In the figure, calculate the potential difference between points c and d by as m
ID: 1345816 • Letter: I
Question
In the figure, calculate the potential difference between points c and d by as many paths as possible. Assume that ?1 = 7.7 V, ?2 = 1.0 V, R1 = R2 = 10 ?, and R3 = 5 ?.
This is my second time asking this question. The first answer I was given was incorrect and I have tried to figure it out using similar problems as a guideline.
The answer is NOT 5.0V, 5.03V, 5.03mV, 85.06mV, 85.06V, 4.66mV or 4.66V. Please help and show calculations. Also, please type calculations because I have trouble reading the handwritten solutions. Thank you!!
Explanation / Answer
going along the loop badb
e1 - I1*R1 + I3*R3 = 0
7.7 - I1*10 + I3*5 = 0.................(1)
going along the path cbdc
-e2 - I3*R3 - I2*R2 = 0
-1 - I3*5 - I2*10 = 0 .................(2)
at b
I2 = I1 + I3 ....................(3)
I1 = 0.1175 A
I2 = 0.5525 A
I3 = -0.435 A
Vcd = I2*R2 = 0.5525*10 = 5.525 v <<------answer