A battery with potential emf is connected with two resistors (resistances R and 2R), a capacitor (capacitance C), and a switch to close and open the circuit as shown. Assume all of the connecting wires have zero resistance. w emf switch Т W 2R 1. [8pts] Write down the the node rule relating the currents IR and I2R flowing through the two resistors and the current Ic flowing to the capacitor, and all the loop rules that apply to this circuit when the switch is closed. Use the variable Q for the magnitude of the charge on the capacitor plates. 2. [9pts] Suppose that initially the capacitor is uncharged, and the switch is open. Then the switch is closed. Using the equations you found above, determine the currents IR, I2R, and I immediately after closing the switch. 3. [10pts] With the switch closed, the circuit eventually reaches steady state. Use the node and loop rules to calculate the steady state charge on the capacitor. 4. [8pts] Now you open the switch! Find the magnitude of the currents IR and I2R immediately afterwards. 5. [5pts] Sketch the current I2R after opening the switch as a function of time.

A battery with potential emf is connected with two resistors (resistances R and 2R), a capacitor (capacitance C), and a switch to close and open the circuit as shown. Assume all of the connecting wires have zero resistance. w emf switch Т W 2R 1. [8pts] Write down the the node rule relating the currents IR and I2R flowing through the two resistors and the current Ic flowing to the capacitor, and all the loop rules that apply to this circuit when the switch is closed. Use the variable Q for the magnitude of the charge on the capacitor plates. 2. [9pts] Suppose that initially the capacitor is uncharged, and the switch is open. Then the switch is closed. Using the equations you found above, determine the currents IR, I2R, and I immediately after closing the switch. 3. [10pts] With the switch closed, the circuit eventually reaches steady state. Use the node and loop rules to calculate the steady state charge on the capacitor. 4. [8pts] Now you open the switch! Find the magnitude of the currents IR and I2R immediately afterwards. 5. [5pts] Sketch the current I2R after opening the switch as a function of time.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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