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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Name: ____________________   Date: ____________

1.Easy
R1​ = 6 ΩR2​ = 6 Ω+−V1​15 VR3​8 ΩAR4​3 ΩBI1​I2​

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

V1 = 15 VR1 = 6 ΩR2 = 6 ΩR3 = 8 ΩR4 = 3 Ω
I1 = A
2.Easy
R1​ = 5 ΩR2​ = 5 Ω+−V1​20 VR3​10 ΩAR4​4 Ω+−VR4​BI1​I2​

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

V1 = 20 VR1 = 5 ΩR2 = 5 ΩR3 = 10 ΩR4 = 4 Ω
VR4 = V
3.Medium
R1​ = 6 ΩR2​ = 20 ΩIR2​+−V1​9 VR3​20 ΩA+−V2​9 VI1​I2​

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

V1 = 9 VV2 = 9 VR1 = 6 ΩR2 = 20 ΩR3 = 20 Ω
IR2 = A
4.Medium
R1​ = 5 Ω+−VR1​R2​ = 20 Ω+−V1​12 VR3​3 ΩA+−V2​24 VI1​I2​

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

V1 = 12 VV2 = 24 VR1 = 5 ΩR2 = 20 ΩR3 = 3 Ω
VR1 = V
5.Hard
R1​ = 30 ΩR2​ = 10 ΩR3​ = 5 Ω+−V1​15 VR4​10 ΩIR4​AR5​30 ΩB+−V2​10 VI1​I2​I3​

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

V1 = 15 VV2 = 10 VR1 = 30 ΩR2 = 10 ΩR3 = 5 ΩR4 = 10 ΩR5 = 30 Ω
IR4 = A
6.Hard
R1​ = 30 ΩR2​ = 30 ΩR3​ = 15 Ω+−V1​30 VR4​25 ΩAR5​25 Ω+−VR5​B+−V2​18 VI1​I2​I3​

Use mesh analysis to find the voltage VR5 across R5 with the polarity shown.

V1 = 30 VV2 = 18 VR1 = 30 ΩR2 = 30 ΩR3 = 15 ΩR4 = 25 ΩR5 = 25 Ω
VR5 = V

Answer key

  1. 1. I1 = 1.466 A
  2. 2. VR4 = 4.324 V
  3. 3. IR2 = −0.08437 A
  4. 4. VR1 = 5.829 V
  5. 5. IR4 = 0.541 A
  6. 6. VR5 = 11.67 V

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