Suppose that electricity isdraining from a capacitor at a rate that is proportional to the voltageV across its terminals and that, if t is measured in seconds,dV/dt = -1/40 V. Solve this equation for V, using V0 to denote the value of V when t = 0. How long will it take the voltage to drop to 10% of its original value?

Suppose that electricity isdraining from a capacitor at a rate that is proportional to the voltageV across its terminals and that, if t is measured in seconds,dV/dt = -1/40 V. Solve this equation for V, using V0 to denote the value of V when t = 0. How long will it take the voltage to drop to 10% of its original value?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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