Q. 765.0( 1 Vote )
A capacitance C c
Energy dissipated by a resistor :
A resistor of resistance R with current I through it, dissipates energy U given by:
in time Δt.
Its power is given by:
Current when capacitor is discharging:
A capacitor of capacitance C is being charged through a resistance R , the current through the circuit is given by:
Where I0 is the initial current.
Energy stored by capacitor:
For a capacitor of capacitance C , with charge Q, and potential difference V across it, the energy stored is given by:
Discharging a capacitor:
A capacitor of capacitance C is connected in series with a resistor of resistance R and a switch. Before the switch is closed, it has charge Qi . If the switch is closed at t = 0, then at any time t, the charge on the capacitor is given by:
The initial energy of the capacitor,
As the capacitor is discharged, it looses Charge ,and the potential difference across it also decreases.
Now, at t= τ,
The energy lost is dedicated as heat and is equal to:
Now let us find the energy dissipated by another method:
Note that and
Both ways give us the same result!
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