the current flowing through an inductor of self-inductance L is continuously increasing. plot a graph showing the variation of
1) magnetic flux versus current.
2)induced emf versus dI/dt.
3)magnetic potential energy versus the current
please explain in detail and clearly
Asked by modi72879 | 21st Nov, 2017, 04:58: PM
The basic equation related to inductance and induced emf is given by
L is inductance, e is induced emf, I is current and t is time.
Faraday's law that relates induced emf and rate of change of magnetic flux through N turns of coil is given by
From the above equations (1) and (2) we can write,
(1) Hence the graph for variation of magnetic flux against current is linear
(2) the graph for the variation of induced emf versus di/dt lso linear as per the equation (1) given here.
The current flowing in the inductance has to do work against the induced emf in the inductance. This work is stored as magnetic potential energy in the inductor.
The work done is given by
(3) Hence the magnetic potential energy proportional to square of current
The required graphs are shown below
Answered by | 27th Nov, 2017, 03:48: PM
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