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Chapter 4: Q6DQ (page 911)

If the magnetic force does no work on a charged particle, how can it have any effect on the particle鈥檚 motion? Are there other examples of forces that do not work but have a significant effect on a particle鈥檚 motion?

Short Answer

Expert verified

The magnetic force only changes the direction of the particle鈥檚 velocity and not the magnitude.

Step by step solution

01

Magnetic field on a moving charge

A magnetic force on a moving charge is perpendicular to both the velocity and the magnetic field of the charge. The force is given by the product of the charge and the vector product of velocity and magnetic field.

The magnetic field will be more on a particle with greater charges, and the force will be lower on the particle with lower charge.

02

If motion is affected the work done is zero

Now, the magnetic force only changes the direction of the particle鈥檚 velocity and not its magnitude. Which leaves its kinetic energy unchanged and hence even if the motion is affected the work done is zero. Any force that acts perpendicular to the particle鈥檚 velocity does zero work, which is the case with any centripetal tension in the string of a pendulum

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