1.

(b) Obtain the expression for the capacitance of a parallel plate capacitor.

Answer»

Solution :Each PLATE of the capacitor has area A and the plates are separated by distance d. If V is potential DIFFERENCE between two plates, then V=Ed
If `sigma` is surface charge DENSITY then `E=(sigma)/(epsi_(0))`
`impliesV=(sigma)/(E_(0))d`
Now, `s=q//\AimpliesV=(sigma)/(E_(0)A)d`

If C is capacitance then `C=(q)/(V)=((q)/(QD))/(in_(0)A)impliesC=(in_(0)A)/(d)`.


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