215k views
4 votes
after the switch s is closed, what will be the current in the circuit at the instant that the capacitors have lost 80.0% of their initial stored energy?

2 Answers

1 vote

Final answer:

The current in the circuit after the capacitors have lost 80.0% of their initial stored energy can be calculated using the formula: I = (80.0% × initial stored energy) / (2 × time).

Step-by-step explanation:

When the switch is closed, the current in the circuit will depend on the initial stored energy of the capacitors. After the capacitors have lost 80.0% of their initial stored energy, the current in the circuit can be determined using the formula:

I = (80.0% × initial stored energy) / (2 × time)

Where 'I' is the current in the circuit, 'initial stored energy' is the energy stored in the capacitors before they lost 80.0% of their energy, and 'time' is the time it takes for the capacitors to lose 80.0% of their energy.

User Tiago Fernandez
by
8.3k points
3 votes

Final answer:

The current in the circuit at the instant the capacitors have lost 80% of their initial stored energy involves applying concepts of energy conservation and the relationships within an LC circuit.

Step-by-step explanation:

The question revolves around a physics concept pertaining to an LC circuit, specifically the behavior of current and energy storage in capacitors within an electrical circuit after a switch is closed. The loss of capacitor energy and the resulting current in the circuit are interrelated through the properties of the LC circuit. When the capacitors have lost 80% of their initial stored energy, the current can be found by calculating the remaining energy and using the relationship between the energy in a capacitor and the charge or current in the circuit. While the exact current value requires more specification of the circuit parameters (like the resistance, inductance, and initial charge on the capacitor), the principle involves energy conservation and the oscillatory nature of the charge and current in an LC circuit.

User Caughtinflux
by
8.2k points