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​ = 10 ΩR2​ = 10 Ω+−V1​18 VR3​10 ΩAR4​6 ΩBI1​I2​

Use mesh analysis to find the mesh current I2 (clockwise).

V1 = 18 VR1 = 10 ΩR2 = 10 ΩR3 = 10 ΩR4 = 6 Ω
I2 = A
2.Easy
R1​ = 4 ΩR2​ = 3 ΩIR2​+−V1​10 VR3​5 ΩAR4​4 ΩBI1​I2​

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

V1 = 10 VR1 = 4 ΩR2 = 3 ΩR3 = 5 ΩR4 = 4 Ω
IR2 = A
3.Medium
R1​ = 20 ΩR2​ = 12 Ω+−V1​12 VR3​10 Ω+−VR3​A+−V2​9 VI1​I2​

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

V1 = 12 VV2 = 9 VR1 = 20 ΩR2 = 12 ΩR3 = 10 Ω
VR3 = V
4.Medium
R1​ = 4 ΩR2​ = 8 Ω+−V1​10 VR3​8 ΩIR3​A+−V2​6 VI1​I2​

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

V1 = 10 VV2 = 6 VR1 = 4 ΩR2 = 8 ΩR3 = 8 Ω
IR3 = A
5.Hard
R1​ = 5 ΩR2​ = 6 ΩR3​ = 6 Ω+−V1​10 VR4​6 ΩAR5​10 Ω+−VR5​B+−V2​12 VI1​I2​I3​

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

V1 = 10 VV2 = 12 VR1 = 5 ΩR2 = 6 ΩR3 = 6 ΩR4 = 6 ΩR5 = 10 Ω
VR5 = V
6.Hard
R1​ = 5 ΩR2​ = 3 ΩR3​ = 5 Ω+−V1​15 VR4​25 ΩAR5​2 ΩIR5​B+−V2​6 VI1​I2​I3​

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

V1 = 15 VV2 = 6 VR1 = 5 ΩR2 = 3 ΩR3 = 5 ΩR4 = 25 ΩR5 = 2 Ω
IR5 = A

Answer key

  1. 1. I2 = 0.4286 A
  2. 2. IR2 = 0.6024 A
  3. 3. VR3 = 5.786 V
  4. 4. IR3 = 0.8125 A
  5. 5. VR5 = 6.885 V
  6. 6. IR5 = 1.753 A

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