Figure shows two infinitely large conducting plates A and B. If electric field at C due to charge densities σ 1 , σ 2 , σ 3 and σ 4 is E 
, find σ 2 and σ 3 in terms of E. State whether this much information is sufficient to find σ 1 and σ 4 in terms of E. Derive a relation between σ 1 and σ 4 .
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
σ 1 = σ 4 , σ 2 = ε 0 E, σ 3 = – ε 0 E
Sol. By considering Gaussian surface as shown in figure, and applying Gauss law
We have
EA = 
∴ E = 
∴ σ 2 = ε 0 E
Also, σ 3 = – σ 2 = – ε 0 E.
We can not find σ 1 and σ 4 .
E at P = 0
P at E = 0
⇒ σ 1 = σ 4
σ 1 = σ 4
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