A capacitor of capacitance C = 5.5 μF is initially uncharged. It is connected in series with a switch of negligible resistance, a resistor of resistance R = 12 kΩ, and a battery which provides a potential difference of VB = 45 V. 1. Calculate the time constant τ for the circuit in seconds.  2. After a very long time after the switch has been closed, what is the voltage drop VC across the capacitor in terms of VB?  3. Calculate the charge Q on the capacitor a very long time after the switch has been closed in C.  4. Calculate the current I a very long time after the switch has been closed in A

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A capacitor of capacitance C = 5.5 μF is initially uncharged. It is connected in series with a switch of negligible resistance, a resistor of resistance R = 12 kΩ, and a battery which provides a potential difference of VB = 45 V.

1. Calculate the time constant τ for the circuit in seconds. 

2. After a very long time after the switch has been closed, what is the voltage drop VC across the capacitor in terms of VB

3. Calculate the charge Q on the capacitor a very long time after the switch has been closed in C. 

4. Calculate the current I a very long time after the switch has been closed in A. 

5. Calculate the time t after which the current through the resistor is one-third of its maximum value in s. 

6. Calculate the charge Q on the capacitor when the current in the resistor equals one third its maximum value in C. 

 

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A capacitor of capacitance C = 5.5 μF is initially uncharged. It is connected in series with a switch of negligible resistance, a resistor of resistance R = 12 kΩ, and a battery which provides a potential difference of VB = 45 V.

1. Calculate the time t after which the current through the resistor is one-third of its maximum value in s. 

2. Calculate the charge Q on the capacitor when the current in the resistor equals one third its maximum value in C. 

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