Laboratory Manual for Introductory Circuit Analysis
13th Edition
ISBN: 9780133923780
Author: Robert L. Boylestad, Gabriel Kousourou
Publisher: PEARSON
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Textbook Question
Chapter 10, Problem 19P
For the circuit in Fig. 10.94, composed of standard values:
a. Determine the time constant of the circuit.
b. Write the mathematical equation for the voltage
c. Determine the voltage
d. Write the equations for the current i and the voltage
e. Sketch the waveforms for
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dny
dn-1y
dn-1u
dn-24
+a1
+
+ Any
=
bi
+b₂-
+ +bnu.
dtn
dtn-1
dtn-1
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a) Let be a root of the characteristic equation
1
sn+a1sn-
+
+an
= : 0.
Show that if u(t) = 0, the differential equation has the solution y(t) = e\t.
b) Let к be a zero of the polynomial
b(s) = b₁s-1+b2sn−2+
Show that if the input is u(t)
equation that is identically zero.
=
..
+bn.
ekt, then there is a solution to the differential
For step a), use equations (2) to find the equation for the input impedance
equations (2) are V1 = jwL1I1 + jwMI2 and V2 = jwMI1 + jwL2I2
equation for the input impedance: Z1 = V1/I1 = jwL1 + (wM)2/(jwL2 + ZL)
Chapter 10 Solutions
Laboratory Manual for Introductory Circuit Analysis
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