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​ = 6 ΩR2​ = 4 Ω+−V1​8 VR3​6 ΩIR3​AR4​12 ΩBI1​I2​

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

V1 = 8 VR1 = 6 ΩR2 = 4 ΩR3 = 6 ΩR4 = 12 Ω
IR3 = A
2.Easy
R1​ = 5 ΩR2​ = 2 Ω+−VR2​+−V1​12 VR3​12 ΩAR4​3 ΩBI1​I2​

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

V1 = 12 VR1 = 5 ΩR2 = 2 ΩR3 = 12 ΩR4 = 3 Ω
VR2 = V
3.Medium
R1​ = 4 ΩR2​ = 15 ΩIR2​+−V1​10 VR3​8 ΩA+−V2​24 VI1​I2​

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

V1 = 10 VV2 = 24 VR1 = 4 ΩR2 = 15 ΩR3 = 8 Ω
IR2 = A
4.Medium
R1​ = 2 ΩR2​ = 10 Ω+−V1​12 VR3​5 Ω+−VR3​A+−V2​30 VI1​I2​

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

V1 = 12 VV2 = 30 VR1 = 2 ΩR2 = 10 ΩR3 = 5 Ω
VR3 = V
5.Hard
R1​ = 4 Ω+−VR1​R2​ = 12 ΩR3​ = 12 Ω+−V1​24 VR4​15 ΩAR5​4 ΩB+−V2​36 VI1​I2​I3​

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

V1 = 24 VV2 = 36 VR1 = 4 ΩR2 = 12 ΩR3 = 12 ΩR4 = 15 ΩR5 = 4 Ω
VR1 = V
6.Hard
R1​ = 15 ΩR2​ = 10 ΩR3​ = 20 Ω+−V1​30 VR4​2 ΩAR5​8 ΩB+−V2​24 VI1​I2​I3​

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

V1 = 30 VV2 = 24 VR1 = 15 ΩR2 = 10 ΩR3 = 20 ΩR4 = 2 ΩR5 = 8 Ω
I2 = A

Answer key

  1. 1. IR3 = 0.5614 A
  2. 2. VR2 = 1.986 V
  3. 3. IR2 = −0.9811 A
  4. 4. VR3 = 11.25 V
  5. 5. VR1 = 6.783 V
  6. 6. I2 = −0.1904 A

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