What does mean by energy stored in capacitor? Prove that- "The ratio of change in potentials of conductors after connecting two charged conductors is inversely proportional to their capacitances". Draw a curve between electric field and distance for an uniformly for an uniformly charged non-conducting sphere.
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Energy stored in a capacitor : A capacitor is a device to store energy. The process of charging up a capacitor involves the transferring of electric charges from its one plate to another.The work done in charging the capacitor is stored as its electrical potential energy. Consider two insulated conductor A and B of capacitance C1,C2 and carrying charges Q1 and Q2. Let V1 and V2 be their respective potentials. Q1=C1V2 and Q2=C2V2 If connect with wire charge flow higher to lower potential Total charge on system Q1+Q2 Total capacitance C1+C2 V=CQ=C1+C2Q1+Q2=C1+C2C1V1+C2V2 V∝C1+C21 Electric field distance curve by uniformly charged non- conducting sphere. E outside (r>r0) E=r2KQ E inside (r<r0) E=r03KQ.r
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