The electric field of a plane electromagnetic wave is given by E → = E 0 i ^ + j ^ 2 cos ⁡ k z + ω t . At t = 0 , a positively charged particle is at the point x , y , z = 0 , 0 , π k . If its instant

Question

The electric field of a plane electromagnetic wave is given by E → = E 0 i ^ + j ^ 2 cos ⁡ k z + ω t . At t = 0 , a positively charged particle is at the point x , y , z = 0 , 0 , π k . If its instantaneous velocity at t = 0 is v 0 k ^ , the force acting on it due to the wave is:

TestHub · Accepted Answer

Force due to electric field is in direction $- \frac{(\hat{i} + \hat{j})}{\sqrt{2}} E_{0}$
Force due to magnetic filed is in direction $q (\vec{v} \times \vec{B})$ and $\vec{v} | | \hat{k}$
$∴$ it is parallel to $\vec{E}$
$∴$ net force is antiparallel to $\frac{(\hat{i} + \hat{j})}{\sqrt{2}}$ .

Physics - EM Waves Question with Solution | TestHub

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