---
title: "A bridge circuit is connected to an ideal battery of emf \\(\\mathcal{E} = 36\\text{ V}\\), as shown in the diagram. The circuit consists of five resistors with resistances \\(R_1 = 10\\text{ }\\Omega\\), \\(R_2 = 20\\text{ }\\Omega\\), \\(R_3 = 15\\text{ }\\Omega\\), \\(R_4 = 30\\text{ }\\Omega\\), and a central bridge resistor \\(R_5 = 50\\text{ }\\Omega\\). What is the total electric current delivered to the circuit by the battery?"
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url: "https://nerd-notes.com/ubq/120399/"
date_modified: "2026-08-23T04:34:27+00:00"
---

# A bridge circuit is connected to an ideal battery of emf \(\mathcal{E} = 36\text{ V}\), as shown in the diagram. The circuit consists of five resistors with resistances \(R_1 = 10\text{ }\Omega\), \(R_2 = 20\text{ }\Omega\), \(R_3 = 15\text{ }\Omega\), \(R_4 = 30\text{ }\Omega\), and a central bridge resistor \(R_5 = 50\text{ }\Omega\). What is the total electric current delivered to the circuit by the battery?

A bridge circuit is connected to an ideal battery of emf \(\mathcal{E} = 36\text{ V}\), as shown in the diagram. The circuit consists of five resistors with resistances \(R_1 = 10\text{ }\Omega\), \(R_2 = 20\text{ }\Omega\), \(R_3 = 15\text{ }\Omega\), \(R_4 = 30\text{ }\Omega\), and a central bridge resistor \(R_5 = 50\text{ }\Omega\). What is the total electric current delivered to the circuit by the battery?

![A schematic diagram of a DC bridge circuit in a rectangular layout. On the far left vertical segment, a DC voltage source is labeled \(\mathcal{E} = 36\text{ V}\) with a longer horizontal line on top (positive) and a shorter thicker horizontal line on bottom (negative). From the top of the battery, a wire extends rightward to a junction that splits into an upper horizontal path and a lower horizontal path. The upper path contains two series resistors: \(R_1 = 10\text{ }\Omega\) on the left and \(R_2 = 20\text{ }\Omega\) on the right, with a node labeled X between them. The lower path contains two series resistors: \(R_3 = 15\text{ }\Omega\) on the left and \(R_4 = 30\text{ }\Omega\) on the right, with a node labeled Y between them. A vertical wire connects node X directly to node Y, containing a resistor labeled \(R_5 = 50\text{ }\Omega\). To the right of \(R_2\) and \(R_4\), the two paths rejoin at a single junction, which connects via a returning bottom wire to the negative terminal of the battery. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787459667-ihTA4E.jpg)

- **A.** \(0.80\text{ A}\)
- **B.** \(1.2\text{ A}\)
- **C.** \(2.0\text{ A}\)
- **D.** \(2.7\text{ A}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120399/*