Chapter 29, Problem 1Q

To determine

The advantage of using coil with many turns in Faraday’s experiments.

Answer to Problem 1Q

The advantage of using coil with many turns in Faraday’s experiment increases the values of the quantities to be experimentally measured.

Explanation of Solution

From the experiment shown in the Figure 29-1, Faraday concluded that a constant magnetic field does not produce current in the conductor, but a changing magnetic field can produce a current, this current is known as induced current. And also changing magnetic field induces an emf.

From the Faraday’s law, write the expression for induced emf if the circuit contains $N$ number of loops.

    $\epsilon =-N\frac{d\Phi }{dt}$        (I)

Here, $\epsilon$ is the induced emf, $N$ is the number of loops, and $\Phi$ is the flux.

Write the expression for induced current.

    $I=\frac{\epsilon }{R}$        (II)

Here, $I$ is the induced current, and $R$ is the resistance.

Use equation (I) in (II).

    $I=-\frac{N}{R}\frac{d\Phi }{dt}$        (III)

Equation (I) and (III) shows that, the induced emf and therefore induced current are proportional to number of turns.

Conclusion:

Therefore, the advantage of using coil with many turns in Faraday’s experiment increases the values of the quantities to be experimentally measured.