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​ = 2 Ω+−V1​15 VR3​8 ΩAR4​4 ΩIR4​BI1​I2​

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

V1 = 15 VR1 = 10 ΩR2 = 2 ΩR3 = 8 ΩR4 = 4 Ω
IR4 = A
2.Easy
R1​ = 2 ΩR2​ = 6 Ω+−V1​20 VR3​12 ΩIR3​AR4​4 ΩBI1​I2​

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

V1 = 20 VR1 = 2 ΩR2 = 6 ΩR3 = 12 ΩR4 = 4 Ω
IR3 = A
3.Medium
R1​ = 12 Ω+−VR1​R2​ = 2 Ω+−V1​24 VR3​3 ΩA+−V2​18 VI1​I2​

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

V1 = 24 VV2 = 18 VR1 = 12 ΩR2 = 2 ΩR3 = 3 Ω
VR1 = V
4.Medium
R1​ = 2 ΩR2​ = 15 Ω+−V1​18 VR3​10 Ω+−VR3​A+−V2​12 VI1​I2​

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

V1 = 18 VV2 = 12 VR1 = 2 ΩR2 = 15 ΩR3 = 10 Ω
VR3 = V
5.Hard
R1​ = 8 ΩR2​ = 4 ΩR3​ = 12 Ω+−V1​18 VR4​20 ΩAR5​8 ΩB+−V2​36 VI1​I2​I3​

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

V1 = 18 VV2 = 36 VR1 = 8 ΩR2 = 4 ΩR3 = 12 ΩR4 = 20 ΩR5 = 8 Ω
I3 = A
6.Hard
R1​ = 10 ΩR2​ = 5 Ω+−VR2​R3​ = 4 Ω+−V1​12 VR4​3 ΩAR5​10 ΩB+−V2​10 VI1​I2​I3​

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

V1 = 12 VV2 = 10 VR1 = 10 ΩR2 = 5 ΩR3 = 4 ΩR4 = 3 ΩR5 = 10 Ω
VR2 = V

Answer key

  1. 1. IR4 = 0.6383 A
  2. 2. IR3 = 1.22 A
  3. 3. VR1 = 12 V
  4. 4. VR3 = 14.7 V
  5. 5. I3 = −1.843 A
  6. 6. VR2 = −2.151 V

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