf = 5V. A resistance of 10Omega is connected parallel to the coil. Now, at the same instant the connection of the battery is switched off. Then, the amount of heat generated in the coil after switching off the battery is

    A
    1.25 mJ
    B
    2.5 mJ
    C
    0.65 mJ
    D
    0.12 mJ
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