A proton moving with velocity $V$ is acted upon by electric field $E$ and magnetic field $B$ . The proton will move undeflected if

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Solution

If force of electric field and force of magnetic field is equal and opposite to each other

$| \to F_{e} | = | - \to F_{m} |$ . Then proton move undeflected.

${\to F}_{m} = {\to F}_{e}$

$B q v sin θ = q E$

$w h e n, θ = 90^{o}, v = \frac{E}{B}$

Hence, electric field and force of magnetic field is equal.

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