Register to reply

Maximum Power Transferred

by salman213
Tags: maximum, power, transferred
Share this thread:
salman213
#1
Jul10-08, 11:39 AM
P: 303
1.

3.
Pmax = Vth^2/4Rth

so im guessing i treat R as the Rth and find Rth.

to find Rth i must turn off all independent sources. Since the dependent source exists i added a one voltage source at the Rth terminals and put a current i which i will find. then i can use v=i*Rth to solve for Rth.

my mesh analysis equations:
Vx + 1 =0
-1 + i2 + 2Vx=0

therefore i2 = 3

2i3 + 1 =0
i3 =-1/2



i3 + i1 = i2

therefore

i1 = 1/2 + 3

i1 = 7/2


Rth = (1)/(7/2) = 2/7


now to find Vth

I used nodal analysis and mesh analysis both

1) (12-Vth)/2 = (Vth-2Vx)/1
2) -12 + Vx + Vth=0

Solving I found Vth = 15 V


Pmax = Vth^2/4Rth = (15)^2 / (4(2/7)) = 196.874 W



CAN SOMEONE PLEASE CHECK THAT!!!!!


thank you!!!!!!!!!!!!!!!!!!!!!!





Phys.Org News Partner Science news on Phys.org
'Office life' of bacteria may be their weak spot
Lunar explorers will walk at higher speeds than thought
Philips introduces BlueTouch, PulseRelief control for pain relief
Defennder
#2
Jul10-08, 09:53 PM
HW Helper
P: 2,616
I didn't get Vth to be 15V. I got [tex]8\frac{4}{7}[/tex]. But I got the same value for Rth.
salman213
#3
Jul11-08, 09:28 AM
P: 303
are my equations right?

for solving Vth?

1) (12-Vth)/2 = (Vth-2Vx)/1
2) -12 + Vx + Vth=0

salman213
#4
Jul11-08, 09:33 AM
P: 303
Maximum Power Transferred

1) (12-Vth)/2 = (Vth-2Vx)/1
2) -12 + Vx + Vth=0

vx= 12 - vth

(12-Vth)/2 = (Vth-2( 12 - vth))/1

12-Vth = 2Vth-48+4vth

12+48=vth+2vth+4vth
60=7vth

okk ur right its 8.5ish


ok kool


Register to reply

Related Discussions
Maximum torque, maximum power Introductory Physics Homework 8
Maximum Power Output of a Turbine Engineering, Comp Sci, & Technology Homework 3
Energy transferred Introductory Physics Homework 1
Maximum power/current for a battery? Introductory Physics Homework 3
How exactly is heat transferred? Classical Physics 2