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Chapter 6: Q27P (page 277)

An electron traveling through a curving wire in an electric circuit experiences a constant force of 5×10-19N, always in the direction of its motion through the wire. How much work is done on the electron by this force as it travels through 0.5 m of the wire?

Short Answer

Expert verified

The work done on the electron is2.5×10-19J

Step by step solution

01

Identification of given Data

The given data is listed below as,

  • The force experience by the electron is,F=5×10-19N
  • Distance moved by the electron is, x=0.5m
02

Definition of the work done

The work done as a result of the force is given by the following expression,

W=F.⇀x⇀=F.xcosθ....(1)

Here, F is the external force and x is displacement and θis the angle between force and distance moved.

03

Step 2: Determination of the work done on the electron

The angle between force and distance moved is .

Substitute all the values in equation (1).

W=5×10-19N0.5mcos180°=-5×10-19N0.5m=-2.5×10-19N.m×1N.m1J=-2.5×10-19J

The work is negative this indicates that the force is applied in the opposite direction of the displacement.

Thus, the work done on the electron is 2.5×10-19J.

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