- #1

fight_club_alum

- 63

- 1

- Homework Statement
- 23. In the figure, if I = 80 mA, determine the resistance R

- Relevant Equations
- Kirchoff's law

I assumed the current flows from the 20V so,

20V - 100 (i1) - Ri2 = 0

First loop

20V = 100i1 + Ri2

Second loop

+Ri2 + 40V - 200(0.08) = 0

Ri2 = -24

Back to equation 1

20 v = 100i1 + (-24)

therefore, i 1 = 0.44

For loop two:

i1 - i2 = i3

0.44 - i2 = 0.08

therefore i2 = 0.36 ohms

So, if R i2 = -24

R (0.36) = -24

R = -66.6666667 ohms

This is none of the choices and the answer key says d

Someone please help