Two infinite parallel planes carry equal but opposite uniform charge densities ±σ (Fig. 2.23). Find the field in each of the three regions: (i)to the left of both, (ii) between them, (iii) to the right of both.

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Accepted Answer

The left plate produces a field [latex](1/2\epsilon _{0})\sigma [/latex], which points away from it (Fig. 2.24)—
to the left in region (i) and to the right in regions (ii) and (iii). The right plate,
being negatively charged, produces a field [latex](1/2\epsilon _{0})\sigma [/latex] , which points toward it—to the right in regions (i) and (ii) and to the left in region (iii). The two fields cancel in regions (i) and (iii); they conspire in region (ii). Conclusion: The field between the plates is [latex]\sigma /\epsilon _{0}[/latex], and points to the right; elsewhere it is zero.

Question 2.6: Two infinite parallel planes carry equal but opposite unifor...

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