Capacitance test with mark scheme, AP Physics C (PDF)

Quick answer: Capacitance is the charge stored per unit potential difference, C = Q/ΔV, measured in farads. This AP Physics C test on capacitance has 8 questions worth 20 marks, to do in 45 minutes: capacitance and charge, parallel plate capacitor and energy stored. The mark scheme is on a separate page; free printable PDF.

Capacitance test with answers for AP Physics C (free PDF download)

This AP Physics C test on capacitance test works like a real class test. The mark scheme is on a separate page, so revise with the lesson first.

This test lasts 45 minutes and carries 20 marks. Then, show each step, give answers with units and write explanations in full sentences. use ε₀ = 8.85 × 10⁻¹² F/m. Finally, do not assume data that a question does not give.

Level: AP Physics C (Mechanics and E&M, calculus-based) · Curriculum: AP PC:E&M Unit 10

Contents

Capacitance test: the test questions

Time: 45 minutes · 8 questions · Total: 20 marks · Calculator allowed

Question 1 Capacitance and charge (2 marks)

First, state what capacitance measures, and explain why storing more charge does not change a capacitor’s capacitance.

Question 2 Parallel plate capacitor (3 marks)

For example, a capacitor has plates of area 0.050 m² separated by 1.0 mm of air, and you charge it to 9.0 V. Then, calculate its capacitance and the charge stored.

Question 3 Energy stored (3 marks)

First, you charge a 220 μF capacitor to 30 V. Next, calculate the energy stored and the average power if it discharges completely in 0.50 ms.

Question 4 Dielectric inserted (3 marks)

First, you charge a 100 pF capacitor to 50 V and isolate it. you insert a slab of κ = 2.5. Then, calculate the new potential difference and the final energy.