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​ = 5 ΩR2​ = 3 ΩIR2​+−V1​18 VR3​10 ΩAR4​10 ΩBI1​I2​

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

V1 = 18 VR1 = 5 ΩR2 = 3 ΩR3 = 10 ΩR4 = 10 Ω
IR2 = A
2.Easy
R1​ = 4 ΩR2​ = 3 Ω+−V1​6 VR3​6 ΩAR4​6 ΩBI1​I2​

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

V1 = 6 VR1 = 4 ΩR2 = 3 ΩR3 = 6 ΩR4 = 6 Ω
I1 = A
3.Medium
R1​ = 20 ΩR2​ = 4 Ω+−V1​10 VR3​6 ΩIR3​A+−V2​12 VI1​I2​

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

V1 = 10 VV2 = 12 VR1 = 20 ΩR2 = 4 ΩR3 = 6 Ω
IR3 = A
4.Medium
R1​ = 10 Ω+−VR1​R2​ = 6 Ω+−V1​30 VR3​10 ΩA+−V2​10 VI1​I2​

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

V1 = 30 VV2 = 10 VR1 = 10 ΩR2 = 6 ΩR3 = 10 Ω
VR1 = V
5.Hard
R1​ = 5 ΩR2​ = 2 ΩR3​ = 25 Ω+−V1​5 VR4​20 ΩAR5​8 ΩIR5​B+−V2​6 VI1​I2​I3​

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

V1 = 5 VV2 = 6 VR1 = 5 ΩR2 = 2 ΩR3 = 25 ΩR4 = 20 ΩR5 = 8 Ω
IR5 = A
6.Hard
R1​ = 3 ΩR2​ = 8 Ω+−VR2​R3​ = 12 Ω+−V1​15 VR4​25 ΩAR5​2 ΩB+−V2​9 VI1​I2​I3​

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

V1 = 15 VV2 = 9 VR1 = 3 ΩR2 = 8 ΩR3 = 12 ΩR4 = 25 ΩR5 = 2 Ω
VR2 = V

Answer key

  1. 1. IR2 = 0.7347 A
  2. 2. I1 = 0.7895 A
  3. 3. IR3 = 1.25 A
  4. 4. VR1 = 17.27 V
  5. 5. IR5 = 0.3417 A
  6. 6. VR2 = 7.816 V

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