Question

The current flowing through an inductor of self inductance L is continuously increasing. Plot a graph showing the variation of:
(i) Magnetic flux versus the current.
(ii) Induced emf versus dI/dt.
(iii) Magnetic potential energy stored versus the current.

Answer 1

Answer:

(i) Straight line with slope L

(ii) Straight line with -L

(iii) Curved increasing slope

Explanation:

In the answer already posted only the graph (ii) is incorrect

It should've been:

Image attached below

Answer 2

Basic equation of inductance and induced emf is -e = L di / dt

Explanation:

The basic equation related to inductance and induced emf is given by  

-e = L di / dt   ------(1)

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

e = - N dϕ / dt        ----- (2)  

The graph between (i) Magnetic flux versus the current is a straight line current on x - axis and magnetic flux on y-xis. It starts from the origin and lies between  x and y axis.

The graph between (ii) Induced emf versus dI/dt is also a straight line with rate of change of current on x - axis and induced emf on y- axis and lies between x and y making a certain angle.

Similarly the graph between magnetic potential energy and current is a curve.