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Answer: a
Explanation: dw = ei dt = Li di, W = L∫ i.di
Energy E = 0.5LI2 = 0.5 X 0.1 X 22 = 0.2 Joule.
The energy stored in an inductor can be calculated using the formula:
[ W = frac{1}{2} L I^2 ]
where:
– ( W ) is the energy in joules,
– ( L ) is the inductance in henries,
– ( I ) is the current in amperes.
For an inductor of 100 mH (0.1 H) and a current of 2 A, the calculation is as follows:
[ W = frac{1}{2} times 0.1 times (2^2) ]
[ W = frac{1}{2} times 0.1 times 4 ]
[ W = frac{1}{2} times 0.4 ]
[ W = 0.2 text{ joules} ]
So, the energy stored in the inductor is 0.2 joules.