Figure shown two infinitely large conducting plates A and B. If electric field at C due to charge densities `sigma_(1), sigma_(2), sigma_(3)` and `sigma_(40` is `E hat(i)`, find `sigma_(2)` and `sigma_(3)` in terms of E. State whether this much information is sufficient to find `sigma_(1)` and `sigma_(4)` in terms of E. Derive a relation between `sigma_(1)` and `sigma_(4)`.

Answer

`sigma_(1)=sigma_(4), sigma_(2)=in_(0) E, sigma_(3)=-in_(0)E`