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In the circuit shown below, switch S1 and S2 are in open and close position respectively for long time. At t = t0, switch S1 is closed and switch S2 is opened. What would be the current through R1 immediately after the transition of switches?
  • a)
    0 mA
  • b)
    1 mA
  • c)
    0.5 mA
  • d)
    2 mA
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In the circuit shown below, switch S1 and S2 are in open and close pos...
Concept:
A capacitor doesn’t allow a sudden change in voltage, i.e. Vc(0+) = Vc(0-).
Similarly, an inductor doesn’t allow a sudden change in current, i.e. iL(0+) = iL(0-)
Calculation:
The circuit for t = t0- is as shown,
Vc(t0-) = 5V as shown above,
At t = t0+, the circuit will be as shown, in which the capacitor will be at 5V (∵ Vc(0+) = Vc(0-))
To find the voltage at node ‘x’, we apply KCL to get,
Now the required current through R1 = 5KΩ, immediately after the transition of switches is
 
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Most Upvoted Answer
In the circuit shown below, switch S1 and S2 are in open and close pos...
Concept:
A capacitor doesn’t allow a sudden change in voltage, i.e. Vc(0+) = Vc(0-).
Similarly, an inductor doesn’t allow a sudden change in current, i.e. iL(0+) = iL(0-)
Calculation:
The circuit for t = t0- is as shown,
Vc(t0-) = 5V as shown above,
At t = t0+, the circuit will be as shown, in which the capacitor will be at 5V (∵ Vc(0+) = Vc(0-))
To find the voltage at node ‘x’, we apply KCL to get,
Now the required current through R1 = 5KΩ, immediately after the transition of switches is
 
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