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​ = 8 ΩR2​ = 10 Ω+−V1​18 VR3​5 ΩAR4​5 Ω+−VR4​BI1​I2​

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

V1 = 18 VR1 = 8 ΩR2 = 10 ΩR3 = 5 ΩR4 = 5 Ω
VR4 = V
2.Easy
R1​ = 12 ΩR2​ = 3 Ω+−V1​15 VR3​8 ΩAR4​2 ΩIR4​BI1​I2​

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

V1 = 15 VR1 = 12 ΩR2 = 3 ΩR3 = 8 ΩR4 = 2 Ω
IR4 = A
3.Medium
R1​ = 4 ΩR2​ = 5 ΩIR2​+−V1​30 VR3​20 ΩA+−V2​18 VI1​I2​

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

V1 = 30 VV2 = 18 VR1 = 4 ΩR2 = 5 ΩR3 = 20 Ω
IR2 = A
4.Medium
R1​ = 15 ΩR2​ = 20 Ω+−V1​24 VR3​8 Ω+−VR3​A+−V2​9 VI1​I2​

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

V1 = 24 VV2 = 9 VR1 = 15 ΩR2 = 20 ΩR3 = 8 Ω
VR3 = V
5.Hard
R1​ = 10 ΩR2​ = 30 ΩR3​ = 20 Ω+−V1​30 VR4​10 ΩAR5​12 ΩIR5​B+−V2​10 VI1​I2​I3​

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

V1 = 30 VV2 = 10 VR1 = 10 ΩR2 = 30 ΩR3 = 20 ΩR4 = 10 ΩR5 = 12 Ω
IR5 = A
6.Hard
R1​ = 25 ΩR2​ = 25 ΩR3​ = 30 ΩIR3​+−V1​5 VR4​20 ΩAR5​8 ΩB+−V2​24 VI1​I2​I3​

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

V1 = 5 VV2 = 24 VR1 = 25 ΩR2 = 25 ΩR3 = 30 ΩR4 = 20 ΩR5 = 8 Ω
IR3 = A

Answer key

  1. 1. VR4 = 1.915 V
  2. 2. IR4 = 0.6122 A
  3. 3. IR2 = 0.84 A
  4. 4. VR3 = 8.483 V
  5. 5. IR5 = 0.4779 A
  6. 6. IR3 = −0.6456 A

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