Maximum power transfer theorem

Maximum power transfer theorem

Theorem:

কোন ডিসি র্সোস হতে resistive load  এ সর্বোচ্চ power transfer হবে তখনই যখন লোড রেজিষ্টেন্স র্সোস এর সাথে mshy³ wmwiR †iwRó¨Ý ev †mvm© Gi B›Uvib¨vj †iwRó¨Ý Gi mgvb n‡e|GUvB maximum power transfer theorem.

Vs=Voltage Source

Rs=Ri=Internal source of resistance

RL=load resistance

IL=Load current

Now,

Load current IL=Vs/(Ri+RL)

Load power  PL=VIL={Vs/(Ri+RL) × Vs/(Ri+RL)}×RL

Maximum power transfer –

dPL/dRL= 0

d/dRL{(Vi×Vi)RL /(Ri+RL)×(Ri+RL) = 0

Vs×Vs[{(Ri+RL)×(Ri+RL)×1-RL 2(Ri+RL)}/(Ri+RL)×(Ri+RL)×(Ri+RL)×(Ri+RL)]=0

(Ri+RL)×(Ri+RL)×1-RL 2(Ri+RL) = 0.

Ri+RL -2RL =0

Ri=RL

A_Ge Maximum power transfer Gi Rb¨ †jvW †iwRó¨vÝ Aek¨B B›Uvib¨vj †iwRó¨Ý Gi mgvb n‡Z n‡e|

Maximrum power transfer condition:-

·         Ri=RL  (When RL is variable)

·         Ri have to minimum (When Ri is variable)