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 Ω+−VR1​R2​ = 12 Ω+−V1​15 VR3​10 ΩAR4​3 ΩBI1​I2​

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

V1 = 15 VR1 = 12 ΩR2 = 12 ΩR3 = 10 ΩR4 = 3 Ω
VR1 = V
2.Easy
R1​ = 3 ΩR2​ = 10 Ω+−V1​24 VR3​6 Ω+−VR3​AR4​8 ΩBI1​I2​

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

V1 = 24 VR1 = 3 ΩR2 = 10 ΩR3 = 6 ΩR4 = 8 Ω
VR3 = V
3.Medium
R1​ = 4 ΩR2​ = 15 Ω+−V1​9 VR3​6 ΩA+−V2​24 VI1​I2​

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

V1 = 9 VV2 = 24 VR1 = 4 ΩR2 = 15 ΩR3 = 6 Ω
I1 = A
4.Medium
R1​ = 3 ΩR2​ = 3 Ω+−VR2​+−V1​24 VR3​2 ΩA+−V2​24 VI1​I2​

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

V1 = 24 VV2 = 24 VR1 = 3 ΩR2 = 3 ΩR3 = 2 Ω
VR2 = V
5.Hard
R1​ = 25 ΩR2​ = 3 ΩR3​ = 6 Ω+−V1​18 VR4​15 ΩAR5​25 ΩB+−V2​10 VI1​I2​I3​

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

V1 = 18 VV2 = 10 VR1 = 25 ΩR2 = 3 ΩR3 = 6 ΩR4 = 15 ΩR5 = 25 Ω
I3 = A
6.Hard
R1​ = 5 ΩR2​ = 20 ΩR3​ = 4 Ω+−V1​24 VR4​6 Ω+−VR4​AR5​3 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 24 VV2 = 12 VR1 = 5 ΩR2 = 20 ΩR3 = 4 ΩR4 = 6 ΩR5 = 3 Ω
VR4 = V

Answer key

  1. 1. VR1 = 10 V
  2. 2. VR3 = 14.4 V
  3. 3. I1 = 0.2586 A
  4. 4. VR2 = −10.29 V
  5. 5. I3 = −0.3842 A
  6. 6. VR4 = 12.2 V

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