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​ = 2 ΩIR1​R2​ = 3 Ω+−V1​6 VR3​4 ΩAR4​5 ΩBI1​I2​

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

V1 = 6 VR1 = 2 ΩR2 = 3 ΩR3 = 4 ΩR4 = 5 Ω
IR1 = A
2.Easy
R1​ = 6 ΩR2​ = 6 Ω+−V1​20 VR3​5 ΩAR4​8 Ω+−VR4​BI1​I2​

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

V1 = 20 VR1 = 6 ΩR2 = 6 ΩR3 = 5 ΩR4 = 8 Ω
VR4 = V
3.Medium
R1​ = 6 ΩR2​ = 20 Ω+−V1​24 VR3​20 Ω+−VR3​A+−V2​6 VI1​I2​

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

V1 = 24 VV2 = 6 VR1 = 6 ΩR2 = 20 ΩR3 = 20 Ω
VR3 = V
4.Medium
R1​ = 6 ΩR2​ = 4 Ω+−V1​18 VR3​5 ΩA+−V2​15 VI1​I2​

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

V1 = 18 VV2 = 15 VR1 = 6 ΩR2 = 4 ΩR3 = 5 Ω
I1 = A
5.Hard
R1​ = 5 ΩR2​ = 25 ΩR3​ = 2 Ω+−V1​9 VR4​3 ΩIR4​AR5​8 ΩB+−V2​10 VI1​I2​I3​

Use mesh analysis to find the current IR4 through R4 in the direction of the arrow.

V1 = 9 VV2 = 10 VR1 = 5 ΩR2 = 25 ΩR3 = 2 ΩR4 = 3 ΩR5 = 8 Ω
IR4 = A
6.Hard
R1​ = 12 Ω+−VR1​R2​ = 3 ΩR3​ = 8 Ω+−V1​18 VR4​25 ΩAR5​20 ΩB+−V2​6 VI1​I2​I3​

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

V1 = 18 VV2 = 6 VR1 = 12 ΩR2 = 3 ΩR3 = 8 ΩR4 = 25 ΩR5 = 20 Ω
VR1 = V

Answer key

  1. 1. IR1 = 1.286 A
  2. 2. VR4 = 4.348 V
  3. 3. VR3 = 16.13 V
  4. 4. I1 = 1.176 A
  5. 5. IR4 = 1.227 A
  6. 6. VR1 = 9.634 V

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