Table of contents

27. Resistors & DC Circuits

Kirchhoff's Junction Rule

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Multiple Choice

In the figure, $I_{\nega} = 12$ and $I_{b} = 8.0 A$ . What are $I_{c}$ and $I_{d}$ ?

I_{c} = 12 A

I_{c} = 8.0 A

I_{c} = 4 A

I_{c} = 8.0 A

I_{c} = 12 A

I_{c} = 12 A

I_{c} = 8.0 A

I_{c} = 8.0 A

I_{c} = 4.0 A

I_{c} = 12 A

Verified step by step guidance

First, identify the currents given in the problem: Iₐ = 12 A and I_b = 8.0 A. These currents are entering the junction.

Apply Kirchhoff's Current Law (KCL), which states that the sum of currents entering a junction must equal the sum of currents leaving the junction.

In the figure, Iₐ and I_b are entering the junction, while I_c and I_d are leaving the junction. Therefore, according to KCL, Iₐ + I_b = I_c + I_d.

Substitute the known values into the equation: 12 A + 8.0 A = I_c + I_d.

Solve the equation for I_c and I_d. You can use the given options to determine the correct values for I_c and I_d that satisfy the equation.

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Expert video explanations

In the figure, I¬a=12and Ib=8.0 ⁢A. What are Ic and Id?