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Question

How long will a capacitor take to discharge?


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Solution

Capacitor:

  1. A capacitor is an electrical energy storage device made up of two insulated conductors in close proximity. The parallel-plate capacitor is an easy example of such a storage device.
  2. Each capacitor's discharge time is different. To get the capacitor's discharge time, we must first determine the following: Where q is the capacitor's charge at a timet,C is the time constant, and is the battery's emf, the formula for q is q=εC1-eCR-t. Capacitor discharge occurs when a charged capacitor's plates are linked by a conducting wire.
  3. The unit of capacitor's capacitance (C) is Farad.
  4. The resistance (R) of the capacitor's draining resistance.
  5. The discharge's time constant is given byT=RC.
  6. After one time period, a fully charged capacitor will discharge to 63% its original voltage.
  7. As a result, we can safely assume that a capacitor discharges in 5-timeconstants.

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