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Answer:
A charged Capacitor is a store of electrical potential energy.
To find the energy stored in a capacitor, let us consider a capacitor of capacitance C, with a potential difference V between the plates.
There is a charge +q on one plate and –q on the other.
Suppose the capacitor is charged gradually. At any stage ,the charge on the capacitor is q.
Potential of capacitor =q/C.
Small amount of work done in giving an additional charge dq to the capacitor is
dW=q/C *dq
total work done in giving a charge Q to the capacitor is q.
Q=Q
W=1/C Q2/2
Energy stored in the capacitor
U=W=1/2 Q2/C
Put Q=CV
U=1/2 (CV)2/C =1/2 CV2
Put CV=Q
CV=QU=1/2 QV
CV=QU=1/2 QVThus, U=1/2 Q2/C =1/2 CV2=1/2 QV
U=1/2 Q2/C =1/2 CV2=1/2 QVWhen Q is in coulomb,V is in Volt ,C is in fared. Energy U is in joule.
Energy stored in a capacitor is in the form of electric field energy in the charged capacitor and it resides in the dielectric medium between the plates.
A charged Capacitor is a store of electrical potential energy.
There is a charge +q on one plate and –q on the other.
There is a charge +q on one plate and –q on the other.Suppose the capacitor is charged gradually. At any stage ,the charge on the capacitor is q.
There is a charge +q on one plate and –q on the other.Suppose the capacitor is charged gradually. At any stage ,the charge on the capacitor is q.Potential of capacitor =q/C.
There is a charge +q on one plate and –q on the other.Suppose the capacitor is charged gradually. At any stage ,the charge on the capacitor is q.Potential of capacitor =q/C.Small amount of work done in giving an additional charge dq to the capacitor is
There is a charge +q on one plate and –q on the other.Suppose the capacitor is charged gradually. At any stage ,the charge on the capacitor is q.Potential of capacitor =q/C.Small amount of work done in giving an additional charge dq to the capacitor isdW=q/C *dq
There is a charge +q on one plate and –q on the other.Suppose the capacitor is charged gradually. At any stage ,the charge on the capacitor is q.Potential of capacitor =q/C.Small amount of work done in giving an additional charge dq to the capacitor isdW=q/C *dqtotal work done in giving a charge Q to the capacitor is q.
There is a charge +q on one plate and –q on the other.Suppose the capacitor is charged gradually. At any stage ,the charge on the capacitor is q.Potential of capacitor =q/C.Small amount of work done in giving an additional charge dq to the capacitor isdW=q/C *dqtotal work done in giving a charge Q to the capacitor is q.Q=Q
There is a charge +q on one plate and –q on the other.Suppose the capacitor is charged gradually. At any stage ,the charge on the capacitor is q.Potential of capacitor =q/C.Small amount of work done in giving an additional charge dq to the capacitor isdW=q/C *dqtotal work done in giving a charge Q to the capacitor is q.Q=QW=1/C Q2/2
There is a charge +q on one plate and –q on the other.Suppose the capacitor is charged gradually. At any stage ,the charge on the capacitor is q.Potential of capacitor =q/C.Small amount of work done in giving an additional charge dq to the capacitor isdW=q/C *dqtotal work done in giving a charge Q to the capacitor is q.Q=QW=1/C Q2/2Energy stored in the capacitor
There is a charge +q on one plate and –q on the other.Suppose the capacitor is charged gradually. At any stage ,the charge on the capacitor is q.Potential of capacitor =q/C.Small amount of work done in giving an additional charge dq to the capacitor isdW=q/C *dqtotal work done in giving a charge Q to the capacitor is q.Q=QW=1/C Q2/2Energy stored in the capacitorU=W=1/2 Q2/C
There is a charge +q on one plate and –q on the other.Suppose the capacitor is charged gradually. At any stage ,the charge on the capacitor is q.Potential of capacitor =q/C.Small amount of work done in giving an additional charge dq to the capacitor isdW=q/C *dqtotal work done in giving a charge Q to the capacitor is q.Q=QW=1/C Q2/2Energy stored in the capacitorU=W=1/2 Q2/CPut Q=CV
There is a charge +q on one plate and –q on the other.Suppose the capacitor is charged gradually. At any stage ,the charge on the capacitor is q.Potential of capacitor =q/C.Small amount of work done in giving an additional charge dq to the capacitor isdW=q/C *dqtotal work done in giving a charge Q to the capacitor is q.Q=QW=1/C Q2/2Energy stored in the capacitorU=W=1/2 Q2/CPut Q=CVU=1/2 (CV)2/C =1/2 CV2
I hope this helps you....