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​10 VR3​3 ΩAR4​8 ΩIR4​BI1​I2​

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

V1 = 10 VR1 = 8 ΩR2 = 10 ΩR3 = 3 ΩR4 = 8 Ω
IR4 = A
2.Easy
R1​ = 2 ΩR2​ = 12 Ω+−V1​18 VR3​8 Ω+−VR3​AR4​2 ΩBI1​I2​

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

V1 = 18 VR1 = 2 ΩR2 = 12 ΩR3 = 8 ΩR4 = 2 Ω
VR3 = V
3.Medium
R1​ = 3 ΩR2​ = 4 Ω+−V1​24 VR3​8 ΩIR3​A+−V2​12 VI1​I2​

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

V1 = 24 VV2 = 12 VR1 = 3 ΩR2 = 4 ΩR3 = 8 Ω
IR3 = A
4.Medium
R1​ = 4 ΩIR1​R2​ = 5 Ω+−V1​12 VR3​15 ΩA+−V2​30 VI1​I2​

Use mesh analysis to find the current IR1 through R1 in the direction of the arrow.

V1 = 12 VV2 = 30 VR1 = 4 ΩR2 = 5 ΩR3 = 15 Ω
IR1 = A
5.Hard
R1​ = 3 ΩR2​ = 25 ΩR3​ = 2 Ω+−V1​9 VR4​2 Ω+−VR4​AR5​15 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 9 VV2 = 12 VR1 = 3 ΩR2 = 25 ΩR3 = 2 ΩR4 = 2 ΩR5 = 15 Ω
VR4 = V
6.Hard
R1​ = 20 ΩR2​ = 20 ΩR3​ = 20 Ω+−V1​30 VR4​15 ΩAR5​2 ΩIR5​B+−V2​24 VI1​I2​I3​

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

V1 = 30 VV2 = 24 VR1 = 20 ΩR2 = 20 ΩR3 = 20 ΩR4 = 15 ΩR5 = 2 Ω
IR5 = A

Answer key

  1. 1. IR4 = 0.1351 A
  2. 2. VR3 = 12.92 V
  3. 3. IR3 = 1.941 A
  4. 4. IR1 = −1.355 A
  5. 5. VR4 = 3.9 V
  6. 6. IR5 = 1.41 A

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