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 while I is decreasing at the rate of 1 4 amp/sec. (a) Find the equation that relates dR dt to dV dt and 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?
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 while I is decreasing at the rate of 1 4 amp/sec. (a) Find the equation that relates dR dt to dV dt and 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?
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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
while I is decreasing at the rate of 1
4 amp/sec.
(a) Find the equation that relates dR
dt to dV
dt and 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?
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