Solving for Current in Resistor 2 at t = 4.00 ms

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The discussion revolves around calculating the current in resistor R2 at t = 4.00 ms after a switch is opened in a circuit with given values for resistors and a capacitor. The user initially calculated the current to be 0.000478 A and seeks confirmation of this result. There is an emphasis on the importance of showing all steps in the calculation for clarity and verification. Participants are encouraged to review the user's approach if the answer is incorrect. Accurate calculations are crucial for understanding the behavior of the circuit after the switch is opened.
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Homework Statement


In the figure below, R1 = 5.0 k, R2 = 10.0 k, C = 0.600 µF, and the ideal battery has emf script e = 20.0 V. First, the switch is closed a long time so that the steady state is reached. Then the switch is opened at time t = 0. What is the current in resistor 2 at t = 4.00 ms?
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The Attempt at a Solution


I did everything and got .000478. Is this correct? If not, I'll go through all of my steps.
 
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