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Consider the circuit shown in the figure below. The battery has emf 72.0 V and negligible...

Question:

Consider the circuit shown in the figure below. The battery has emf 72.0 V and negligible internal resistance. {eq}{{\text{R}}_{\text{2}}}{\text{ = 2}}{\text{.00 }}\Omega {\text{, }}{{\text{C}}_{\text{1}}}{\text{ = 3}}{\text{.00 }}\mu {\text{F, and }}{{\text{C}}_{\text{2}}}{\text{ = 7}}{\text{.00 }}\mu {\text{F}} {/eq}. After the capacitors have attained their final charges, the charge on {eq}{{\text{C}}_{\text{1}}} {/eq} is {eq}{{\text{Q}}_{\text{1}}}{\text{ = 21}}{\text{.0 }}\mu {\text{C}} {/eq}. What is the resistance {eq}{{\text{R}}_{\text{1}}} {/eq}?

Voltages across Resistors in Series:

The same current flows through resistors if they are kept in series. So, the voltages across resistors kept in series are directly proportional to their resistances.

Answer and Explanation: 1

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We are given

  • The capacitance of capacitor 1: {eq}C_1 = \rm 3.00 \ \mu F {/eq}
  • The charge on capacitor 1 at the steady state: {eq}Q_1 = \rm 21.0 \...

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Resistor-Capacitor (RC) Circuits: Practice Problems

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Chapter 12 / Lesson 10
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Practice how to solve problems involving resistor-capacitor circuits. Discover what an RC circuit is, how to solve RC circuit equations, and practice solving some example problems.


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