2022 A/L Physics Past Paper · Question 04 (English Medium)

What a stationary magnetic field does not act on

A stationary magnetic field does not interact with any

  1. (1) stationary electric charges.
  2. (2) moving electric charges.
  3. (3) current carrying wires.
  4. (4) stationary permanent magnets.
  5. (5) moving permanent magnets.
Answer and explanation

Answer: (1) stationary electric charges.

What the question asks

Find what a stationary magnetic field does not act on.

What each letter means:

BB (T\text{T}): the magnetic flux density.

qq (C\text{C}): the electric charge.

vv (m s−1\text{m s}^{-1}): the speed of the charge.

θ\theta (∘^\circ): the angle between the speed and the field.

FF (N\text{N}): the force on the charge.

Relevant theory

No force acts on an electric charge which is at rest in a magnetic field. However if the charge is moving it is equivalent to an electric current and hence a force would act on it.

According to modern concepts, the forces which act in magnetic fields are a result of the interaction between two magnetic fields which intersect with each other.

When the current starts flowing through the conductor AB a magnetic field is created around it.

Reading the options

For example, think of a charged balloon and a fridge magnet.

Hold the balloon still near the magnet. Its charge qq is not moving, so vv is zero. Nothing pulls or pushes it.

Now swing the balloon quickly through the field of the magnet. Its charge qq is moving now, so vv is not zero. The field pushes on it sideways.

F=Bqvsin⁡θF = Bqv\sin\theta

In words: the force=the fieldthe\,force = the\,field ×\times the charge ×\times the speed ×\times the sine of the angle.

If v=0v = 0, then F=0F = 0. A stationary charge feels no force from a magnetic field.

The book says the same thing in words.

No force acts on a charge that is at rest in a magnetic field.

A force acts only when the charge is moving.

A wire carrying a current and a magnet each have a magnetic field of their own.

Two magnetic fields act on each other, so a force acts between them.

Only the stationary charge feels nothing.

Why the other options fail

A moving charge is like a current, so a force acts on it.

A wire with a current has its own magnetic field. The two fields act on each other.

A magnet has its own magnetic field. Two magnetic fields act on each other.

A magnet has its own magnetic field, moving or not. Two magnetic fields act on each other.

Conclusion

No force acts on an electric charge that is at rest in a magnetic field.

The answer is (1).

A magnetic field pushes only on things that are moving charges or that have a magnetic field of their own.

A still charge has neither.

Exam tip

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