A voltage V (volts) across a resistance R (ohms) generates a current I (amps) according to I = (a) Suppose voltage is constant, but resistance is changing with time. Which of the following could be used to find the rate at which the current changes with time? VdR R dt O di dR O dI dt O di dR O di dt O di dt =- ==> =- VdR R2 dt V R² V. dR R dt V dv R² dt (b) If a constant voltage of 9 volts is put across a resistance that is decreasing at a rate of 0.4 ohms per second when the resistance is 5 ohms, at what rate is the current changing? Round your answer to 3 decimal places. amps per sec (c) Is the current in part (b) increasing or decreasing? O Decreasing O Increasing
A voltage V (volts) across a resistance R (ohms) generates a current I (amps) according to I = (a) Suppose voltage is constant, but resistance is changing with time. Which of the following could be used to find the rate at which the current changes with time? VdR R dt O di dR O dI dt O di dR O di dt O di dt =- ==> =- VdR R2 dt V R² V. dR R dt V dv R² dt (b) If a constant voltage of 9 volts is put across a resistance that is decreasing at a rate of 0.4 ohms per second when the resistance is 5 ohms, at what rate is the current changing? Round your answer to 3 decimal places. amps per sec (c) Is the current in part (b) increasing or decreasing? O Decreasing O Increasing
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Transcribed Image Text:A voltage V (volts) across a resistance R (ohms) generates a current I (amps) according to I =
V
R
(a) Suppose voltage is constant, but resistance is changing with time. Which of the following could be used to find the rate at which the current changes with time?
dI
V. dR
dR
R dt
O
O
O
O
dt
dR
dt
dI
dt
=
=
||
||
=
=
I
I
V dR
R2 dt
V
R²
V. dR
R dt
V dV
R² dt
(b) If a constant voltage of 9 volts is put across a resistance that is decreasing at a rate of 0.4 ohms per second when the resistance is 5 ohms, at what rate is the current changing? Round your answer to 3 decimal places.
amps per sec
(c) Is the current in part (b) increasing or decreasing?
O Decreasing
O Increasing
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