A charged capacitor is connected to a resistor and switch as in the figure below. The circuit has...

Question:

A charged capacitor is connected to a resistor and switch as in the figure below. The circuit has a time constant of 0.900 s. Soon after the switch is closed, the charge on the capacitor is 60.0% of its initial charge.

figure

fig

(a) Find the time interval required for the capacitor to reach this charge. Answer in s.

(b) If R = {eq}260 \ k\Omega {/eq}, what is the value of C? Answer in {eq}\mu F {/eq}.

Answer and Explanation:

For the given RC series discharging circuit, we are given:

  • Time constant ({eq}\tau) \ = 0.9 \ s{/eq}
  • Resistance (R) = {eq}260 \ k\Omega {/eq}
  • Charge...

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Resistor-Capacitor (RC) Circuits: Practice Problems

from High School Physics: Help and Review

Chapter 12 / Lesson 10
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