Start learning →

For RC circuit charging through resistor R: dq/dt + q/(RC) = V/R. Time constant:

ARC (= τ)
BC/R
CR + C
DR/C
Answer & Solution
Correct answer: A. RC (= τ)
τ = RC. **Charge:** q(t) = CV(1 - e^(-t/τ)). **After one time constant:** q ≈ 63% of final. Practical 'fully charged' after ~5τ.
Practise this question with Quill — AP Calculus AB →

Keep practising Unit 7: Differential Equations and Modeling

Browse all Unit 7: Differential Equations and Modeling questions for AP Calculus AB, or explore more Mathematics topics.

Start a Unit 7: Differential Equations and Modeling lesson →