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(C) The electric field $\vec{E}$ is along the $+x$ direction. Positive ions experience an electric force $\vec{F}_e = q\vec{E}$ along the $+x$ directi

Vedclass · Accepted Answer

All ions deflect towards $-y$ direction

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(C) The electric field $\vec{E}$ is along the $+x$ direction. Positive ions experience an electric force $\vec{F}_e = q\vec{E}$ along the $+x$ direction,while negative ions experience an electric force along the $-x$ direction.As a result,positive ions acquire a velocity $\vec{v}$ in the $+x$ direction,and negative ions acquire a velocity $\vec{v}$ in the $-x$ direction.The magnetic field $\vec{B}$ is along the $+z$ direction.The magnetic force on a charged particle is given by $\vec{F}_m = q(\vec{v} 	imes \vec{B})$.For positive ions: $\vec{F}_m = (+q)(v\hat{i} 	imes B\hat{k}) = -qvB\hat{j}$,which is in the $-y$ direction.For negative ions: $\vec{F}_m = (-q)(-v\hat{i} 	imes B\hat{k}) = (-q)(-vB(-\hat{j})) = -qvB\hat{j}$,which is also in the $-y$ direction.Thus,both types of ions deflect towards the $-y$ direction.

An ionized gas contains both positive and negative ions. If it is subjected simultaneously to an electric field along the $+x$ direction and a magnetic field along the $+z$ direction,then

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