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In the circuit shown below, steady state was reached when switch s was open. The switch was closed at t= 0.The initial value of the current through the capacitor 2C is.?
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In the circuit shown below, steady state was reached when switch s was...
Understanding the Circuit Behavior
When the switch s is open, the circuit reaches a steady state. At this point, the capacitor 2C is fully charged, and there is no current flowing through it.
Initial Conditions of Capacitor
- At steady state with the switch open, the voltage across the capacitor 2C is constant.
- The current through the capacitor is zero since it acts like an open circuit.
Closing the Switch
- When the switch is closed at t=0, the capacitor will start to discharge or charge depending on the circuit configuration.
- The initial current through the capacitor is determined by the voltage across it just before the switch is closed.
Current Through the Capacitor 2C
- The initial value of the current through the capacitor 2C can be calculated using the relationship:
- I(0) = C * (dV/dt) at t=0.
- However, as the capacitor was at steady state, the derivative of voltage (dV/dt) at that moment is zero.
Conclusion
- Therefore, the initial current through the capacitor 2C at the moment the switch is closed (t=0) is zero.
- In summary, since no change in voltage occurs across the capacitor instantaneously, the initial current remains at zero.
This analysis shows that understanding the capacitor's behavior in a circuit is crucial for predicting current flow when switches are manipulated.
When the switch s is open, the circuit reaches a steady state. At this point, the capacitor 2C is fully charged, and there is no current flowing through it.
Initial Conditions of Capacitor
- At steady state with the switch open, the voltage across the capacitor 2C is constant.
- The current through the capacitor is zero since it acts like an open circuit.
Closing the Switch
- When the switch is closed at t=0, the capacitor will start to discharge or charge depending on the circuit configuration.
- The initial current through the capacitor is determined by the voltage across it just before the switch is closed.
Current Through the Capacitor 2C
- The initial value of the current through the capacitor 2C can be calculated using the relationship:
- I(0) = C * (dV/dt) at t=0.
- However, as the capacitor was at steady state, the derivative of voltage (dV/dt) at that moment is zero.
Conclusion
- Therefore, the initial current through the capacitor 2C at the moment the switch is closed (t=0) is zero.
- In summary, since no change in voltage occurs across the capacitor instantaneously, the initial current remains at zero.
This analysis shows that understanding the capacitor's behavior in a circuit is crucial for predicting current flow when switches are manipulated.
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In the circuit shown below, steady state was reached when switch s was open. The switch was closed at t= 0.The initial value of the current through the capacitor 2C is.?
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In the circuit shown below, steady state was reached when switch s was open. The switch was closed at t= 0.The initial value of the current through the capacitor 2C is.? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about In the circuit shown below, steady state was reached when switch s was open. The switch was closed at t= 0.The initial value of the current through the capacitor 2C is.? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the circuit shown below, steady state was reached when switch s was open. The switch was closed at t= 0.The initial value of the current through the capacitor 2C is.?.
In the circuit shown below, steady state was reached when switch s was open. The switch was closed at t= 0.The initial value of the current through the capacitor 2C is.? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about In the circuit shown below, steady state was reached when switch s was open. The switch was closed at t= 0.The initial value of the current through the capacitor 2C is.? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the circuit shown below, steady state was reached when switch s was open. The switch was closed at t= 0.The initial value of the current through the capacitor 2C is.?.
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