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 Ω+−VR1​R2​ = 4 Ω+−V1​6 VR3​8 ΩAR4​5 ΩBI1​I2​

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

V1 = 6 VR1 = 6 ΩR2 = 4 ΩR3 = 8 ΩR4 = 5 Ω
VR1 = V
2.Easy
R1​ = 2 ΩR2​ = 4 Ω+−V1​12 VR3​12 ΩIR3​AR4​3 ΩBI1​I2​

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

V1 = 12 VR1 = 2 ΩR2 = 4 ΩR3 = 12 ΩR4 = 3 Ω
IR3 = A
3.Medium
R1​ = 15 ΩIR1​R2​ = 8 Ω+−V1​24 VR3​5 ΩA+−V2​10 VI1​I2​

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

V1 = 24 VV2 = 10 VR1 = 15 ΩR2 = 8 ΩR3 = 5 Ω
IR1 = A
4.Medium
R1​ = 12 ΩR2​ = 3 Ω+−V1​24 VR3​15 Ω+−VR3​A+−V2​10 VI1​I2​

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

V1 = 24 VV2 = 10 VR1 = 12 ΩR2 = 3 ΩR3 = 15 Ω
VR3 = V
5.Hard
R1​ = 15 ΩR2​ = 6 ΩR3​ = 25 Ω+−V1​24 VR4​20 ΩAR5​30 ΩB+−V2​6 VI1​I2​I3​

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

V1 = 24 VV2 = 6 VR1 = 15 ΩR2 = 6 ΩR3 = 25 ΩR4 = 20 ΩR5 = 30 Ω
I1 = A
6.Hard
R1​ = 8 ΩR2​ = 15 ΩR3​ = 2 Ω+−V1​24 VR4​5 ΩAR5​25 ΩB+−V2​6 VI1​I2​I3​

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

V1 = 24 VV2 = 6 VR1 = 8 ΩR2 = 15 ΩR3 = 2 ΩR4 = 5 ΩR5 = 25 Ω
I2 = A

Answer key

  1. 1. VR1 = 3.517 V
  2. 2. IR3 = 0.6885 A
  3. 3. IR1 = 1.115 A
  4. 4. VR3 = 11.03 V
  5. 5. I1 = 0.8972 A
  6. 6. I2 = 0.1844 A

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