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​ = 12 ΩR2​ = 10 Ω+−VR2​+−V1​10 VR3​6 ΩAR4​4 ΩBI1​I2​

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

V1 = 10 VR1 = 12 ΩR2 = 10 ΩR3 = 6 ΩR4 = 4 Ω
VR2 = V
2.Easy
R1​ = 5 Ω+−VR1​R2​ = 10 Ω+−V1​18 VR3​2 ΩAR4​6 ΩBI1​I2​

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

V1 = 18 VR1 = 5 ΩR2 = 10 ΩR3 = 2 ΩR4 = 6 Ω
VR1 = V
3.Medium
R1​ = 4 ΩR2​ = 6 Ω+−V1​24 VR3​8 ΩA+−V2​10 VI1​I2​

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

V1 = 24 VV2 = 10 VR1 = 4 ΩR2 = 6 ΩR3 = 8 Ω
I1 = A
4.Medium
R1​ = 2 ΩR2​ = 5 Ω+−V1​24 VR3​5 Ω+−VR3​A+−V2​12 VI1​I2​

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

V1 = 24 VV2 = 12 VR1 = 2 ΩR2 = 5 ΩR3 = 5 Ω
VR3 = V
5.Hard
R1​ = 3 ΩR2​ = 20 ΩR3​ = 8 Ω+−V1​24 VR4​6 Ω+−VR4​AR5​20 ΩB+−V2​6 VI1​I2​I3​

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

V1 = 24 VV2 = 6 VR1 = 3 ΩR2 = 20 ΩR3 = 8 ΩR4 = 6 ΩR5 = 20 Ω
VR4 = V
6.Hard
R1​ = 10 ΩR2​ = 2 ΩR3​ = 20 Ω+−V1​5 VR4​20 ΩAR5​15 ΩB+−V2​5 VI1​I2​I3​

Use mesh analysis to find the mesh current I3 (clockwise).

V1 = 5 VV2 = 5 VR1 = 10 ΩR2 = 2 ΩR3 = 20 ΩR4 = 20 ΩR5 = 15 Ω
I3 = A

Answer key

  1. 1. VR2 = 1.852 V
  2. 2. VR1 = 13.28 V
  3. 3. I1 = 2.462 A
  4. 4. VR3 = 16 V
  5. 5. VR4 = 15.15 V
  6. 6. I3 = −0.1133 A

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