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Capacitors in a Circuit

Benjamin King

Benjamin King

8 min read

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Study Guide Overview

This study guide covers capacitors in series and parallel circuits, including calculations of total capacitance and charge. It also explains steady state behavior of capacitors in DC circuits and introduces RC circuits, focusing on charging/discharging equations, the time constant (Ο„), and relevant graphs. Finally, it provides practice questions and exam tips covering these key concepts.

AP Physics C: E&M - Capacitors: The Night Before ⚑

Hey! Let's get you prepped for the exam! Remember, you've got this. We're going to make sure you're feeling confident and ready to tackle those capacitor questions. Let’s dive in!

Remember, circuits with capacitors are very common on the FRQs. This is a high-value topic, so let's make sure you're solid on it!

Capacitors in Series & Parallel πŸ”‹

Just like resistors, capacitors can be combined in series and parallel, but their rules are flipped! Let's break it down:

Parallel Capacitors

  • In parallel, capacitors act like one big capacitor storing a large charge. Think of it as multiple lanes on a highway, all contributing to the total traffic flow.
  • Total Charge: Qtotal=Q1+Q2+Q3+...Q_{total} = Q_1 + Q_2 + Q_3 + ...
  • Total Capacitance: Ctotal=C1+C2+C3+...C_{total} = C_1 + C_2 + C_3 + ... (simply add them up!)

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Quick Fact

Capacitors in parallel: add the capacitances directly! Ctotal=C1+C2+C3+...C_{total} = C_1 + C_2 + C_3 + ...

Series Capacitors

  • In series, the charge is the same on each capacitor, but the voltage is split. Think of it as a single-lane road with multiple toll booths.
  • Total Charge: Qtotal=Q1=Q2=Q3=...Q_{total} = Q_1 = Q_2 = Q_3 = ...
  • Total Capacitance: 1Ctotal=1C1+1C2+1C3+...\frac{1}{C_{total}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3} + ... (reciprocal addition, just like resistors in parallel!)

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Memory Aid

Capacitor Rules: Flip-Flop!

  • Capacitors in series: use the reciprocal formula (like resistors in parallel).
  • Capacitors in parallel: add directly (like resistors in series).

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Question 1 of 12

Two capacitors, with capacitances C1=2ΞΌFC_1 = 2 \mu F and C2=4ΞΌFC_2 = 4 \mu F, are connected in parallel. What is the total capacitance of this combination? πŸš€

2 ΞΌF\mu F

4 ΞΌF\mu F

6 ΞΌF\mu F

8 ΞΌF\mu F