When a capacitor is charged through a resistor by a constant voltage source, the voltages across the capacitor: Physics Assignment, UOW, Malaysia

School

University of Wollongong (UOW)

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Assignment Type

Individual Assignment

Subject

Physics

Uploaded by Malaysia Assignment Help

Date

30/01/2023

Part 1: Charging a Capacitor

Equipment:

  • Power supply
  • One large capacitor (about 2500µF), Resistance box
  • Multimeter
  • 4 banana cables
  • Stopwatch

When a capacitor is charged through a resistor by a constant voltage source, the voltages across the capacitor and resistor change exponentially with time. That is,
Physics

Where V is the applied voltage.

Likewise, when a capacitor is discharged through a resistor, the voltage is given by

Physics

Where V₀ is the initial voltage across the capacitor.
Physics

The rate at which the capacitor charges or discharges can be characterized by the time constant RC. When charging, RC is the time that it takes for the capacitor voltage to increase from zero voltage to 0.632 times the charging voltage, since at t=RC

Physics

Similarly, when discharging, RC is the time for the voltage to fall to 0.368 times its initial value, since at t=RC

Physics

RC Circuits

  1. When a capacitor is charged through a resistor by a constant voltage source, what are the voltages across the capacitor and a resistor?
  2. When a capacitor is discharged through a resistor by a constant voltage source, what are the voltages across the capacitor and a resistor?

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