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​ = 10 ΩR2​ = 8 Ω+−V1​10 VR3​2 ΩAR4​12 ΩBI1​I2​

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

V1 = 10 VR1 = 10 ΩR2 = 8 ΩR3 = 2 ΩR4 = 12 Ω
I1 = A
2.Easy
R1​ = 8 ΩIR1​R2​ = 4 Ω+−V1​12 VR3​5 ΩAR4​2 ΩBI1​I2​

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

V1 = 12 VR1 = 8 ΩR2 = 4 ΩR3 = 5 ΩR4 = 2 Ω
IR1 = A
3.Medium
R1​ = 12 ΩR2​ = 3 Ω+−V1​15 VR3​8 Ω+−VR3​A+−V2​24 VI1​I2​

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

V1 = 15 VV2 = 24 VR1 = 12 ΩR2 = 3 ΩR3 = 8 Ω
VR3 = V
4.Medium
R1​ = 2 ΩR2​ = 3 ΩIR2​+−V1​9 VR3​12 ΩA+−V2​6 VI1​I2​

Use mesh analysis to find the current IR2 through R2 in the direction of the arrow.

V1 = 9 VV2 = 6 VR1 = 2 ΩR2 = 3 ΩR3 = 12 Ω
IR2 = A
5.Hard
R1​ = 8 ΩR2​ = 20 ΩR3​ = 30 Ω+−V1​12 VR4​3 ΩAR5​5 ΩB+−V2​10 VI1​I2​I3​

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

V1 = 12 VV2 = 10 VR1 = 8 ΩR2 = 20 ΩR3 = 30 ΩR4 = 3 ΩR5 = 5 Ω
I2 = A
6.Hard
R1​ = 4 ΩR2​ = 8 ΩR3​ = 10 Ω+−V1​24 VR4​25 Ω+−VR4​AR5​8 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 = 4 ΩR2 = 8 ΩR3 = 10 ΩR4 = 25 ΩR5 = 8 Ω
VR4 = V

Answer key

  1. 1. I1 = 0.8462 A
  2. 2. IR1 = 1.119 A
  3. 3. VR3 = 17.08 V
  4. 4. IR2 = 0.3636 A
  5. 5. I2 = 0.06968 A
  6. 6. VR4 = 17.36 V

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