2. A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000 ohms and the capacitance is 5 x 10-6 farad. a. Find the charge q(t) on the capacitor if i(0) = 0.4. b. Determine the charge and current at t = 0.0005 s. C. Determine the charge as t→∞

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 13CC
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2. A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000 ohms and
the capacitance is 5 x 10-6 farad.
a.
Find the charge q(t) on the capacitor if i(0) = 0.4.
b. Determine the charge and current at t = 0.0005 s.
C. Determine the charge as t→∞
Transcribed Image Text:2. A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000 ohms and the capacitance is 5 x 10-6 farad. a. Find the charge q(t) on the capacitor if i(0) = 0.4. b. Determine the charge and current at t = 0.0005 s. C. Determine the charge as t→∞
Solve the following word problems. Express all answers in simplest form with the correct units.
1. A radioactive substance is known to decompose at a rate proportional to the amount present. Initially,
there are 1000 g of the substance present. After 29 days, it was observed that almost 30% of the original
mass has decomposed.
a. Find the rate of decay. Round your answer up to four decimal places and indicate the correct unit.
b. Find the mass after 18 days.
c. What is its half-life?
Transcribed Image Text:Solve the following word problems. Express all answers in simplest form with the correct units. 1. A radioactive substance is known to decompose at a rate proportional to the amount present. Initially, there are 1000 g of the substance present. After 29 days, it was observed that almost 30% of the original mass has decomposed. a. Find the rate of decay. Round your answer up to four decimal places and indicate the correct unit. b. Find the mass after 18 days. c. What is its half-life?
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