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Understanding RC Circuit Charging Time Calculation

Learn how to calculate the charging time of an RC circuit with a given resistor, capacitor, and supply voltage. Follow key formula points and steps to determine the time taken for the capacitor to charge to a specific voltage.

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Understanding RC Circuit Charging Time Calculation

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  1. RC Circuit • Important points to consider: • common log: 100 = 102 ; so, log10 100 = 2 • natural log: 20 = e3 ; so ln 20 = 3 • Vo  the supply voltage • RC  characteristic time constant The Problem: A series circuit consists of R = 50.0 M , C = 6.00 F, and V = 10.0 V DC. The capacitor is initially discharged. When the power supply is turned on (t = 0), how long (in seconds) will it take for the capacitor to charge to 8.00 V?

  2. For charging: Solve for t:

  3. This is similar to: So,

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