Question

Sketch a graph of emf induced in an inductive coil against the rate of change of
current. What is the significance of the gradient?

Answer 1

$\huge{\dag} \: {\underline{\boxed{\sf{\purple{ Answer }}}}}$

Gradient tells you how much something changes as you move from one point to another (such as the pressure in a stream). The gradient is the multidimensi

Answer 2

The graph of emf induced in an inductive coil against the rate of change of magnetic flux through the coil is a straight line, as shown below:

     ^
     |

     |     /\ EMF induced

     |    /

     |   /

     |  /

     | /

     |/______________  Rate of change of current


The gradient of the graph represents the inductance of the coil, which is a measure of its ability to store energy in a magnetic field. Specifically, the gradient is equal to the inductance of the coil multiplied by a constant factor (2π), known as the frequency. This is given by the equation:

                                   EMF = -L (dI/dt)

where EMF is the induced electromotive force, L is the inductance of the coil, and dI/dt is the rate of change of current. The negative sign indicates that the induced EMF opposes the change in current.

Therefore, the gradient of the graph gives us information about the inductance of the coil, and the slope of the line represents the inductance multiplied by the frequency. The steeper the slope, the higher the inductance of the coil, which means it has a greater ability to store energy in a magnetic field.

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