The magnitudes of the current density and the diameters for wires 1 and 2 are given in the table. The current directions are indicated by the arrows.
Find the current I3 in wire 3.
Express your answer in amperes to two significant figures. Call current out of the junction positive and current into the junction negative.
Wire | Current density (A/mm2) |
Diameter (mm) |
1 | 2.1 | 1.7 |
2 | 3.9 | 2.4 |
current in wire 1 = I1 = current density * Area
I1 = 2.1*(pi*(1.7/2)^2) = 4.77 A
current in wire 2 = I2 = 3.9*(pi*(2.4/2)^2) = 17.65 A
kirchhoff law at juction point
I1 = I2 + I3
I3 = I1 - I2 = 4.77 - 17.65 = - 12.88 A
The negative sign indicates that I3 is entering the juction
The magnitudes of the current density and the diameters for wires 1 and 2 are given...
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