TUTORIAL 8 SOLUTIONS
Q1Ans:
Figure 1 can be redrawn as follows:
3A
Current through 80resistor is 3*(20/100) = 3/5A.
20
80
Hence current through 150 resistor
will be 3/5*(50/200) = 3/20A.
Hence V = 3/20*150=22.5V

(1)
Figure 2 can be redrawn as:
Current t
EC 1010
TUTORIAL 5
1. Find the value of R in the circuit such that maximum power transfer takes place. What
is the amount of this power? (All resistor values in Ohm)
1
4V
5
R
1
2
6V
2. What should be the value of R such that maximum power transfer takes
TUTORIAL11 SOLUTIONS
1 Sol:
2 Sol: The impedance magnitude is
Z = V/I = 120/0.5 = 240 .
The impedance angle is power factor angle
= cos 1(0.7) = 45.57 .
Hence, from (1) and (2), the coil impedance is
Z = 168 + j171.4 .
From (3),
Coil resistance R = 168
EC1010 Electrical and Magnetic Circuits
Tutorial 9
Date: 12/03/10
Q1. What is the average power absorbed by a circuit component that has a voltage of
V=6 Sin(377t+10) and a current of I = 0.3 sin (377t  20 ) A?
Q2. Find the phase relations for the follow
1: Find the current through 100k resistor in figure 1, using nodal method.
20K
30k
20V
V1
120k
100k
50V
V2
Figure 1: Question 1
2: In the following circuit, find the current through 1k resistor.
2k
2k
5V
2k
1k
2A
Figure 2: Question 2
3: Find current throu
EC1010
TUTORIAL6
1 Determine which of the five sources are being charged(absorbing positive power) and show that algebraic sum
of five absorbed power values is zero
2 The resistance of a conductor having length l and a uniform crosssectional area A I s
EC1010
TUTORIAL4
Linearity(Solve using Superposition):
1
Find Vo
2
Find Io
3
Find Io
Source Transformation:
4 Consider the circuit shown in Figure. Find the value of the voltage measured by
the voltmeter using Source transformation.
5 Consider the circui
TUTORIAL 12 SOLUTIONS
1Sol:
We can apply the given results to the deltaconnected load.
(a) The total real or average power is
PT = P1 + P2 = 1560 + 2100 = 3660 W
The perphase average power is then
Pp = 1/3*PT = 1220 W
(b) The total reactive power is
QT
EC1010: Electrical and
Magnetic Circuits
Introduction
Nagendra Krishnapura
Dept. of EE, IIT Madras
th
17 January 2013
nagendra@iitm.ac.in
EC1010: Moodle page
www.ee.iitm.ac.in/courses/ec1010_2013/start
What are E & M Circuits?
Electrical Circuits:
Interco
EC1010 Electrical & Magnetic Circuits
TUTORIAL11
Date 07042010
1. The voltage across a load is v(t) = 60 cos(t 10) V and the current through the element in
the direction of the voltage drop is i(t) = 1.5 cos(t +50) A. Find: (a) the complex and apparent
EC1010
Electrical and Magnetic Circuits
Tutorial 3
Problems on super nodes
Q1. Find the current passing through the 5V battery (solve using super nodes)
Q2. Solve for the current io using super nodes
Q3. Solve for the current io using super nodes
Date: 29
EC1010 ELECTRICAL AND MAGNETIC CIRCUITS
TUTORIAL13
Date 21042010
3) Find the Yparameters of the circuit in Figure a and the Pi equivalent of the circuit in Figure b.
Fig a
Fig b
4) Find the Yparameters of the twoport network in Fig. Find the Pi equi
Tutorial 6 Solutions
1
Note that in the table below, only the 4A source and the 3A source are actually
absorbing power; the remaining sources are supplying power to the circuit.
Source
Absorbed Power
Absorbed Power
2V source
(2 V)(2 A)
 4W
8V source
TUTORIAL 10 SOLUTIONS
1 answer:
The circuit can be redrawn, using source transformation, as follows
8
40cos25t
3
j4
Reactance offered by the capacitor:
Xc
1
j
j 4 .
jC 25 10m
Hence, current flowing through the circuit will be
I
400
400
3.420 A .
11 j
EC1010 Electrical and Magnetic Circuits
Tutorial 8
Date: 05/03/10
Problems on reciprocity Theorem:
Q1.a: Determine voltage V in figure 1.
Figure 1: Question 1.a
Q1.b: Show that reciprocity applies to the circuit in figure 1 by finding voltage V in
figure
TUTORIAL 4 SOLUTIONS
4) Consider the circuit shown in Figure. Find the value of the voltage measured by the
voltmeter using Source transformation.
Solution: The voltmeter measures the voltage across 4 resistor. (The colorcoded
probes of the voltmeter ind
EC1010
TUTORIAL 7
1) Consider the circuit below. The op amps in the circuit are ideal.
a) Identify the resistors that have no effect on voltages in the circuit.
b) Find the voltages V1, V2, V3, V4, V5 and Vo
2) Assume ideal Op amps in circuit. Calculate v
Department of Electrical Engineering
Indian Institute of Technology, Madras
EC 101 : Electrical and Magnetic Circuits
Tutorial Sheet No.10
19.03.2010
1. The circuit shown below has reached steadystate conditions. Find the power
being absorbed by each of
EC1010 Electrical and Magnetic Circuits
Tutorial 1
Date: 08/01/10
1. Fill in the blanks:
(a)The Kirchhoffs voltage law and current law are nothing but conservation of _
and _, respectively.
(b)Write KCL equations for the below circuit.
3
R
3
+
+
VA
_
6
6
TUTORIAL 9 SOLUTIONS
Q1:
The average power is, of course, the average value of the instantaneous power P:
P = VI = [6 sin (377t + 10)] [0.3 sin (377t  20) ]
= 1.8 sin (377t + 10) sin (377t  20) W
P = 0.5[1.8 Cos (377t + 10  377t + 20)  1.8 Cos (377t +
EC1010 TUTORIAL 5
Maximum Power Transfer
Use circuit given here and not as
shown in problem sheet.
Hence R= 1.765
and Pmax =
= 19.22W
Operational Amplifiers
5. Use the circuit below to answer the following questions. The op amp is ideal.
a)
b)
c)
d)
Solv
Tutorial 3 Solutions
2)
Q4)
Q5)
Q6)
Q7)
Q8)
Q9)
Q10) Find the voltage V of the circuit using superposition theorem.
Solution:
a) Lets consider the current source first,
b) Now find the effects of the voltage source with the current source as an open circu