Determine the value of maximum power, Electrical Engineering

Determine the value of maximum power:

Determine the value of load resistance, RL for which the source shall transfer the maximum power. Also determine the value of maximum power.

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Solution

Primary we apply the Thevenin theorem and draw the Thevenin's equivalent circuit. Eliminate the load resistance RL.

Calculation for VTH :

VTH = Open circuit voltage across load terminals AB, and

         = VAB

VAB  = VTH

= - 5 + 4 i

=- 5 + 4 ( 10/6)

= 1.66 Volt

Calculation for RTH :

Replace all of the sources by internal resistance. (Internal resistance of ideal voltage source is zero)

RTH       = RAB

= 2 // 4 + 6

= (2 × 4 )/(2 + 4) + 6

= 7.33 Ω

Thevenin's Equivalent Circuit

According to maximum power transfer theorem

RL  = RTH = 7.33 Ω

iL = 1.66 / (7.33 + 7.33) = 0.1132 Amp

Maximum power      Pmax =( i L )2 × RL

= 0.09398 Watts

= 93.98 m Watts

Posted Date: 2/5/2013 2:29:13 AM | Location : United States







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