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Exp 5

This document describes an experiment to verify the compensation theorem and Millman's theorem. The compensation theorem states that any element in a linear, bilateral network can be replaced by a voltage source equal to the current through the element multiplied by the change in resistance. The experiment measures currents before and after changing a resistor to verify this. Millman's theorem states that parallel voltage sources can be replaced by an equivalent voltage source and resistance. The experiment connects parallel voltage sources and measures the total voltage to verify Millman's theorem. The learning outcomes are to understand and apply these theorems through experimental verification.

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akshithadharmasoth
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109 views4 pages

Exp 5

This document describes an experiment to verify the compensation theorem and Millman's theorem. The compensation theorem states that any element in a linear, bilateral network can be replaced by a voltage source equal to the current through the element multiplied by the change in resistance. The experiment measures currents before and after changing a resistor to verify this. Millman's theorem states that parallel voltage sources can be replaced by an equivalent voltage source and resistance. The experiment connects parallel voltage sources and measures the total voltage to verify Millman's theorem. The learning outcomes are to understand and apply these theorems through experimental verification.

Uploaded by

akshithadharmasoth
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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7.

VERIFICATION OF COMPENSATION THEOREM AND MILLMAN’S THEOREM

PART (A):

AIM: To verify the compensation theorem and to determine the change in current.
APPARATUS:
NAME RANGE QUANTITY
Bread Board
Resistors 1K 3 No.s
560  1 No
Ammeter (0-25mA ) 2 Nos
THEORY:
Compensation Theorem:
Compensation theorem states that any element in the linear ,bilateral network can be replaced
by a voltage source of magnitude equal to the current passing through the element multiplied
by the value of current , provided the currents and voltages of the other parts of the circuit
remain unaltered. This theorem is useful in finding the changes in current or voltage when the
value of resistance is changed in the circuit. If the resistance of any branch of a network is
changed from R to (R+▲R) where the current flowing in that branch originally is I, the
change of current in the other branches can be calculated by placing a voltage source of the
value I(▲R) in the modified branch with all the other sources made ineffective. This theorem
is particularly useful in analyzing the networks where the values of the branch elements are
varied and for studying the effect of tolerance on such values.

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CIRCUIT DIAGRAM:

PROCEDURE:
1. Connect the circuit as shown in CIRCUIT-1, Note down the values of I1 and I2
using milli ammeters.
2. Connect the circuit as shown in CIRCUIT-2, Note down the value of I’2.
3. Connect the circuit as shown in CIRCUIT-3, where VC(Compensating voltage) =
( I’2 - I2) 560 
4. Note down the reading of ammeter as I.
5. If I = I’2 - I2 , Compensating Theorem is verified.

OBSERVATIONS:

Calculated Measured
I1 I2 I’1 I’2 VC
I I
(mA) (mA) (mA) (mA) (v)
(mA) (mA)

RESULT:

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PART (B):

AIM: To verify the Millman’s Theorem.


APPARATUS:
NAME RANGE QUANTITY
Bread Board
Resistors 1.8 KΩ 3 No.s
Voltmeter (0-20)V 1 No
STATEMENT:
This theorem states that in any network, if the voltage sources V 1,V2,…….,Vn in series with
their internal resistances R1,R2,…. ,Rn respectively are in parallel, then these sources may be
replaced by a single voltage source, V eq in series with a single resistance, R eq. where,

𝑉1 𝐺1 + 𝑉2 𝐺2 + … … + 𝑉𝑛 𝐺𝑛
𝑉𝑒𝑞 =
𝐺1 + 𝐺2 + … … + 𝐺𝑛

Where Gn is the conductance of nth branch and


1
𝑅𝑒𝑞 =
𝐺1 + 𝐺2 + … … + 𝐺𝑛

CIRCUIT DIAGRAM:

PROCEDURE:
1. Connect the circuit as shown in CIRCUIT-1 and Note down the reading of voltmeter as
VL1.
2. Connect the equivalent circuit as shown in CIRCUIT-2 , by calculating
𝑉1 𝐺1 +𝑉2 𝐺2 1
3. 𝑉𝑒𝑞 = and 𝑅𝑒𝑞 = 𝐺
𝐺1 +𝐺2 1 +𝐺2

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4. Note down the reading of the voltmeter as V L2.
5. If V L1 = V L2, the Millman’s Theorem is verified.

OBSERVATIONS:
V L1 V L2
(V) (V)

RESULT:

LEARNING OUTCOMES:

S.
Marks
No Parameter Max. Marks
Obtained
.
Observations and analysis
1 5
including learning Outcomes

Completion of experiment,
2 5
Discipline and Cleanliness

Total marks
Signature of Faculty
obtained

REVIEW QUESTIONS:
1. What is Compensation theorem?
2. Is it possible to apply compensation theorem to ac as well as dc circuit?
3. State Millman’s theorem.
4. State application of Millman’s theorem
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