Suppose that electricity is draining from a capacitor at a rate that is proportional to the voltage V across its terminals and that, if t is measured in seconds, 1 V 40 dV dt Solve this equation for V , using Vo to denote the value of V when t =0. How long will it takes for the voltage to drop to 10% of its original value?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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t= 4.21 seconds
Suppose that electricity is draining from a capacitor
at a rate that is proportional to the voltage V across
its terminals and that, if t is measured in seconds,
dV
1
V
40
dt
Solve this equation for V , using Vo to denote the
value of V when t =0. How long will it takes for
the voltage to drop to 10% of its original value?
Transcribed Image Text:Suppose that electricity is draining from a capacitor at a rate that is proportional to the voltage V across its terminals and that, if t is measured in seconds, dV 1 V 40 dt Solve this equation for V , using Vo to denote the value of V when t =0. How long will it takes for the voltage to drop to 10% of its original value?
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