Question

In the circuit diagram below, two $4.0$-ohm resistors are connected to a 16-volt battery as shown. The rate at which electrical energy is expended in this circuit is (A) $8.0 \mathrm{~W}$ (B) $16 \mathrm{~W}$ (C) $32 \mathrm{~W}$ (D) $64 \mathrm{~W}$

Name: Problem 77, Chapter 9: Let's Review Regents: Physics—Physical Setting
Uploaded: 2022-01-26T10:13:52-08:00
Duration: 1 min 40 s
Channel: Rachel B.
Description: In the circuit diagram below, two 4.0-ohm resistors are connected to a 16-volt battery as shown. The rate at which electrical energy is expended in this circuit is (A) 8.0 W (B) 16 W (C) 32 W (D) 64 W

   In the circuit diagram below, two $4.0$-ohm resistors are connected to a 16-volt battery as shown.
The rate at which electrical energy is expended in this circuit is
(A) $8.0 \mathrm{~W}$
(B) $16 \mathrm{~W}$
(C) $32 \mathrm{~W}$
(D) $64 \mathrm{~W}$

Let's Review Regents: Physics—Physical Setting

Miriam A. Lazar 1st Edition

Chapter 9, Problem 77

Instant Answer

Solved by Expert Rachel B.

01/26/2022

Step 1

0-ohm resistors that are connected in series to a 16-volt battery. The total resistance in a series circuit is the sum of the individual resistances. Therefore, the total resistance $R_{total}$ is $4.0 \, \Omega + 4.0 \, \Omega = 8.0 \, \Omega$. Show more…

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In the circuit diagram below, two $4.0$-ohm resistors are connected to a 16-volt battery as shown. The rate at which electrical energy is expended in this circuit is (A) $8.0 \mathrm{~W}$ (B) $16 \mathrm{~W}$ (C) $32 \mathrm{~W}$ (D) $64 \mathrm{~W}$

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Key Concepts

Series Combination of Resistors

In a series circuit, resistors are connected end-to-end so that the same current flows through them. The total resistance is the sum of the individual resistances. This concept is crucial when analyzing how voltage divides across components and affects the overall current in the circuit.

Electric Power in Circuits

Electric power represents the rate at which energy is used or dissipated in a circuit and is measured in watts. It can be calculated using different formulas, such as P = VI, P = I^2R, or P = V^2/R. Understanding power calculations is important for analyzing how efficiently electrical energy is converted within a circuit.

Ohm's Law

Ohm's Law is fundamental in circuit analysis. It defines the relationship among voltage, current, and resistance, usually expressed as V = IR, where V is the voltage, I is the current, and R is the resistance. This law is essential for determining unknown quantities within any electrical circuit.

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