Example
RC circuits at steady state

In the given circuit, the steady state voltage drop across the capacitor C isIn steady state
Formula
Discharging RC circuit
The differential equation of RC circuit is
Formula
Charging of an RC circuit
where is the emf of the cell
Definition
Time constant in an RC circuit
The time constant of an RC circuit is the time required to charge the capacitor, through the resistor, by 63.2 percent of the difference between the initial value and final value or discharge the capacitor to 36.8 percent.
where is the time constant and R and C are the values of resistance and capacitance respectively
where is the time constant and R and C are the values of resistance and capacitance respectively
Formula
General solution of RC circuit for a capacitor
General solution of RC circuit for a capacitor after time t is given by :
where:
Charge on the capacitor after time t
Initial charge on the capacitor
Charge on the capacitor at steady state
Time constant
Note:
The solution remains valid for other parameters of capacitors like voltage, current, etc.
where:
Charge on the capacitor after time t
Initial charge on the capacitor
Charge on the capacitor at steady state
Time constant
Note:
The solution remains valid for other parameters of capacitors like voltage, current, etc.
Definition
General solution of RC circuit for a resistor
General solution of RC circuit for a resistor after time t is given by :
where:
Current in the resistor after time t
Initial current in the resistor
Current in the resistor at steady state
Time constant
Note:
The solution remains valid for other parameters of resistors like voltage.
where:
Current in the resistor after time t
Initial current in the resistor
Current in the resistor at steady state
Time constant
Note:
The solution remains valid for other parameters of resistors like voltage.
Formula
Charge on a capacitor in a charging RC circuit
Charge on a capacitor in a charging circuit is given by the following equation.
where is the initial charge of the capacitor and is the charge at a time .
where is the initial charge of the capacitor and is the charge at a time .
Formula
Voltage in a charging/discharging RC circuit
Charging
Discharging
where is the time constant.
Discharging
where is the time constant.
Formula
Current in a charging/discharging RC circuit
Charging:
Discharging
where is the initial voltage.
Discharging
where is the initial voltage.
![]() |
BookMarks |
Page 12 Page 13 Page 14 Page 15 Page 16
0 Comments
Post a Comment