Analogu3 Beat

2021 Solution 04

Isaac P Abraham
2020 Dec 25
True or False. The efficiency of an Thévenin circuit composed of
V
TH
,
R
TH
and
R
L
where
R
L
is the load resistor, is better when
R
L
>>
R
TH
.
In[]:=
PWROUT=
2
VL
RL
;
In[]:=
PWRIN=
2
V
RL+RTH
;
In[]:=
VL=V
RL
RL+RTH
;
In[]:=
EFFICIENCY=
PWROUT
PWRIN
Out[]=
RL
RL+RTH
We can see that as the load resistance increases the efficiency of power transfer increases.
In[]:=
Limit[EFFICIENCY,RLInfinity]
Out[]=
1
True.
Ref: Valerii Ilyushchenko (translated by V.N. Lange), "Science for everyone", Mir Publishers, Moscow, USSR.