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Question

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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Solution

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=QC=Q1+Q2C1+C2=C1V1+C2V2C1+C2
V1C1+C2
Electric field distance curve by uniformly charged non- conducting sphere.
E outside (r>r0)
E=KQr2
E inside (r<r0)
E=KQ.rr30
1205205_1525822_ans_b32abe0fcdf24dd996ba883eeda576f3.png

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