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Back to Exercise: Capacitors and Dielectrics

Exercises: Capacitors and Dielectrics

Work through each section in order. Show your work for all calculation problems. Use $\varepsilon_0 = 8.85 \times 10^{-12}\ \text{C}^2/(\text{N·m}^2)$ where needed.

Grade 11·21 problems·~30 min·OpenStax Physics (High School)·section·sec-18-5
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A

Recall / Warm-Up

1.

Which best describes what a capacitor does in a circuit?

2.

A parallel-plate capacitor is connected to a 12 V battery. The voltage across the capacitor is:

3.

When a dielectric material is inserted between the plates of a charged capacitor (with the plates disconnected from any battery), what happens to the voltage across the plates?

B

Fluency Practice

1.

A capacitor stores Q=180 μCQ = 180\ \mu\text{C} of charge when connected to a V=9 VV = 9\ \text{V} source. What is the capacitance in microfarads?

2.

A 47 μF47\ \mu\text{F} capacitor is connected to a 5.0 V5.0\ \text{V} source. How much charge is stored on the capacitor, in microcoulombs?

3.

A capacitor with C=100 μFC = 100\ \mu\text{F} stores Q=500 μCQ = 500\ \mu\text{C} of charge. A second capacitor with C=500 μFC = 500\ \mu\text{F} stores the same charge Q=500 μCQ = 500\ \mu\text{C}. Which capacitor has the higher voltage across its plates?

4.

A 200 μF200\ \mu\text{F} capacitor is charged to V=300 VV = 300\ \text{V}. Calculate the energy stored in the capacitor in joules.

5.

A capacitor stores U=0.050 JU = 0.050\ \text{J} of energy at a voltage of V=100 VV = 100\ \text{V}. What is the capacitance in microfarads?

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