Lecture 3
Series Circuits,
Kirchhoffs Voltage Law
Circuit analysis I
Instructor Dr. Viktor Zaharov
1
Series Circuits
An electric circuit is the combination of any
number of sources and loads connected in any
manner which allows charge to flow.
The most
Circuito RC
En los temas anteriores hemos trabajado con circuitos en los cules la corriente no vara con el
tiempo. El circuito de la siguiente figura es un circuito RC en serie:
Est compuesto de una resistencia en serie con un capacitor de placas paralela
EE2000, Ex2 Dry Run Solution
Problem 1. (15 points).
For the network:
a. Convert the current source and 6.8 resistor to a
voltage source.
b. Find the magnitude and direction of the current I1.
c. Find the voltage Vab.
Problem 2. (15 points). Using mesh an
EE2000 (EE3000). Ex1, Dry Run
Name _
Problem 1. (5 points). How many electrons pass through a conductor in 1 min if the current is 1 A?
Problem 2. (5 points). For how many hours a battery with an rating of 32 Ah provide a current of 1.28 A?
Problem 3. (10
Lecture 10
AC Circuits
Circuit analysis I
Instructor Dr. Viktor Zaharov
1
IMPEDANCE AND THE PHASOR DIAGRAM
For the purely resistive circuit
Applying Ohms law and using phasor algebra, we have
Since i and v are in phase, the angle associated with i also
Lecture 9
Alternative Current
Circuit analysis I
Instructor Dr. Viktor Zaharov
1
Sinusoidal AC
2
GENERAL FORMAT FOR THE SINUSOIDAL
VOLTAGE OR CURRENT
3
PHASE RELATIONS
4
5
EXAMPLE 9.1 What is the phase relationship between given
sinusoidal waveforms
i lea
Lecture 8. Problems solution
Problem4.Forthenetwork
a.Determinetheenergystoredbyeachcapacitorundersteadystate
conditions.
b.Repeatpart(a)ifthecapacitorsareinseries.
Consider the circuit.
Find the current ic and Vc after
2
of switching on
FindthecurrentsI1
Lecture 8
Capacitance and Inductance
Circuit analysis I
Instructor Dr. Viktor Zaharov
1
Capacitance
A capacitor consists of two conductors separated by an insulator.
a capacitor can
store charge
2
The capacitance of a capacitor is one farad if it stores
Lecture 7
Network Theorems
Circuit analysis I
Instructor Dr. Viktor Zaharov
1
Superposition Theorem
The superposition theorem is a method which allows us to
determine the current through or the voltage across any resistor
or branch in a network.
The adv
Lecture 6
Methods of Circuits Analysis:
NODAL ANALYSIS
Circuit analysis I
Instructor Dr. Viktor Zaharov
1
NODAL ANALYSIS (GENERAL APPROACH)
We employ Kirchhoffs Current Law to develop a method referred
to as nodal analysis.
A node is defined as a juncti
Lecture 6
Problems solution.
Bridge and Delta-Wye
networks
Circuit analysis I
Instructor Dr. Viktor Zaharov
1
Problem 1. Given the circuit of Figure , find the total resistance, RT ,
and the total current, I.
2
Problem 2 . Solve for the currents through R
Lecture 6. Problem solution. Nodal Analysis
Problem1 . Determine the nodal voltages for the circuit
Problem 2. Use nodal analysis to find the nodal voltages for the circuit. Find the current through R1.
Problem 3. Use nodal analysis to find the nodal volt
Lecture 5. Practice ptoblems
Problem 1. Write the mesh
equations for the network. Find
the currents on each branch
Problem 2. Find the current through the each branch of the network
Lecture 5
Methods of Circuits Analysis:
Mesh (Loop) Analysis
Circuit analysis I
Instructor Dr. Viktor Zaharov
1
CURRENT SOURCES
A battery supplies a fixed voltage,
and the source current can vary.
The current source supplies a
fixed current to the branc
Lecture 4
PARALLEL CIRCUITS,
Kirchhoffs Current Law
Circuit analysis I
Instructor Dr. Viktor Zaharov
1
Resistors in Parallel
Two elements, branches, or networks are in parallel if they
have two points in common
Different ways in which three parallel elem
Problem 5.
For the network of Fig.
determine the voltages:
a. Va, Vb, Vc, Vd
b. Vab, Vcb, Vcd
c. Vad, Vca
Problem 6. Given the information appearing in Figure, find the level
of resistance for R1 and R3.
Design the voltage divider such
that VR1 = (1/5)VR2