Question

Is an emf induced in the coil in Figure 23.54 when it is stretched? If so, state why and give the direction of the induced current.

Short answer

The current will flow in an anticlockwise direction.

Step-by-step solution

Definition of induced current

The induced current is the current that is induced in a conducting loop that is exposed to a changing magnetic field.

Explanation

The right-hand rule is a well-known mnemonic in mathematics and physics for remembering the orientation of axes in three-dimensional space. A cross product of two vectors can be quickly determined using this method as well.

The surface area of the coil is reduced when the coil is stretched as shown in the figure. This reduces the amount of flux through the surface, resulting in induced emf through the coil.

A decreasing surface area indicates that the magnetic field in the direction of the paper's exit is losing coupling with the surface. As a result, the current will be such that it produces a magnetic field in the direction of the paper's exit. As a result, the current will flow in an anticlockwise direction.