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​ = 6 ΩR2​ = 6 Ω+−V1​8 VR3​2 ΩAR4​6 ΩIR4​BI1​I2​

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

V1 = 8 VR1 = 6 ΩR2 = 6 ΩR3 = 2 ΩR4 = 6 Ω
IR4 = A
2.Easy
R1​ = 6 ΩIR1​R2​ = 12 Ω+−V1​20 VR3​5 ΩAR4​5 ΩBI1​I2​

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

V1 = 20 VR1 = 6 ΩR2 = 12 ΩR3 = 5 ΩR4 = 5 Ω
IR1 = A
3.Medium
R1​ = 15 ΩR2​ = 15 Ω+−V1​9 VR3​4 ΩIR3​A+−V2​24 VI1​I2​

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

V1 = 9 VV2 = 24 VR1 = 15 ΩR2 = 15 ΩR3 = 4 Ω
IR3 = A
4.Medium
R1​ = 12 Ω+−VR1​R2​ = 3 Ω+−V1​30 VR3​15 ΩA+−V2​10 VI1​I2​

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

V1 = 30 VV2 = 10 VR1 = 12 ΩR2 = 3 ΩR3 = 15 Ω
VR1 = V
5.Hard
R1​ = 4 ΩR2​ = 25 Ω+−VR2​R3​ = 3 Ω+−V1​9 VR4​20 ΩAR5​25 ΩB+−V2​5 VI1​I2​I3​

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

V1 = 9 VV2 = 5 VR1 = 4 ΩR2 = 25 ΩR3 = 3 ΩR4 = 20 ΩR5 = 25 Ω
VR2 = V
6.Hard
R1​ = 20 ΩR2​ = 25 ΩR3​ = 25 Ω+−V1​15 VR4​20 ΩAR5​2 ΩIR5​B+−V2​18 VI1​I2​I3​

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

V1 = 15 VV2 = 18 VR1 = 20 ΩR2 = 25 ΩR3 = 25 ΩR4 = 20 ΩR5 = 2 Ω
IR5 = A

Answer key

  1. 1. IR4 = 0.1481 A
  2. 2. IR1 = 2.028 A
  3. 3. IR3 = 1.435 A
  4. 4. VR1 = 17.93 V
  5. 5. VR2 = 2.447 V
  6. 6. IR5 = 0.8216 A

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