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nostrilswelderElectronics - Devices

Oct 10, 2013 (3 years and 10 months ago)

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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


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㈲2



㈮㉫


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㈮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



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㄰1



㘮㡫






ㄲ1

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I


㘰6



㐷4






㡭8

㡭8

†††††
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㤲9



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㈮㍫





ㄲ1


ㄵ1

ㄱ流

††††
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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

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ㄮ㌠










††
R

噯汴慧V

畲ue


x


y

†††
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††
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

Analysis to find your answer. [Ans:
12 V
]







Figure Q11


5.1



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I


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†††
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ㄵ1



㐶4


††
㈵2



㔰⁖






㜰7



㐵4



㌠3

ㄲ⁖

V