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​ = 12 Ω+−VR1​R2​ = 2 Ω+−V1​24 VR3​6 ΩAR4​12 ΩBI1​I2​

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

V1 = 24 VR1 = 12 ΩR2 = 2 ΩR3 = 6 ΩR4 = 12 Ω
VR1 = V
2.Easy
R1​ = 8 ΩR2​ = 12 Ω+−V1​8 VR3​6 Ω+−VR3​AR4​8 ΩBI1​I2​

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

V1 = 8 VR1 = 8 ΩR2 = 12 ΩR3 = 6 ΩR4 = 8 Ω
VR3 = V
3.Medium
R1​ = 12 ΩR2​ = 5 Ω+−V1​12 VR3​15 ΩA+−V2​6 VI1​I2​

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

V1 = 12 VV2 = 6 VR1 = 12 ΩR2 = 5 ΩR3 = 15 Ω
I2 = A
4.Medium
R1​ = 10 ΩR2​ = 8 Ω+−V1​6 VR3​6 ΩA+−V2​12 VI1​I2​

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

V1 = 6 VV2 = 12 VR1 = 10 ΩR2 = 8 ΩR3 = 6 Ω
I1 = A
5.Hard
R1​ = 3 ΩR2​ = 25 ΩR3​ = 8 Ω+−V1​30 VR4​15 ΩAR5​25 ΩB+−V2​18 VI1​I2​I3​

Use mesh analysis to find the mesh current I3 (clockwise).

V1 = 30 VV2 = 18 VR1 = 3 ΩR2 = 25 ΩR3 = 8 ΩR4 = 15 ΩR5 = 25 Ω
I3 = A
6.Hard
R1​ = 8 ΩR2​ = 6 ΩR3​ = 3 Ω+−V1​9 VR4​2 ΩAR5​25 Ω+−VR5​B+−V2​9 VI1​I2​I3​

Use mesh analysis to find the voltage VR5 across R5 with the polarity shown.

V1 = 9 VV2 = 9 VR1 = 8 ΩR2 = 6 ΩR3 = 3 ΩR4 = 2 ΩR5 = 25 Ω
VR5 = V

Answer key

  1. 1. VR1 = 17.78 V
  2. 2. VR3 = 2.927 V
  3. 3. I2 = 0.05714 A
  4. 4. I1 = 0.06383 A
  5. 5. I3 = −0.2889 A
  6. 6. VR5 = 6.411 V

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