Mesh analysis worksheet with answers

Free printable Mesh 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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Name: ____________________   Date: ____________

1.Easy
R1​ = 10 ΩR2​ = 8 Ω+−V1​18 VR3​6 ΩAR4​12 ΩBI1​I2​

Use mesh analysis to find the mesh current I1 (clockwise).

V1 = 18 VR1 = 10 ΩR2 = 8 ΩR3 = 6 ΩR4 = 12 Ω
I1 = A
2.Easy
R1​ = 4 ΩR2​ = 8 Ω+−V1​8 VR3​2 ΩAR4​4 Ω+−VR4​BI1​I2​

Use mesh analysis to find the voltage VR4 across R4 with the polarity shown.

V1 = 8 VR1 = 4 ΩR2 = 8 ΩR3 = 2 ΩR4 = 4 Ω
VR4 = V
3.Medium
R1​ = 2 ΩR2​ = 15 Ω+−V1​6 VR3​5 ΩIR3​A+−V2​9 VI1​I2​

Use mesh analysis to find the current IR3 through R3 in the direction of the arrow.

V1 = 6 VV2 = 9 VR1 = 2 ΩR2 = 15 ΩR3 = 5 Ω
IR3 = A
4.Medium
R1​ = 6 Ω+−VR1​R2​ = 8 Ω+−V1​10 VR3​2 ΩA+−V2​10 VI1​I2​

Use mesh analysis to find the voltage VR1 across R1 with the polarity shown.

V1 = 10 VV2 = 10 VR1 = 6 ΩR2 = 8 ΩR3 = 2 Ω
VR1 = V
5.Hard
R1​ = 2 ΩIR1​R2​ = 20 ΩR3​ = 5 Ω+−V1​18 VR4​10 ΩAR5​10 ΩB+−V2​10 VI1​I2​I3​

Use mesh analysis to find the current IR1 through R1 in the direction of the arrow.

V1 = 18 VV2 = 10 VR1 = 2 ΩR2 = 20 ΩR3 = 5 ΩR4 = 10 ΩR5 = 10 Ω
IR1 = A
6.Hard
R1​ = 10 ΩR2​ = 8 ΩIR2​R3​ = 3 Ω+−V1​36 VR4​6 ΩAR5​30 ΩB+−V2​36 VI1​I2​I3​

Use mesh analysis to find the current IR2 through R2 in the direction of the arrow.

V1 = 36 VV2 = 36 VR1 = 10 ΩR2 = 8 ΩR3 = 3 ΩR4 = 6 ΩR5 = 30 Ω
IR2 = A

Answer key

  1. 1. I1 = 1.232 A
  2. 2. VR4 = 0.8 V
  3. 3. IR3 = 0.9391 A
  4. 4. VR1 = 6.316 V
  5. 5. IR1 = 1.778 A
  6. 6. IR2 = −1.328 A

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