Question

A circuit consists of a $10.0$-ohm resistor, a $15.0$-ohm resistor, and a 20.0-ohm resistor connected in parallel across a $9.00$-volt battery. What is the equivalent resistance of this circuit? (A) $0.200 \Omega$ (B) $1.95 \Omega$ (C) $4.62 \Omega$ (D) $45.0 \Omega$

Name: Problem 75, Chapter 9: Let's Review Regents: Physics—Physical Setting
Uploaded: 2022-01-26T09:46:23-08:00
Duration: 1 min 38 s
Channel: Rachel B.
Description: A circuit consists of a 10.0-ohm resistor, a 15.0-ohm resistor, and a 20.0-ohm resistor connected in parallel across a 9.00-volt battery. What is the equivalent resistance of this circuit? (A) 0.200 Ω(B) 1.95 Ω(C) 4.62 Ω(D) 45.0 Ω

   A circuit consists of a $10.0$-ohm resistor, a $15.0$-ohm resistor, and a 20.0-ohm resistor connected in parallel across a $9.00$-volt battery. What is the equivalent resistance of this circuit?
(A) $0.200 \Omega$
(B) $1.95 \Omega$
(C) $4.62 \Omega$
(D) $45.0 \Omega$

Let's Review Regents: Physics—Physical Setting

Miriam A. Lazar 1st Edition

Chapter 9, Problem 75

Instant Answer

Solved by Expert Rachel B.

01/26/2022

Step 1

Step 1: The equivalent resistance of resistors in parallel is given by the formula: \[ \frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \ldots \] where $R_{eq}$ is the equivalent resistance, and $R_1, R_2, R_3, \ldots$ are the resistances of Show more…

Show all steps

Thanks for your feedback!

A circuit consists of a $10.0$-ohm resistor, a $15.0$-ohm resistor, and a 20.0-ohm resistor connected in parallel across a $9.00$-volt battery. What is the equivalent resistance of this circuit? (A) $0.200 \Omega$ (B) $1.95 \Omega$ (C) $4.62 \Omega$ (D) $45.0 \Omega$

Play audio

Feedback

Rachel B. and 86 other subject Physics 102 Electricity and Magnetism educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Resistive Circuit Analysis

Resistive circuit analysis involves examining how resistors influence current flow and voltage distribution in a circuit. Understanding concepts such as series and parallel configurations and how to combine resistances is essential for solving problems and designing efficient electrical circuits.

Parallel Circuit

A parallel circuit is one in which all components share the same voltage across them, but the current divides among the different branches. In such circuits, the overall resistance is lower than that of any individual branch because the current has multiple paths to take.

Equivalent Resistance Calculation

The equivalent resistance for resistors connected in parallel is determined using the reciprocal formula: 1/R_eq = 1/R1 + 1/R2 + ... + 1/Rn. This method simplifies the analysis of circuits by allowing multiple resistors to be combined into a single effective resistance.

Please give Ace some feedback