Two parallel beams of protons and electrons, carrying equal currents are fixed at a separation d . p

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4.Moving Charges and Magnetism

hard

Two parallel beams of protons and electrons, carrying equal currents are fixed at a separation $d$. The protons and electrons move in opposite directions. $P$ is a point on a line joining the beams, at a distance $x$ from any one beam. The magnetic field at $P$ is $B$. If $B$ is plotted against $x$, which of the following best represents the resulting curve

A

B

C

D

Solution

(c) The magnetic field at points to the right of the proton beam acts perpendicular to the paper inwards ($\otimes$). The magnetic field at points to the left of the electron beam acts perpendicular to the paper outwards ʘ.
Magnetic field at mid point $M$ is zero.
Magnetic field at the points closer to proton beam acts perpendicular to the paper inwards (i.e. ($\otimes$)) and at the points closer to electron beam it acts outwards i.e. ʘ. In the given options graph $(c)$ satisfies all the conditions.

Standard 12

Physics

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