2. An uncharged 30.0-uF capacitor is connected in series with a 25.0-0 resistor, a DC battery, and an open switch. The battery has an internal resistance of 10.0 and the open-circuit voltage across its terminals is 50.0 V. The leads have no appreciable resistance. At time t-0, the switch is suddenly closed. What is the maximum current through the 25.0-Q resistor and when does it occur (immediately after closing the switch or after the switch has been closed for a long time)? What is the maximum charge that the capacitor receives? When the current in the circuit is 0.850 A, how much charge is orthe plates of the capacitor? 250 ww 100 50V 30AF

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Please help with number 2. Thanks 

**Circuit Analysis Problem**

An uncharged 30.0-μF capacitor is connected in series with a 25.0-Ω resistor, a DC battery, and an open switch. The battery has an internal resistance of 10.0 Ω and the open-circuit voltage across its terminals is 50.0 V. The leads have no appreciable resistance. At time t = 0, the switch is suddenly closed.

**Questions:**
a. What is the maximum current through the 25.0-Ω resistor and when does it occur (immediately after closing the switch or after the switch has been closed for a long time)?

b. What is the maximum charge that the capacitor receives?

c. When the current in the circuit is 0.850 A, how much charge is on the plates of the capacitor?

**Circuit Diagram Explanation:**

The diagram illustrates:
- A DC voltage source labeled as 50V with an internal resistance of 10Ω.
- A series connection branching out to a 25Ω resistor.
- An open switch, depicted as a gap in the circuit path which closes to complete the circuit.
- A 30μF capacitor positioned in series with the above components.

**Note:**
Detailed calculations and further theoretical explanations based on these questions would be necessary to assist students in understanding the concepts of time constant, charging behavior of capacitors, and transient analysis of the circuit.
Transcribed Image Text:**Circuit Analysis Problem** An uncharged 30.0-μF capacitor is connected in series with a 25.0-Ω resistor, a DC battery, and an open switch. The battery has an internal resistance of 10.0 Ω and the open-circuit voltage across its terminals is 50.0 V. The leads have no appreciable resistance. At time t = 0, the switch is suddenly closed. **Questions:** a. What is the maximum current through the 25.0-Ω resistor and when does it occur (immediately after closing the switch or after the switch has been closed for a long time)? b. What is the maximum charge that the capacitor receives? c. When the current in the circuit is 0.850 A, how much charge is on the plates of the capacitor? **Circuit Diagram Explanation:** The diagram illustrates: - A DC voltage source labeled as 50V with an internal resistance of 10Ω. - A series connection branching out to a 25Ω resistor. - An open switch, depicted as a gap in the circuit path which closes to complete the circuit. - A 30μF capacitor positioned in series with the above components. **Note:** Detailed calculations and further theoretical explanations based on these questions would be necessary to assist students in understanding the concepts of time constant, charging behavior of capacitors, and transient analysis of the circuit.
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