# Ω . [

Electronics - Devices

Oct 10, 2013 (4 years and 7 months ago)

88 views

Tutorial: Circuit Theorems

Q1.

In the circuit below (Figure Q1), determine the current through the 15

resistor
(I
15

) using the following methods:

a)

Mesh Current Analysis

b)

Nodal Voltage Analysis

c)

Thevenin or Norton Theorems

d)

Superposition Theorem

[Ans:
671.1 mA
]

Q2.

Using Mesh Current or Nodal Voltage Analysis,
find the voltage across

the 2.2
k

of Figure Q2
. [
Ans
:
821 mV
]

24 V

30

㈴2

ㄵ1

㈴2

㌶3

㌰⁖

䵥獨″

I
15

36 V

Mesh 1

Mesh 2

Figure Q1

1.5k

㔮㙫

㈲2

㈮㉫

㐮㝫

㈮㕖

F楧u牥⁑

Q3.

Use Nodal Voltage Analysis to find the current, I of Figure Q3. Check the answer
using Mesh Current Analysis
. [Ans:
746.9 μA
]

Q4.

Find the value of current through the 2.3 k

resistor in Figure Q4. [Ans:
1.55 mA
]

Q5.

Use any method to find the current of 12 k

of Figure Q5. [Ans:
969.7 μA
]

12k

㠮㉫

㄰1

㘮㡫

ㄲ1

F楧u牥⁑

I

㘰6

㐷4

㡭8

㡭8

†††††
F楧u牥

㤲9

ㄮ㝫

㈮㍫

ㄲ1

ㄵ1

ㄱ流

††††
F楧u牥⁑

Q6.

Find I in Figure Q6. Use any metho
d which is convenient for you. [Ans:
69 μA
]

Q7.

Apply Thevenin and Norton theorems to calculate the current in the 2 k

resistor
in the circuit shown below (Figure Q7). [Ans:
2 mA
]

Q8.

Determine the values of the currents I
1

and
I
2

in the circuit shown below (Figure
Q8).
[Ans:
3.67 mA, 1
.0 mA
]

82k

㈱2

†††
F楧u牥⁑

㐲4

430μA

㔶5

㌹3

㘷6

㠷8

I

㈴⁖

†††
F楧u牥⁑

ㄠ流

㈠2

㐠4

㐠4

㐠4

㐠4

㠠8

††††
F楧u牥⁑

㈴⁖

ㄲ1
k

㘠6

㔠5

㌠3

㌰⁖

I
1

I
2

Q9.

A battery having an emf of 50 V and an internal resistance of 25

is connected
to a network of resistors as shown in Figure Q9 below. Calculate:

(a)

the value of

the resistance between terminal A and B

(b)

the value of R
x

for maximum power transfer from the battery

(c)

the value of this maximum power

[Ans:
10

, 15

,
25 W
]

Q10.

A battery having an emf of 7 V and an internal resistance of 2

is connected to

a network of r
esistors as shown in Figure Q10 below. Calculate:

(a)

the value of the resistance between terminal x and y

(b)

the value of R for maximum power transfer from the battery

(c)

the value of this maximum power

[Ans:
1.3837

, 0.6163

, 6.125 W
]

1

㜠7

F楧u牥⁑㄰

ㄮ㔠

ㄮ㌠

††
R

x

y

†††
F楧u牥⁑

††
R
x

6

ㄵ1

㈵2

ㄲ1

㔰⁖

㌲3

㌰3

㐰4

††
B

††
A

Q11.

Determi
ne the current I from figure Q11 below. [Ans:
1 A
]

Q12.

A voltmeter is connected at the end of the circuit as shown in figure Q12. What

is the value of that

voltmeter, V going to be
? Use Mesh Current or Nodal

12 V
]

Figure Q11

5.1

㘮㈠

ㄱ⸸1

ㄵ⁖

㌮㤠

㈮㠠

㈮㈠

I

㄰⁖

ㄲ⁖

†††
F楧u牥⁑ㄲ

ㄵ1

㐶4

††
㈵2

㔰⁖

㜰7

㐵4

㌠3

ㄲ⁖

V