Discharging of capacitor with another capacitor at time t

In summary, discharging of a capacitor involves releasing stored electrical energy by connecting it to a circuit. When discharging with another capacitor, the energy is shared and the voltage and charge on each capacitor decreases. This allows for controlled release of energy. Factors such as capacitance, resistance, and initial voltage and charge influence the discharging process. Improper control can lead to damage to the capacitors or circuit, so careful consideration is necessary.
  • #1
cupid.callin
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1
1. The problem statement and my attempt
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Its not the correct answer.
answer is: Q/2(1 - e-2t/RC)
 

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  • #2
Use conservation of charge; there's nowhere for it to escape to!
 
  • #3
The sum of the voltages across R and C2 is equal to the voltage of the first capacitor. Q1/C1 =I*R +Q2/C2. As the charge is conserved, Q1+Q2=Qo=const, and I=dQ2/dt=-dQ1/dt, so you have the differential equation (Qo-Q2)C1+Q2/C2+RdQ2/dt=0 with the initial condition Q2(0)=0.

ehild
 

What is discharging of a capacitor?

Discharging of a capacitor refers to the process of releasing the stored electrical energy in a capacitor by connecting it to a circuit that allows the flow of current.

How does discharging of a capacitor with another capacitor at time t work?

When two capacitors are connected in parallel, their stored electrical energy is shared between them. This results in a decrease in the total voltage and charge on each capacitor, causing them to discharge.

What is the significance of discharging a capacitor with another capacitor at time t?

This process can be used to control the rate at which a capacitor discharges, allowing for more precise and controlled release of electrical energy.

What factors influence the discharging process?

The discharging process is influenced by the capacitance of the capacitors, the resistance of the circuit, and the initial voltage and charge of the capacitors.

Can discharging a capacitor with another capacitor at time t cause damage to the capacitors or the circuit?

If the discharge process is not properly controlled, it can cause overheating and potentially damage to the capacitors or the circuit. It is important to carefully consider and calculate the necessary parameters before discharging a capacitor with another capacitor.

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