Electromagnetic Induction Ques 28

28. A $100$ millihenry coil carries a current of $1 $ $A$. Energy stored in its magnetic field is

[1991]

(a) $0.5 $ $J$

(b) $1 $ $A$

(c) $0.05 $ $J$

(d) $0.1$ $ J$

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Answer:

Correct Answer: 28.(c)

Solution:

(c) $E=\frac{1}{2} L i^{2}=\frac{1}{2} \times(100 \times 10^{-3}) \times 1^{2}=0.05 $ $J$

In building a steady current in the circuit, the source emf has to do work against self inductance of coil and whatever energy consumed for tis work stored in magnetic field of coil-called magnetic potential energy (u) of coil $u=\frac{1}{2} L I^{2}=\frac{N \phi i}{2}$