Chapter 23, Problem 1OQ

To determine

The order of arrangement of emfs

Answer to Problem 1OQ

The order of arrangement of emfs is $E>A>B=D=0>C$.

Explanation of Solution

Write the equation for the induced emf in the coil.

    $\epsilon =-N\frac{\Delta \varphi }{\Delta t}$        (I)

Here, $N$ is the number of turns in the coil and $\Delta \varphi /\Delta t$ is the change in magnetic flux with time through the coil of wire. From equation (I), the negative of the time derivative of the magnetic flux gives the induced emf in the coil.

The point $E$ has the largest emf as it has the largest downward slope. The point $A$ has the next largest slope downward and hence $A$ comes next. The emf is zero at $B$ and $D$ as the line is horizontal to the points. The graph has the largest slope upwards at $C$ and hence $c$ has the largest negative emf.

Conclusion:

Therefore, the order of arrangement of emfs is $E>A>B=D=0>C$.