Three resistors are connected in parallel to a 69.5 V battery: R1 = 8.18 N, R2 = 8.01 N and R3 = 6.63 Q. Now, as R3 heats up, its resistance increases according to: %3D dR3 = 0.301 Q/s dt dP Assume the resistance of the other resistors remain constant. Find dt the rate at which the power pulled from the battery is changing in W/s, at the instant R3 = 29 Q. The sign shows whether the power is increasing or decreasing. How does the rate at which the power changes in a parallel circuit with the rate the power changes in a series circuit?
Three resistors are connected in parallel to a 69.5 V battery: R1 = 8.18 N, R2 = 8.01 N and R3 = 6.63 Q. Now, as R3 heats up, its resistance increases according to: %3D dR3 = 0.301 Q/s dt dP Assume the resistance of the other resistors remain constant. Find dt the rate at which the power pulled from the battery is changing in W/s, at the instant R3 = 29 Q. The sign shows whether the power is increasing or decreasing. How does the rate at which the power changes in a parallel circuit with the rate the power changes in a series circuit?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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![**Problem Description:**
Three resistors are connected in *parallel* to a 69.5 V battery. The resistances are as follows: \( R_1 = 8.18 \, \Omega \), \( R_2 = 8.01 \, \Omega \), and \( R_3 = 6.63 \, \Omega \). As \( R_3 \) heats up, its resistance increases according to:
\[
\frac{dR_3}{dt} = 0.301 \, \Omega/s
\]
Assume the resistance of the other resistors remains constant. Determine \( \frac{dP}{dt} \), the rate at which the power pulled from the battery is changing in W/s, at the instant \( R_3 = 29 \, \Omega \). The sign will indicate whether the power is increasing or decreasing.
**Discussion Question:**
How does the rate at which the power changes in a parallel circuit compare with the rate at which power changes in a series circuit?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17973563-4021-4a4a-b1f7-560c1050ab9b%2F17d3c985-2e60-4663-9f9a-374f2be399ca%2Fp4vp5xc.png&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
Three resistors are connected in *parallel* to a 69.5 V battery. The resistances are as follows: \( R_1 = 8.18 \, \Omega \), \( R_2 = 8.01 \, \Omega \), and \( R_3 = 6.63 \, \Omega \). As \( R_3 \) heats up, its resistance increases according to:
\[
\frac{dR_3}{dt} = 0.301 \, \Omega/s
\]
Assume the resistance of the other resistors remains constant. Determine \( \frac{dP}{dt} \), the rate at which the power pulled from the battery is changing in W/s, at the instant \( R_3 = 29 \, \Omega \). The sign will indicate whether the power is increasing or decreasing.
**Discussion Question:**
How does the rate at which the power changes in a parallel circuit compare with the rate at which power changes in a series circuit?
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Equivalent resistance in the parallel circuit is,
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