- #1
DevonZA
- 181
- 6
Homework Statement
Homework Equations
The Attempt at a Solution
1.
2. i) Use mesh analysis to solve for circulating currents I1 and I2.
ii) What is the current dissipated by resistor R1?
iii) What is the potential difference across resistor R3?
3
i)
.
Loop ABEFA
E1-I1RI-(I1-I2)R3=0
10-10I1-40(I1-I2)=0
-50I1+40I2=-10
50I1-40I2=10 ... EQUATION 1
Loop BCDEB
-I2R3-I1R3-I2R2-E2=0
-40I2-40I1-20I2-I2=0
-40I1-60I2=12 ... EQUATION 2
EQ 1 X 4 = 200I1-160I2=40
EQ 2 X 5 = -200I1-300I2=60 +[/B]
= -460I2=100
I2=-0.217A
Substitute I2 into equation 1: 50I1-40(-.217)=10
I1=0.0264Aii) I=V/R
= 10/10
=1A
iii) I3=I1+I2 (KCL)
=(0.0264)+(-0.217)
= -0.1906AVR3 = I3xR3
= -0.1906x40
= -7.624V