Solving for Current in Resistor 2 at t = 4.00 ms

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In summary, a discharging capacitor is an electronic component that stores electrical energy and releases it when a power source is removed. It discharges through a circuit and is commonly used in various electronic devices such as power supplies, audio systems, and cameras. To safely discharge a capacitor, one must disconnect any power source and use a resistor or specialized tool. Failure to discharge a capacitor can result in stored energy that can be dangerous and can affect the performance of the circuit.
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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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Homework Equations





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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Show your steps.
 

1. What is a discharging capacitor?

A discharging capacitor is a type of electronic component that stores electrical energy in the form of an electrostatic field. When a capacitor is connected to a power source, it charges up by accumulating electrons on one plate and removing electrons from the other plate. When the power source is removed, the capacitor discharges, releasing its stored energy.

2. How does a capacitor discharge?

When the power source is removed, the capacitor discharges through a circuit, releasing its stored energy in the form of an electrical current. This current flows from the positively charged plate to the negatively charged plate until the capacitor is fully discharged. The rate of discharge depends on the capacitance of the capacitor and the resistance of the circuit.

3. What are the applications of discharging capacitors?

Discharging capacitors have a wide range of applications in various electronic devices. They are commonly used in power supplies to smooth out fluctuations in voltage, in audio systems to filter out unwanted frequencies, and in cameras to provide a flash of light. They are also used in defibrillators to deliver a high voltage shock to the heart during cardiac arrest.

4. How can I discharge a capacitor safely?

To discharge a capacitor safely, you should first disconnect any power source and ensure that there is no residual charge. Then, use a resistor or a specialized discharge tool to slowly drain the capacitor's energy. It is important to handle capacitors with caution as they can store a significant amount of energy and can cause electric shocks.

5. What happens if a capacitor is not discharged?

If a capacitor is not discharged, it can retain a significant amount of electrical energy, which can be dangerous if handled improperly. It can also affect the performance of the circuit it is connected to. In some cases, if a capacitor is not properly discharged before being replaced, it can damage the new capacitor or other components in the circuit.

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