Four capacitors with capacitances C1=3.50 nF, C2=2.10 nF, C3=1.30 nF and C4=4.90 nF are wired to

step 1 In this question, we have a circuit of four capacitors. It is connected in this way. So we have

Four capacitors with capacitances C1=3.50 nF, C2=2.10 nF,...

Four capacitors with capacitances $C_{1}=3.50 \mathrm{nF}, C_{2}=2.10 \mathrm{nF}, C_{3}=1.30 \mathrm{nF}$ and $C_{4}=4.90 \mathrm{nF}$ are wired to a battery with $V=10.3 \mathrm{~V}$, as shown in the figure. What is the equivalent capacitance of this set of capacitors?

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Capacitance

Capacitance represents a component's ability to store electrical charge per unit voltage and is typically measured in Farads. In circuits, capacitors are used to store energy, filter signals, and perform timing functions among other applications.

Equivalent Capacitance

Equivalent capacitance is the concept of replacing a network of capacitors with a single capacitor that has the same overall effect in a circuit. Calculating the equivalent capacitance simplifies circuit analysis by allowing us to deal with one capacitor rather than many.

Series Combination of Capacitors

In a series configuration, the equivalent capacitance is determined by taking the reciprocal of the sum of the reciprocals of each individual capacitor's capacitance. This method reflects the fact that the same charge must pass through each capacitor, which results in a lower overall capacitance than any single capacitor in the series.

Parallel Combination of Capacitors

For capacitors connected in parallel, the equivalent capacitance is found by directly summing the capacitances. This is because each capacitor in a parallel arrangement directly experiences the same voltage from the source, allowing the total storage capacity to increase as more capacitors are added.

Transcript

Please give Ace some feedback