### Electrical Circuit Problem**Problem Statement:**3. In the circuit below, both batteries have insignificant internal resistance. **Circuit Diagram Description:**- A circuit is shown with two loops and two batteries.- The first battery, labeled as \(36 \, \text{V}\), is connected in the left loop with a current of \(3 \, \text{A}\) passing through a resistor labeled \(R\).- A \(9 \, \Omega\) resistor is connected in the same loop with the \(36 \, \text{V}\) battery.- The second battery is labeled \(\mathcal{E}\) (unknown electromotive force).- This battery is in the right loop, in series with a \(2 \, \Omega\) resistor.- The right loop also includes a \(6 \, \Omega\) resistor with a current of \(5 \, \text{A}\) flowing through it.- A \(3 \, \Omega\) resistor bridges the two loops horizontally at the bottom.**Questions:**(a) Find the unknown resistance \(R\).(b) Find the unknown emf \(\mathcal{E}\).### Instructions:1. Use the given values and laws of electrical circuits (such as Ohm's Law and Kirchhoff’s Laws) to find the unknown resistance \(R\) and electromotive force \(\mathcal{E}\).2. Analyze the circuit using the principles of series and parallel combinations of resistors, and calculate accordingly. This problem is typical for practicing circuit analysis in electrical engineering or physics courses.

Answered: Image /qna-images/answer/ec9216fd-a98d-4f7a-9902-8a646062c354.jpg

Answered: 3. In the circuit below, both batteries…

3. In the circuit below, both batteries have insignificant internal resistance. 9Ω R 3 A 36 V +1 (a) Find the unknown resistance R. (b) Find the unknown emf E. <3N E 252 ≥60 5 A

College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Ohm's law

Ohm’s law is a prominent concept in physics and electronics. It gives the relation between the current and the voltage. It is used to analyze and construct electrical circuits. Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it.

Path of Least Resistance

In a series of alternate pathways, the direction of least resistance is the actual or metaphorical route that offers the least resistance to forwarding motion by a given individual or body.

Question

### Electrical Circuit Problem

**Problem Statement:**

3. In the circuit below, both batteries have insignificant internal resistance.

**Circuit Diagram Description:**

- A circuit is shown with two loops and two batteries.
- The first battery, labeled as \(36 \, \text{V}\), is connected in the left loop with a current of \(3 \, \text{A}\) passing through a resistor labeled \(R\).
- A \(9 \, \Omega\) resistor is connected in the same loop with the \(36 \, \text{V}\) battery.
- The second battery is labeled \(\mathcal{E}\) (unknown electromotive force).
- This battery is in the right loop, in series with a \(2 \, \Omega\) resistor.
- The right loop also includes a \(6 \, \Omega\) resistor with a current of \(5 \, \text{A}\) flowing through it.
- A \(3 \, \Omega\) resistor bridges the two loops horizontally at the bottom.

**Questions:**

(a) Find the unknown resistance \(R\).

(b) Find the unknown emf \(\mathcal{E}\).

### Instructions:

1. Use the given values and laws of electrical circuits (such as Ohm's Law and Kirchhoff’s Laws) to find the unknown resistance \(R\) and electromotive force \(\mathcal{E}\).
2. Analyze the circuit using the principles of series and parallel combinations of resistors, and calculate accordingly.

This problem is typical for practicing circuit analysis in electrical engineering or physics courses.

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