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​ = 3 ΩR2​ = 5 Ω+−V1​24 VR3​5 ΩAR4​10 ΩBI1​I2​

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

V1 = 24 VR1 = 3 ΩR2 = 5 ΩR3 = 5 ΩR4 = 10 Ω
I1 = A
2.Easy
R1​ = 8 ΩR2​ = 8 Ω+−V1​24 VR3​12 ΩAR4​8 ΩBI1​I2​

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

V1 = 24 VR1 = 8 ΩR2 = 8 ΩR3 = 12 ΩR4 = 8 Ω
I2 = A
3.Medium
R1​ = 15 ΩR2​ = 4 Ω+−V1​12 VR3​20 Ω+−VR3​A+−V2​10 VI1​I2​

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

V1 = 12 VV2 = 10 VR1 = 15 ΩR2 = 4 ΩR3 = 20 Ω
VR3 = V
4.Medium
R1​ = 2 ΩR2​ = 5 Ω+−VR2​+−V1​24 VR3​4 ΩA+−V2​10 VI1​I2​

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

V1 = 24 VV2 = 10 VR1 = 2 ΩR2 = 5 ΩR3 = 4 Ω
VR2 = V
5.Hard
R1​ = 4 ΩR2​ = 6 ΩR3​ = 20 ΩIR3​+−V1​15 VR4​4 ΩAR5​5 ΩB+−V2​5 VI1​I2​I3​

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

V1 = 15 VV2 = 5 VR1 = 4 ΩR2 = 6 ΩR3 = 20 ΩR4 = 4 ΩR5 = 5 Ω
IR3 = A
6.Hard
R1​ = 15 ΩIR1​R2​ = 8 ΩR3​ = 25 Ω+−V1​6 VR4​20 ΩAR5​2 ΩB+−V2​9 VI1​I2​I3​

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

V1 = 6 VV2 = 9 VR1 = 15 ΩR2 = 8 ΩR3 = 25 ΩR4 = 20 ΩR5 = 2 Ω
IR1 = A

Answer key

  1. 1. I1 = 3.556 A
  2. 2. I2 = 0.6923 A
  3. 3. VR3 = 9 V
  4. 4. VR2 = 4.737 V
  5. 5. IR3 = −0.09167 A
  6. 6. IR1 = 0.2571 A

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