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The energy (W) 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.
Given that ( L = 2H ) and ( I = 4A ):
[ W = frac{1}{2} times 2 times 4^2 ]
[ W = frac{1}{2} times 2 times 16 ]
[ W = frac{1}{2} times 32 ]
[ W = 16 , text{joules} ]
So, the energy stored in the inductor is 16 joules.
Answer: d
Explanation: From Stoke’s theorem, we can calculate energy stored in an inductor as
0.5Li2. E = 0.5 X 2 X 42 = 16 units.