The circuit described below is assembled and all components are ideal unless stated…
PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Electric Circuits · Electric Circuits
Problem
The circuit described below is assembled and all components are ideal unless stated otherwise.
• An ideal 10 V battery is connected to node A.
• From node A, two conducting paths lead to node B:
– Path 1: a 10 Ω resistor.
– Path 2: an initially uncharged 50 μF capacitor.
• From node B, a single 5 Ω resistor connects to ground, completing the circuit.
A switch placed between node A and the two parallel branches is closed at time t = 0.
(a) Immediately after the switch is closed, calculate the total current delivered by the battery.
(b) At the same initial instant, calculate the current through the 5 Ω resistor.
(c) For times long compared with any characteristic times of the circuit, calculate the current through each resistor.
(d) Determine the potential difference between node A and ground at both t = 0⁺ and t ≫ τ, and explain any differences you observe.