Why is the RC circuit homework statement giving different results than expected?

In summary, the conversation is about a circuit with a capacitor and a resistor, where at t=0 the capacitor behaves as a wire and shorts the resistor. The question asks for the potential across capacitor B at t=0, and the answer in the book is given as 7 amps, while the conversation suggests it should be 6 amps.
  • #1
cupid.callin
1,132
1

Homework Statement


attachment.php?attachmentid=33576&stc=1&d=1301168110.jpg


The Attempt at a Solution



As at t=0 the capacitor behaves as a wire ... so the circuit at t=0 will be like:

attachment.php?attachmentid=33577&stc=1&d=1301168676.png


q at any time for this circuit will be,

[tex]q \ = \ CE(1-e^{-t/\tau}) + Q_oe^{-t/\tau}[/tex]

differentiating it will give current,

[tex]i \ = \ \frac{Ee^{-t/\tau}}{R} \ - \ \frac{Q_oe^{-t/\tau}}{\tau}[/tex]

putting values give 6

but answer is 7
 

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  • #2
Is the 1Ω shorting wire temporary? -- that is to say: is it removed before the switch is closed?
 
  • #3
No ... but the question asks use for t=0 ... i.e. when capacitor behaves as a wire ... so it will short circuit the resistor ... :)
 
  • #4
SOme help please ??
 
  • #5
Yup, at t=0, capacitor A has zero potential across it.

At time t=0, what's the potential across capacitor B ?
 
  • #6
Sorry for the delay. The problem is written in an unfamiliar way (at least for me).

I also came up with 6 amps @ t=0.
 
  • #7
so that means that the answer in book is wrong?
 
  • #8
I think it must be wrong.
 

Related to Why is the RC circuit homework statement giving different results than expected?

1. What is a RC circuit?

A RC circuit, also known as a resistor-capacitor circuit, is an electrical circuit that consists of a resistor and a capacitor connected in series or parallel. The capacitor stores electrical energy while the resistor controls the flow of current.

2. How does a RC circuit work?

In a RC circuit, the capacitor charges up to the source voltage through the resistor. As the capacitor charges, the current decreases until it reaches zero. Then, the capacitor discharges through the resistor until it reaches zero voltage again. This cycle repeats as long as the circuit is connected to a power source.

3. What is the time constant of a RC circuit?

The time constant of a RC circuit is the amount of time it takes for the capacitor to charge up to 63.2% of the source voltage or discharge down to 36.8% of the initial voltage. It is calculated by multiplying the resistance (R) and capacitance (C) values of the circuit, t = RC.

4. What is the relationship between current and voltage in a RC circuit?

In a RC circuit, the current and voltage are inversely proportional. As the voltage across the capacitor increases, the current decreases and vice versa. Once the capacitor is fully charged, the current becomes zero and the voltage across the capacitor remains constant.

5. What are the applications of RC circuits?

RC circuits are commonly used in electronic filters, such as low-pass and high-pass filters, to block certain frequencies of electrical signals. They are also used in timing circuits, oscillators, and power supplies. Additionally, RC circuits are important in modeling the behavior of biological systems and neural networks.

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