The energy, E stored in an inductor of inductance L when current I passes through it is given by the equation
E = \(\frac{1}{2} LI^2\)
E = LI2
E \(\frac{1}{2}LI\)
E = \(\frac{1}{2} L^2I\)
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Discussions (11)
Nooo...come on Admin, the correct answer is E= 1/2LI2 (2 is expressed in power i.e superscript)
therefore the answer is A
Myschool the answer is option A and I have seen you people solve a question pertaining energy stored in an inductor using option A formula
Wrong answer. The answer is A. Ref. New school physics pg 268(it is highlighted there)
The energy stored in an inductor is due to the magnetic field created by the current flowing through it. When current flows through an inductor, it generates a magnetic field around it, and this magnetic field stores the energy.
The energy stored in an inductor is directly proportional to the square of the current flowing through it and to the inductance of the inductor. Mathematically, it can be expressed as:
E = 1/2 * L * I^2
where E is the energy stored in the inductor, L is the inductance of the inductor, and I is the current flowing through the inductor.
The 1/2 factor in the equation comes from the integration of the energy density of the magnetic field over the volume of the inductor. This integration results in a factor of 1/2, which appears in the expression for the energy stored in the inductor. Therefore, option D is the correct equation for the energy stored in an inductor of inductance L when current I passes through it.
