Sequential Switching RC circuit RL circuits.

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Presentation transcript:

Sequential Switching RC circuit RL circuits

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

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

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

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

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

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)