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 ΩR2​ = 2 Ω+−V1​20 VR3​5 ΩIR3​AR4​10 ΩBI1​I2​

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

V1 = 20 VR1 = 6 ΩR2 = 2 ΩR3 = 5 ΩR4 = 10 Ω
IR3 = A
2.Easy
R1​ = 8 Ω+−VR1​R2​ = 10 Ω+−V1​12 VR3​8 ΩAR4​6 ΩBI1​I2​

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

V1 = 12 VR1 = 8 ΩR2 = 10 ΩR3 = 8 ΩR4 = 6 Ω
VR1 = V
3.Medium
R1​ = 5 ΩR2​ = 8 Ω+−VR2​+−V1​24 VR3​3 ΩA+−V2​10 VI1​I2​

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

V1 = 24 VV2 = 10 VR1 = 5 ΩR2 = 8 ΩR3 = 3 Ω
VR2 = V
4.Medium
R1​ = 4 ΩR2​ = 10 Ω+−V1​18 VR3​4 ΩA+−V2​12 VI1​I2​

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

V1 = 18 VV2 = 12 VR1 = 4 ΩR2 = 10 ΩR3 = 4 Ω
I2 = A
5.Hard
R1​ = 8 ΩIR1​R2​ = 8 ΩR3​ = 12 Ω+−V1​9 VR4​20 ΩAR5​20 ΩB+−V2​5 VI1​I2​I3​

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

V1 = 9 VV2 = 5 VR1 = 8 ΩR2 = 8 ΩR3 = 12 ΩR4 = 20 ΩR5 = 20 Ω
IR1 = A
6.Hard
R1​ = 12 ΩR2​ = 20 ΩR3​ = 20 Ω+−V1​30 VR4​25 ΩAR5​5 ΩB+−V2​10 VI1​I2​I3​

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

V1 = 30 VV2 = 10 VR1 = 12 ΩR2 = 20 ΩR3 = 20 ΩR4 = 25 ΩR5 = 5 Ω
I1 = A

Answer key

  1. 1. IR3 = 1.481 A
  2. 2. VR1 = 7.2 V
  3. 3. VR2 = −0.8101 V
  4. 4. I2 = −0.25 A
  5. 5. IR1 = 0.4327 A
  6. 6. I1 = 1.195 A

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