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IMSc-IV Physics-IV : Electricity and Magnetism Jan-Apr 2008 MM : 20
| QUIZ-I B; ANSWERS |
Two planes parallel to $X$-$Z$ and two planes parallel to $Y$-$Z$ carry uniform charge densities as shown in the figure below. Find the electric field, write components in the table given below, in the nine regions I-IX listed below.
| Region | $X$ and $Y$ Components of the Electric field |
| I | $E_x= ~\dfrac{\sigma}{2\epsilon_0}\qquad E_y=~\dfrac{3\sigma}{2\epsilon_0}$ |
| II | $E_x= -\dfrac{3\sigma}{2\epsilon_0}\qquad E_y=~\dfrac{3\sigma}{2\epsilon_0}$ |
| III | $E_x= -\dfrac{\sigma}{2\epsilon_0}\qquad E_y=~\dfrac{3\sigma}{2\epsilon_0}$ |
| IV | $E_x=~\dfrac{\sigma}{2\epsilon_0}\qquad E_y=~\dfrac{\sigma}{2\epsilon_0}$ |
| V | $E_x = -\dfrac{3\sigma}{2\epsilon_0}\qquad E_y=~\dfrac{\sigma}{2\epsilon_0}$ |
| VI | $E_x= -\dfrac{\sigma}{2\epsilon_0}\qquad E_y=~\dfrac{\sigma}{2\epsilon_0}$ |
| VII | $E_x=~\dfrac{\sigma}{2\epsilon_0}\qquad E_y=-\dfrac{3\sigma}{2\epsilon_0}$ |
| VIII | $E_x=-\dfrac{3\sigma}{2\epsilon_0}\qquad E_y=-\dfrac{3\sigma}{2\epsilon_0}$ |
| IX | $E_x= -\dfrac{\sigma}{2\epsilon_0}\qquad E_y=-\dfrac{3\sigma}{2\epsilon_0}$ |
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