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a) Determine the currents I 1 , I 2 , and I 3 in the above figure. Assume the in

ID: 2105417 • Letter: A

Question


a) Determine the currents I1, I2, and I3 in the above figure. Assume the intermal resistance of each battery is r = 1.25Ω.

b) What is the terminal voltage of the 6.0-V battery?


Please give solution as well as answer for full points

Explanation / Answer

a) uper loop: -12*x + 12 - 1.25*x - 8*x + 12 - 1.25*y - 10*y = 0, ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- bottom loop: 12 - 1.25*y - 10*y + 18*z + 1.25*z - 6 + 15*z = 0, ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- KCL: x = y + z ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- ==> I1 = x = 0.758 A ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- ==> I2 = y = 0.702 A ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- ==> I3 = z = 0.055 A ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- b) Vt = 6 - 1.25*0.0555 = 5.93 A ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

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