A battery is connected to an uncharged capacitor
Asked by admin @ in Physics viewed by 307 People
An uncharged capacitor is connected to a battery.Show that half the energy supplied by battery is lost as heat while charging the conductor
Asked by admin @ in Physics viewed by 307 People
An uncharged capacitor is connected to a battery.Show that half the energy supplied by battery is lost as heat while charging the conductor
Answered by admin @
We have, battery of potential 'V' connected in circuit with capacitor of capacitance 'C'.
Initially, capacitor is uncharged.
So, when 'dq' charge passes the capacitor .
Energy supplied by the battery , dE = Vdq. (V is constant of battery )
Energy stored in capacitor, v is potential across the capacitor .
2) Now, when capacitor is charged up-to 'Q'.
Then, energy supplied by the battery
3) Energy stored in the capacitor ,
This is also, written as (Q= CV) :
4) By using conservation of energy,
E = U + lost
=> lost = E - U = 1/2CV^2 .
Hence,
We can say half the energy supplied by the battery is lost as heat or in other forms.
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