1. Sequential Switching
RC circuit
RL circuits

2. Whenever switching occurs more than once in a circuit (RC or RL)
Sequential switching ?
Whenever switching occurs more than once in a circuit (RC or RL)
Example –
non-sequential switching
Example –
Sequential switching
Switch at position 1 for a long time and switched to 2 at t = 0
Switch at position 1 for a long time, switched to position 2 at t = t2 and switch to position 3 at t=t3

3. Whenever switching occurs more than once in a circuit (RC or RL)
Sequential switching ?
Whenever switching occurs more than once in a circuit (RC or RL)
Example –
non-sequential switching
Example –
Sequential switching
Switch at position 1 for a long time and switched to 2 at t = 0
S1 has been opened and S2 has been closed for a long time. S1 closed at t = 0 and S2 opened at t = 0.5s

4. Sequential switching example
Initially no energy in capacitor
Switch at position 1 for a long time, switched to position 2 at t = t2 and switched to position 3 at t = t3
For t < t2 since C initially has no energy then vc= 0

5. Sequential switching example
Initially no energy in capacitor
Switch at position 1 for a long time, switched to position 2 at t = t2 and switched to position 3 at t = t3
For t > t2 , vc will increase to the final value of Vs. I

6. Sequential switching example
Initially no energy in capacitor
Switch at position 1 for a long time, switched to position 2 at t = t2 and switched to position 3 at t = t3
If switch is moved to 3 before the final value is reached, for t > t3, vc starts to decay

7. Sequential switching example
Three segments of equations is used to describe vc
(i) For t < t2 vc = 0
(ii) For t2 < t < t3 vc = Vs (1– e-t/t2)
(iii) For t > t3 vc = Vo3 e-t/t3 where Vo3 = Vs (1– e-t3/t2)