Explanation Use the given conditions to obtain the differential equation and then use the initial condition to obtain the exact solution. Given: Consider a series circuit (Figure 4) consisting of a resistor of R ohms, an inductor of L henries and a variable voltage source of V ( t ) volts (time t in seconds). The current through the circuit I ( t ) in amperes satisfies the differential equation . d I d t + R I L = V ( t ) L ------ (9) Calculation: Given R = 100 o h m s , L = 5 h e n r i e s and V ( t ) = 10 v o l t s is constant, the differential equation is of the form d I d t + 20 I = 2 ,which is a linear equation in the standard form with A ( t ) = 20 , B ( t ) = 2 ...

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ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 10.5, Problem 39E

To determine

The solution of Equation (9) with initial condition $I (0) = 0$ assuming that $R = 100 o h m s$ , $L = 5 h e n r i e s$ and $V (t) = 10 v o l t s$ is constant .

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Chapter 10.5, Problem 38E

Chapter 10.5, Problem 40E

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The solution of Equation (9) with initial condition I ( 0 ) = 0 assuming that R = 100 o h m s , L = 5 h e n r i e s and V ( t ) = 10 v o l t s is constant .

Solution Summary: The author determines the solution of Equation (9) with initial condition I ( 0 ) = 0, assuming that R = 100 ohms, L = 5 h e n

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The solution of Equation (9) with initial condition $I (0) = 0$ assuming that $R = 100 o h m s$ , $L = 5 h e n r i e s$ and $V (t) = 10 v o l t s$ is constant .

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Chapter 10 Solutions

The solution of Equation (9) with initial condition I ( 0 ) = 0 assuming that R = 100 o h m s , L = 5 h e n r i e s and V ( t ) = 10 v o l t s is constant .

Solution Summary: The author determines the solution of Equation (9) with initial condition I ( 0 ) = 0, assuming that R = 100 ohms, L = 5 h e n

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The solution of Equation (9) with initial condition I(0)=0 assuming that R=100ohms, L=5henries and V(t)=10volts is constant .

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Chapter 10 Solutions

The solution of Equation (9) with initial condition $I (0) = 0$ assuming that $R = 100 o h m s$ , $L = 5 h e n r i e s$ and $V (t) = 10 v o l t s$ is constant .