Saved Bookmarks
| 1. |
A parallel plate capacitor of capacitance C is charged to a potential V by a battery . Without disconnecting the battery , the distance between the plates is tripled and a dielectric medium of dielectric constant 10 is introduced between the plates of the capacitor . Explain giving reasons , how will the following be affected : capacitance of the capacitor |
|
Answer» Solution :Initially capacitance of given parallel capacitor, `C = (in_(0) A)/(d)` and it has been charged to a potential DIFFERENCE V . Hence charge on capacitor Q = CV and electric field between the plates of capacitor E `= (V)/(d)` and so the energy density `u = 1/2 in_(0) E^2` As per question the new distance between the plate `d. = 3d` and a dielectric medium of dielectric constant K = 10 is INTRODUCED between the plates of capacitor . Moreover , as battery REMAINS connected , the potential difference V remains unchanged . `therefore ` New capacitance `C. = (k in_(0) A)/(d.) = (10 xx in_(0) A)/(3d) = (10)/(3) C` |
|