All the capacitors shown are completely charged. When the switch is closed (assume at t = 0 s), at what time has the current in the 8 Ω resistor decayed to half its original value?

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All the capacitors shown are completely charged.
When the switch is closed (assume at t = 0 s), at what
time has the current in the 8 Ω resistor decayed to half
its original value? 

The image represents an electrical circuit diagram with several components:

1. **Capacitors:**
   - Two capacitors are connected in parallel at the left side of the circuit. Each capacitor has a capacitance of 60 µF (microfarads).
   - Another capacitor with a capacitance of 20 µF is connected in series after the parallel combination.

2. **Resistors:**
   - An 8 Ω (ohms) resistor is placed next to a switch, which can open or close the circuit to allow or prevent current flow.
   - A 30 Ω resistor is connected in series with the circuit, after the 20 µF capacitor.
   - A 20 Ω resistor is connected in parallel with the 30 Ω resistor.

3. **Switch:**
   - There is a switch in the circuit that can break or complete the circuit path.

The overall configuration involves elements connected in both series and parallel arrangements, demonstrating combined capacitive and resistive components in an electric circuit.
Transcribed Image Text:The image represents an electrical circuit diagram with several components: 1. **Capacitors:** - Two capacitors are connected in parallel at the left side of the circuit. Each capacitor has a capacitance of 60 µF (microfarads). - Another capacitor with a capacitance of 20 µF is connected in series after the parallel combination. 2. **Resistors:** - An 8 Ω (ohms) resistor is placed next to a switch, which can open or close the circuit to allow or prevent current flow. - A 30 Ω resistor is connected in series with the circuit, after the 20 µF capacitor. - A 20 Ω resistor is connected in parallel with the 30 Ω resistor. 3. **Switch:** - There is a switch in the circuit that can break or complete the circuit path. The overall configuration involves elements connected in both series and parallel arrangements, demonstrating combined capacitive and resistive components in an electric circuit.
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