---
title: "A circuit consists of an ideal battery with electromotive force (emf) \\(\\mathcal{E} = 12\\text{ V}\\) connected to two parallel branches. The first branch contains a resistor of resistance \\(R_1 = 6.0\\text{ }\\Omega\\). The second branch contains a resistor of resistance \\(R_2 = 3.0\\text{ }\\Omega\\) connected in series with an initially uncharged capacitor of capacitance \\(C = 4.0\\text{ }\\mu\\text{F}\\). A long time after the circuit is connected, what is the total current supplied by the battery?"
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url: "https://nerd-notes.com/ubq/118398/"
date_modified: "2026-08-04T08:09:54+00:00"
---

# A circuit consists of an ideal battery with electromotive force (emf) \(\mathcal{E} = 12\text{ V}\) connected to two parallel branches. The first branch contains a resistor of resistance \(R_1 = 6.0\text{ }\Omega\). The second branch contains a resistor of resistance \(R_2 = 3.0\text{ }\Omega\) connected in series with an initially uncharged capacitor of capacitance \(C = 4.0\text{ }\mu\text{F}\). A long time after the circuit is connected, what is the total current supplied by the battery?

A circuit consists of an ideal battery with electromotive force (emf) \(\mathcal{E} = 12\text{ V}\) connected to two parallel branches. The first branch contains a resistor of resistance \(R_1 = 6.0\text{ }\Omega\). The second branch contains a resistor of resistance \(R_2 = 3.0\text{ }\Omega\) connected in series with an initially uncharged capacitor of capacitance \(C = 4.0\text{ }\mu\text{F}\). A long time after the circuit is connected, what is the total current supplied by the battery?

![A schematic diagram showing an ideal DC voltage source labeled \(\mathcal{E} = 12\text{ V}\) on the left vertical branch. Connected in parallel to the right are two vertical branches. The middle branch contains a single resistor labeled \(R_1 = 6.0\text{ }\Omega\). The rightmost branch contains a resistor labeled \(R_2 = 3.0\text{ }\Omega\) in series with a capacitor labeled \(C = 4.0\text{ }\mu\text{F}\). Standard schematic symbols are used for the battery, resistors, and capacitor, with clean rectangular connecting wires forming two parallel loops. No other labels, text, or components appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-circuit-1-1785830994-YTkGXz.jpg)

- **A.** \(1.0\text{ A}\)
- **B.** \(1.3\text{ A}\)
- **C.** \(2.0\text{ A}\)
- **D.** \(6.0\text{ A}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118398/*