A stream of charged particles enters a region | vedclass

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Question

(A) The Lorentz force on a charged particle moving with velocity $\vec{v}$ in the presence of an electric field $\vec{E}$ and a magnetic field $\vec{B

Vedclass · Accepted Answer

no particle can get through the hole

Vedclass · Answer

(A) The Lorentz force on a charged particle moving with velocity $\vec{v}$ in the presence of an electric field $\vec{E}$ and a magnetic field $\vec{B}$ is given by $\vec{F} = q(\vec{E} + \vec{v} 	imes \vec{B})$.In the given figure,the electric field $\vec{E}$ is directed upwards. For a positively charged particle,the electric force $\vec{F}_e = q\vec{E}$ acts in the upward direction.Using Fleming's left-hand rule,the magnetic force $\vec{F}_m = q(\vec{v} 	imes \vec{B})$ also acts in the upward direction because the velocity $\vec{v}$ is horizontal and the magnetic field $\vec{B}$ is directed into the plane (or at an angle such that the cross product results in an upward force component).Since both the electric force and the magnetic force act in the same upward direction,the net force on the particle is non-zero and directed upwards.Therefore,the charged particles will be deflected from their original path and will not pass through the hole located on the original path.Thus,option $(a)$ is correct.

$A$ stream of charged particles enters a region with crossed electric and magnetic fields as shown in the figure below. On the other side is a screen with a hole that is right on the original path of the particles. Then,

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