Assume the resistance values are R 1 = 2,300 , R 2 = 1,500 , R 3 = 4,400 , and R
ID: 1439814 • Letter: A
Question
Assume the resistance values are
R1 = 2,300 , R2 = 1,500 , R3 = 4,400 , and R4 = 6,200 ,
and the battery emfs are
Use Kirchhoff's rules to analyze the circuit in the figure below.
(a) Let I1 be the branch current though R1, I2 be the branch current through R2, and I3 be the branch current through R3. Write Kirchhoff's loop rule relation for a loop that travels through battery 1, resistor 1, and resistor 3. (Use a clockwise current loop when entering your answer. Use any variable or symbol stated above as necessary.)
________ = 0
(b) Write Kirchhoff's loop rule relation for a loop that travels through battery 2, resistor 2, and resistor 3. (Use a clockwise current loop when entering your answer. Use any variable or symbol stated above as necessary.)
________ = 0
(c) Apply Kirchhoff's junction rule to the junction at A to get a relation between the three branch currents. (Use any variable or symbol stated above as necessary.)
I1 = _________
Explanation / Answer
a)
I1 R1 + I3 R3 - E1 = 0
2300 I1 + 4400 I3 - 1.5= 0
b)
I2 R2 + E2 - I3 R3 = 0
1500 I2 + 3 - 4400 I3 = 0
c)
I1 = I2 + I3