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 ΩR2​ = 2 ΩIR2​+−V1​20 VR3​8 ΩAR4​10 ΩBI1​I2​

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

V1 = 20 VR1 = 2 ΩR2 = 2 ΩR3 = 8 ΩR4 = 10 Ω
IR2 = A
2.Easy
R1​ = 8 ΩR2​ = 6 Ω+−VR2​+−V1​15 VR3​2 ΩAR4​5 ΩBI1​I2​

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

V1 = 15 VR1 = 8 ΩR2 = 6 ΩR3 = 2 ΩR4 = 5 Ω
VR2 = V
3.Medium
R1​ = 20 ΩR2​ = 15 Ω+−V1​15 VR3​12 ΩIR3​A+−V2​18 VI1​I2​

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

V1 = 15 VV2 = 18 VR1 = 20 ΩR2 = 15 ΩR3 = 12 Ω
IR3 = A
4.Medium
R1​ = 6 ΩR2​ = 5 Ω+−V1​30 VR3​4 ΩA+−V2​6 VI1​I2​

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

V1 = 30 VV2 = 6 VR1 = 6 ΩR2 = 5 ΩR3 = 4 Ω
I2 = A
5.Hard
R1​ = 12 ΩR2​ = 2 ΩR3​ = 6 Ω+−VR3​+−V1​15 VR4​20 ΩAR5​30 ΩB+−V2​36 VI1​I2​I3​

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

V1 = 15 VV2 = 36 VR1 = 12 ΩR2 = 2 ΩR3 = 6 ΩR4 = 20 ΩR5 = 30 Ω
VR3 = V
6.Hard
R1​ = 30 ΩR2​ = 8 ΩR3​ = 4 Ω+−V1​10 VR4​3 ΩAR5​4 ΩIR5​B+−V2​9 VI1​I2​I3​

Use mesh analysis to find the current IR5 through R5 in the direction of the arrow.

V1 = 10 VV2 = 9 VR1 = 30 ΩR2 = 8 ΩR3 = 4 ΩR4 = 3 ΩR5 = 4 Ω
IR5 = A

Answer key

  1. 1. IR2 = 1.176 A
  2. 2. VR2 = 1.429 V
  3. 3. IR3 = 0.8125 A
  4. 4. I2 = 0.8108 A
  5. 5. VR3 = −13.11 V
  6. 6. IR5 = 0.9839 A

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