Spring 2013

EXPERIMENT

Maximum Power Transfer Theorem

Course: EEE 141

Section: 1

Faculty: MAA

Instructor: RKK

Date of performance: 23rd March 2013

Date of submission: 25th March 2013

Group – 6

|# |Name |ID | |1 |Md. Al Kaiser |1230032043 | |2 |Noor Al Din Ahmed |1310607043 | |3 |Raihan Gafur |1231062500 | |4 |MM. Ahsan Ullah Nayem |1310230643 | |5 |Khan Ismam Sakib |1311477043 | Objective:

Verify Maximum power transfer by obtaining the Thevenin equivalent resistance (RTh) for the given voltage.

Introduction:

One of the main uses of Thevenin’s theorem is the replacement of a large part of a circuit, often a complicated and uninteresting part, by a very simple equivalent. The new simpler circuit enables us to make rapid calculations of the voltage, current, and power which the original circuit is able to deliver to a load. It also helps us to choose the best value of this load resistance for maximum power transfer.

Theory:

Maximum Power Transfer Theorem states that an independent voltage source in series with a resistance RS or an independent current source in parallel with a resistance RS, delivers a maximum power to that load resistance RL for which RL = RS.

In terms of a Thevenin Equivalent Circuit, maximum power is delivered to the load resistance RL when RL is equal to the Thevenin equivalent resistance RTH of the circuit.

The Law:

In order for a load to achieve maximum power transfer, it has to satisfy the following equation. RTH = RL

Apparatus:

i.Trainer Board

ii.Fixed Resistors (1K, 3.3K & 4.7K)

iii.Variable Resistor

iv.Wires

v. One Variable DC source

vi.Digital Multi Meter

Procedure:

i. Construct the circuit as given in the circuit diagram using the following component values. R1= 1K

R2= 3.3K

R3= 4.7K

RL= 0.5K – 10K

VS= 10V

ii. Remove load resistance, short circuit voltage source and then measure the total resistance across point a and b using a DMM to find RTH.

iii. Reconnect the voltage source.

iv. Connect the variable resistor after setting the value to 0.5K at point a and b.

v. Take down the values of VL and RL and calculate PL.

vi. Disconnect the variable resistor, increase the resistance value to +0.5K and repeat step iv and v till 10K.

[pic]

Circuit Diagram

DATA SHEET:

Measurement of Resistance:

| |R1 |R2 |R3 |RTH | |Calculated |1K |3.3K |4.7K |2.94K | |Measured |0.99K |3.33K |4.66K |2.94K |

Measurement of Power across RL:

|#Ob |RL(KΩ) |VL(V) |PL(µW) | |1 |0.50 |0.65 |838.3 | |2 |1.02 |1.22 |1459.2 | |3 |1.50...