Problem 2
A capacitor C charged to V₀ discharges through resistor R, with q(0)=CV₀. Find q(t) and discharge current i(t). Use the stated ideal model: quantities are constant or vary only as specified, with no extra drag, losses, or external influences. State a sign convention, keep units consistent, and use a classical approximation only where appropriate. (a) Set up the governing equation from a fundamental law. (b) Solve for the requested quantity under the stated conditions. (c) Check the result using a suitable limit, sign, or unit test, and report both the expression and its physical meaning.
problems.proof.stepOf
problems.proof.analysis
Choose the physical system and sign convention specified in the problem, then identify the ideal assumptions. This fixes which forces, currents, or quantities can be exchanged during the process.