2 Consider an electrical circuit. The voltage V (volts), current I (amperes), and resistance R (ohms) are related by Ohm's law, which states V = IR. Suppose that V is increasing at the rate of 2 volt/sec 1 while I is decreasing at the rate of amp/sec. 4 dR (a) Find the equation that relates dt dV and to dt dI dt (b) Find the rate at which R is changing when V = 12 volts and I =2 amps. Be sure to include units. Is R increasing or decreasing?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 24P
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2 Consider an electrical circuit. The voltage V (volts), current I (amperes), and resistance R (ohms)
are related by Ohm's law, which states V = IR. Suppose that V is increasing at the rate of 2 volt/sec
1
while I is decreasing at the rate of - amp/sec.
4
dR
to
dt
AP
and
dI
(a) Find the equation that relates
dt
dt
(b) Find the rate at which R is changing when V = 12 volts and I =2 amps. Be sure to include units.
Is R increasing or decreasing?
Transcribed Image Text:2 Consider an electrical circuit. The voltage V (volts), current I (amperes), and resistance R (ohms) are related by Ohm's law, which states V = IR. Suppose that V is increasing at the rate of 2 volt/sec 1 while I is decreasing at the rate of - amp/sec. 4 dR to dt AP and dI (a) Find the equation that relates dt dt (b) Find the rate at which R is changing when V = 12 volts and I =2 amps. Be sure to include units. Is R increasing or decreasing?
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