Delmar's Standard Textbook of Electricity (MindTap Course List)
6th Edition
ISBN: 9781285852706
Author: Stephen L. Herman
Publisher: Cengage Learning
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Chapter 9, Problem 1RQ
To determine
Kirchhoff’s Voltage law
Expert Solution & Answer
Answer to Problem 1RQ
Refer Fig 9-1.
According to Kirchhoff’s voltage law, the algebraic sum of thevoltage drops and voltage sources around any closed loop must equal zero.
Explanation of Solution
Kirchhoff ’s laws offer the flexibility to solve any type of circuit, especially the circuits with more than one source of power. The laws are applicable for series, parallel as well as series parallel connections.
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a) Let be a root of the characteristic equation
1
sn+a1sn-
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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
dny
dn-1y
dn-1u
dn-24
+a1
+
+ Any
=
bi
+b₂-
+ +bnu.
dtn
dtn-1
dtn-1
dtn-2
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 9 Solutions
Delmar's Standard Textbook of Electricity (MindTap Course List)
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