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Capacitors

A large condu...

Question

A large conducting plate X having charge + Q distributed uniformly over area A is placed parallel near a large conducting uncharged plate Y of same area. Find the electric field at a point situated : (a) left to both the plates (b) between the plates (c) right to both the plates

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Solution

Dear Student,

$(a) t h e c h a r g e w i l l d i s t r i b u t e o n t h e c h a r g e d p l a t e o n b o t h t h e s i d e e q u a l l y Q / 2 . c h a r g e d e n s i t y σ = \frac{Q}{2 A} f i e l d o n l e f t E = \frac{σ}{ε_{0}} = \frac{Q}{2 A ε_{0}} (b) b e t w e e n t h e p l a t e s t h e p l a t e y h a s a i n d u c e c h a r g e o g - Q / 2 o n t h e s i d e o f x a n d + Q / 2 o n t h e s i d e o p p o s i t e t o X E = \frac{Q}{2 A ε_{0}} + \frac{Q}{2 A ε_{0}} = \frac{Q}{A ε_{0}} (c) o n t h e r i g h t E = \frac{Q}{2 A ε_{0}} R e g a r d s$

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