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?
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
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 24P
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