Nodal analysis worksheet with answers

Free printable Nodal analysis worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

Use nodal analysis to find the current I_R3 through R₃ in the direction of the arrow.

V₁ = 6 VV₂ = 6 VR₁ = 3 ΩR₂ = 10 ΩR₃ = 4 Ω

I_R3 = A

2.Easy

Use nodal analysis to find the node voltage V_A (measured from ground).

V₁ = 15 VV₂ = 24 VR₁ = 4 ΩR₂ = 6 ΩR₃ = 6 Ω

V_A = V

3.Medium

Use nodal analysis to find the power P_Is delivered by the current source I_s.

V₁ = 10 VI_s = 1 AR₁ = 4 ΩR₂ = 10 ΩR₃ = 5 ΩR₄ = 15 Ω

P_Is = W

4.Medium

Three branches are connected between node A and ground, as shown. Use nodal analysis to find the current I₁ in branch 1, flowing up into node A in the direction of the arrow.

V₁ = 24 VR₁ = 4 ΩV₂ = 12 VR₂ = 5 ΩV₃ = 9 VR₃ = 15 Ω

I₁ = A

5.Hard

The diamond is a voltage-controlled current source that pushes a current of 0.5·V_A (in A, with V_A in V) up into node B. Use nodal analysis to find the current I_R4 through R₄ in the direction of the arrow.

V₁ = 36 VR₁ = 2 ΩR₂ = 6 ΩR₃ = 3 ΩR₄ = 2 Ωg = 0.5 A/V

I_R4 = A

6.Hard

Use nodal analysis to find the node voltage V_B (measured from ground).

V₁ = 24 VI_s = 2.5 AV₂ = 10 VR₁ = 2 ΩR₂ = 25 ΩR₃ = 20 ΩR₄ = 10 ΩR₅ = 2 Ω

V_B = V

Answer key

1. I_R3 = 0.9512 A
2. V_A = 13.29 V
3. P_Is = 9.844 W
4. I₁ = 3.968 A
5. I_R4 = 13.5 A
6. V_B = 6.769 V

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