Physics 9702 · AS & A Level · Force on a moving charge

Force on a moving charge — practice question

(a)[2]

Define magnetic flux density.

(b)

Electrons travel in a vacuum at speed $1.7 \times 10^7\,\text{m s}^{-1}$. The electrons enter a uniform magnetic field of flux density $4.8\,\text{mT}$. Fig. 6.1 shows the electrons’ path. The electrons’ path stays in the plane of the page.

(b(i))[1]

State the direction of the magnetic field.

(b(ii))[2]

Show that the magnitude of the force exerted on each electron by the magnetic field is $1.3 \times 10^{-14}\,\text{N}$.

(b(iii))[1]

On Fig. 6.1, draw an arrow to show the direction of the centripetal acceleration of the electron as it enters the magnetic field at point X.

(b(iv))[3]

Use the information in (b)(ii) to calculate the distance $d$ between the path of the electrons entering the magnetic field and the path of the electrons leaving it.

(c)[3]

The electrons in (b) are replaced by positrons moving at speed $3.4 \times 10^7\,\text{m s}^{-1}$ along the same initial path as the electrons. The positrons enter the magnetic field at point X on Fig. 6.1. On Fig. 6.1, draw a line to show the path followed by the positrons through the magnetic field.

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