A particle of charge q and velocity v passes undeflected through a space with non-zero electric fiel

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4.Moving Charges and Magnetism

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A particle of charge $q$ and velocity $v$ passes undeflected through a space with non-zero electric field $E$ and magnetic field $B$. The undeflecting conditions will hold if.

A

signs of both $q$ and $E$ are reversed.

B

signs of both $q$ and $B$ are reversed.

C

both $B$ and $E$ are changed in magnitude, but keeping the product of $|B|$ and $|E|$ fixed.

D

both $B$ and $E$ are doubled in magnitude.

Solution

both $B$ and $E$ are doubled in magnitude

$\overrightarrow{ F _{ e }}=\operatorname{qeB} \hat{n}$

$\overrightarrow{ F _{ e }}= qvB (-\hat{ n })$

Thus it both $E$ and $B$ are doubled the above conditions are not affected.

Standard 12

Physics

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