An infinitely long straight conductor carries a current of $5 ext{ A}$ as shown. An electron is moving with a

Question

An infinitely long straight conductor carries a current of $5	ext{ A}$ as shown. An electron is moving with a speed of $10^5	ext{ m/s}$ parallel to the conductor. The perpendicular distance between the electron and the conductor is $20	ext{ cm}$ at an instant. Calculate the magnitude of the force experienced by the electron at that instant.

Accepted Answer

The magnetic field $B$ at distance $r$ from a long wire is $B = \frac{\mu_0 I}{2\pi r}$. The force on the electron is $F = qvB \sin(	heta)$. Here $q = 1.6 	imes 10^{-19}	ext{ C}$, $v = 10^5	ext{ m/s}$, $I = 5	ext{ A}$, $r = 0.2	ext{ m}$. $B = \frac{4\pi 	imes 10^{-7} 	imes 5}{2\pi 	imes 0.2} = 5 	imes 10^{-6}	ext{ T}$. $F = (1.6 	imes 10^{-19}) 	imes 10^5 	imes (5 	imes 10^{-6}) = 8 	imes 10^{-20}	ext{ N}$.

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