Kirchhoff's Junction Rule Video Lessons

Concept

# Problem: Consider the juncion of three wires as shown in the diagram. (Figure 1)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.WireCurrent density(A/mm2)Diameter(mm)13.11.624.92.8Find 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.

###### FREE Expert Solution

Kirchhoff's junction rule:

$\overline{){\mathbf{\Sigma }}{{\mathbf{I}}}_{\mathbf{i}\mathbf{n}}{\mathbf{=}}{\mathbf{\Sigma }}{{\mathbf{I}}}_{\mathbf{o}\mathbf{u}\mathbf{t}\mathbf{}}}$

I1 + I3 = I2

Current density, J = I/A

I = JA

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###### Problem Details

Consider the juncion of three wires as shown in the diagram. (Figure 1)

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.

 Wire Current density(A/mm2) Diameter(mm) 1 3.1 1.6 2 4.9 2.8

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.

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Kirchhoff's Junction Rule concept. You can view video lessons to learn Kirchhoff's Junction Rule. Or if you need more Kirchhoff's Junction Rule practice, you can also practice Kirchhoff's Junction Rule practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Vyvyan's class at WWU.