A 2.90 × 10^-6 F capacitor initially at 17 V discharges through 2.80 × 10^6 Ω. Find the time constant and the capacitor voltage and charge at t = 11.4 s.

τ = 8.12 s; V = 4.19 V; Q = 1.22 × 10^-5 C τ = RC = (2.80 × 10^6)(2.90 × 10^-6) = 8.12 s. V = V₀e^(−t/τ) = 17e^(−1.4) = 4.19 V. Q = CV = 1.22 × 10^-5 C.

AP Physics · APCEM-4 · data analysis

RC discharge snapshot 9

AP Physics C: Electricity and Magnetism · Capacitors and circuits · Original GioPhysics question with a detailed, mark-by-mark answer guide.

Demand: demanding
Marks: 6
Topics: 2
Answer: Complete

Question6 marks

A 2.90 × 10^-6 F capacitor initially at 17 V discharges through 2.80 × 10⁶ Ω. Find the time constant and the capacitor voltage and charge at t = 11.4 s.

Task interpretation

What a complete response should do

Identify the useful evidence, process it with units, and make only the conclusion the data supports.

Split the problem into linked stages and state why each relationship applies.

Response type: data analysis
Allocation: 6 marks
Demand: demanding

Your working or explanation Private and unsaved

Ready to check?Reveal answer and worked solution

Private on this device

How did this one feel?

Use your answer and the marking steps—not confidence alone—to choose.