**Instruction:**Given the parallel circuit presented below, calculate the Equivalent Resistance (Req) when R1=40Ω, R2=40Ω, and R3=20Ω. The Voltage of the battery is unknown.**Diagram Explanation:**The diagram depicts a parallel circuit connected to a battery. The circuit consists of three resistors labeled R1, R2, and R3.1. **Battery:** Positioned on the left side, symbolizing the power source for the circuit.2. **Resistors:** - **R1:** Positioned first, has a resistance value of 40Ω. - **R2:** Positioned second, has a resistance value of 40Ω. - **R3:** Positioned third, has a resistance value of 20Ω.The resistors are connected in parallel, meaning each one is directly connected across the same voltage source (the battery).**Calculating Equivalent Resistance in Parallel:**For resistors in parallel, the formula for equivalent resistance (Req) is given by:\[ \frac{1}{Req} = \frac{1}{R1} + \frac{1}{R2} + \frac{1}{R3} \]Substituting in the given values:\[ \frac{1}{Req} = \frac{1}{40} + \frac{1}{40} + \frac{1}{20} \]Calculating each term:\[ \frac{1}{40} = 0.025 \]\[ \frac{1}{40} = 0.025 \]\[ \frac{1}{20} = 0.05 \]Adding these reciprocals:\[ \frac{1}{Req} = 0.025 + 0.025 + 0.05 = 0.1 \]Therefore, the equivalent resistance is:\[ Req = \frac{1}{0.1} = 10Ω \]The equivalent resistance of the parallel circuit is 10Ω.

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Answered: Given the parallel circuit presented…

Given the parallel circuit presented below calculate the Equivalent Resistance Req when R1=400; R2=400 and R3=200. The Voltage of the battery is unknown.

College Physics

11th Edition

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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Question

**Instruction:**

Given the parallel circuit presented below, calculate the Equivalent Resistance (Req) when R1=40Ω, R2=40Ω, and R3=20Ω. The Voltage of the battery is unknown.

**Diagram Explanation:**

The diagram depicts a parallel circuit connected to a battery. The circuit consists of three resistors labeled R1, R2, and R3.

1. **Battery:** Positioned on the left side, symbolizing the power source for the circuit.
2. **Resistors:**
- **R1:** Positioned first, has a resistance value of 40Ω.
- **R2:** Positioned second, has a resistance value of 40Ω.
- **R3:** Positioned third, has a resistance value of 20Ω.

The resistors are connected in parallel, meaning each one is directly connected across the same voltage source (the battery).

**Calculating Equivalent Resistance in Parallel:**

For resistors in parallel, the formula for equivalent resistance (Req) is given by:

\[ \frac{1}{Req} = \frac{1}{R1} + \frac{1}{R2} + \frac{1}{R3} \]

Substituting in the given values:

\[ \frac{1}{Req} = \frac{1}{40} + \frac{1}{40} + \frac{1}{20} \]

Calculating each term:

\[ \frac{1}{40} = 0.025 \]
\[ \frac{1}{40} = 0.025 \]
\[ \frac{1}{20} = 0.05 \]

Adding these reciprocals:

\[ \frac{1}{Req} = 0.025 + 0.025 + 0.05 = 0.1 \]

Therefore, the equivalent resistance is:

\[ Req = \frac{1}{0.1} = 10Ω \]

The equivalent resistance of the parallel circuit is 10Ω.

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