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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1.Easy
R1​ = 10 ΩR2​ = 4 Ω+−V1​24 VR3​8 Ω+−VR3​AR4​6 ΩBI1​I2​

Use mesh analysis to find the voltage VR3 across R3 with the polarity shown.

V1 = 24 VR1 = 10 ΩR2 = 4 ΩR3 = 8 ΩR4 = 6 Ω
VR3 = V
2.Easy
R1​ = 3 ΩR2​ = 2 Ω+−V1​15 VR3​3 ΩIR3​AR4​3 ΩBI1​I2​

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

V1 = 15 VR1 = 3 ΩR2 = 2 ΩR3 = 3 ΩR4 = 3 Ω
IR3 = A
3.Medium
R1​ = 5 ΩR2​ = 8 Ω+−V1​9 VR3​4 ΩA+−V2​6 VI1​I2​

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

V1 = 9 VV2 = 6 VR1 = 5 ΩR2 = 8 ΩR3 = 4 Ω
I1 = A
4.Medium
R1​ = 10 ΩR2​ = 15 Ω+−V1​9 VR3​2 ΩA+−V2​30 VI1​I2​

Use mesh analysis to find the mesh current I2 (clockwise).

V1 = 9 VV2 = 30 VR1 = 10 ΩR2 = 15 ΩR3 = 2 Ω
I2 = A
5.Hard
R1​ = 4 Ω+−VR1​R2​ = 10 ΩR3​ = 20 Ω+−V1​6 VR4​10 ΩAR5​5 ΩB+−V2​9 VI1​I2​I3​

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

V1 = 6 VV2 = 9 VR1 = 4 ΩR2 = 10 ΩR3 = 20 ΩR4 = 10 ΩR5 = 5 Ω
VR1 = V
6.Hard
R1​ = 4 ΩR2​ = 3 Ω+−VR2​R3​ = 8 Ω+−V1​15 VR4​20 ΩAR5​4 ΩB+−V2​12 VI1​I2​I3​

Use mesh analysis to find the voltage VR2 across R2 with the polarity shown.

V1 = 15 VV2 = 12 VR1 = 4 ΩR2 = 3 ΩR3 = 8 ΩR4 = 20 ΩR5 = 4 Ω
VR2 = V

Answer key

  1. 1. VR3 = 7.385 V
  2. 2. IR3 = 1.923 A
  3. 3. I1 = 0.913 A
  4. 4. I2 = −1.71 A
  5. 5. VR1 = 2.136 V
  6. 6. VR2 = 2.833 V

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