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Consider the RC circuit in the figure below. The switch was at position a for a long period of time and is switched to position b at time t = 0. a) Suppose R=493Ω, C=4.4μF, and Vb=4.6 V. What will be the voltage drop across the resistor at t=1.7 ms? b) How much energy in total will eventually be dissipated by the resistor? c) Now suppose that the switch has been at position b for a long time and is switched to position a at t = 0 s. What will be the voltage drop across the capacitor after 1.7 ms?

Consider the RC circuit in the figure below. The switch was at position a for a long period of time and is switched to position b at time t = 0. a) Suppose R=493Ω, C=4.4μF, and Vb=4.6 V. What will be the voltage drop across the resistor at t=1.7 ms? b) How much energy in total will eventually be dissipated by the resistor? c) Now suppose that the switch has been at position b for a long time and is switched to position a at t = 0 s. What will be the voltage drop across the capacitor after 1.7 ms?

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Consider the RC circuit in the figure below. The switch was at position a for a long period of time and is switched to position b at time t = 0.

a) Suppose R=493Ω, C=4.4μF, and Vb=4.6 V. What will be the voltage drop across the resistor at t=1.7 ms?

b) How much energy in total will eventually be dissipated by the resistor?

c) Now suppose that the switch has been at position b for a long time and is switched to position a at t = 0 s. What will be the voltage drop across the capacitor after 1.7 ms?

The image depicts an electrical circuit diagram featuring a switch, resistor, capacitor, and a battery. Here's a detailed breakdown: 1. **Battery (Vb):** - Positioned on the left side of the diagram, it's indicated with the symbol for a voltage source. The voltage across the battery is labeled \(V_b\). 2. **Switch (a and b):** - Located between the battery and the rest of the circuit. - The switch can toggle between two positions: open and closed (indicated by a dashed line and two labeled points "a" and "b"). The switch is currently shown connected at point "a," completing the circuit. 3. **Resistor (R):** - Identified with a zigzag symbol, it is connected to the switch. The component is labeled with "R," representing resistance. 4. **Capacitor (C):** - Shown with two parallel lines, the capacitor is connected to the resistor. It is labeled with a "C." 5. **Voltage across the Capacitor (Vc):** - The voltage across the capacitor is marked as \(V_c\). Overall, this configuration represents a simple RC charging circuit, where the capacitor can charge or discharge through the resistor depending on the position of the switch.
Transcribed Image Text:The image depicts an electrical circuit diagram featuring a switch, resistor, capacitor, and a battery. Here's a detailed breakdown: 1. **Battery (Vb):** - Positioned on the left side of the diagram, it's indicated with the symbol for a voltage source. The voltage across the battery is labeled \(V_b\). 2. **Switch (a and b):** - Located between the battery and the rest of the circuit. - The switch can toggle between two positions: open and closed (indicated by a dashed line and two labeled points "a" and "b"). The switch is currently shown connected at point "a," completing the circuit. 3. **Resistor (R):** - Identified with a zigzag symbol, it is connected to the switch. The component is labeled with "R," representing resistance. 4. **Capacitor (C):** - Shown with two parallel lines, the capacitor is connected to the resistor. It is labeled with a "C." 5. **Voltage across the Capacitor (Vc):** - The voltage across the capacitor is marked as \(V_c\). Overall, this configuration represents a simple RC charging circuit, where the capacitor can charge or discharge through the resistor depending on the position of the switch.
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