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Electricity In a series resistancecapacitance DC circuit,

Calculus with Applications | 10th Edition | ISBN: 9780321749000 | Authors: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey ISBN: 9780321749000 67

Solution for problem 59A Chapter 4.4

Calculus with Applications | 10th Edition

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Calculus with Applications | 10th Edition | ISBN: 9780321749000 | Authors: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Calculus with Applications | 10th Edition

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Problem 59A

Problem 59A

Electricity In a series resistance−capacitance DC circuit, the instantaneous charge Q on the capacitor as a function of time (where t = 0 is the moment the circuit is energized by closing a switch) is given by the equation

Q(t) = CV(1 − et/RC),

where C, V, and R are constants. Further, the instantaneous charging current IC is the rate of change of charge on the capacitor, or IC = dQ/dt. Source: Kevin Friedrich.

a. Find the expression for IC as a function of time.

b. If C = 10−5 farads, R = 107 ohms, and V = 10 volts, what is the charging current after 200 seconds? (Hint: When placed into the function in part a the units can be combined into amps.)

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Chapter 4.4, Problem 59A is Solved
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Textbook: Calculus with Applications
Edition: 10
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
ISBN: 9780321749000

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Electricity In a series resistancecapacitance DC circuit,