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​ = 8 ΩR2​ = 2 Ω+−V1​24 VR3​12 ΩAR4​5 ΩBI1​I2​

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

V1 = 24 VR1 = 8 ΩR2 = 2 ΩR3 = 12 ΩR4 = 5 Ω
I2 = A
2.Easy
R1​ = 12 Ω+−VR1​R2​ = 3 Ω+−V1​10 VR3​5 ΩAR4​6 ΩBI1​I2​

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

V1 = 10 VR1 = 12 ΩR2 = 3 ΩR3 = 5 ΩR4 = 6 Ω
VR1 = V
3.Medium
R1​ = 2 ΩIR1​R2​ = 4 Ω+−V1​12 VR3​5 ΩA+−V2​18 VI1​I2​

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

V1 = 12 VV2 = 18 VR1 = 2 ΩR2 = 4 ΩR3 = 5 Ω
IR1 = A
4.Medium
R1​ = 5 ΩR2​ = 20 Ω+−VR2​+−V1​30 VR3​10 ΩA+−V2​12 VI1​I2​

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

V1 = 30 VV2 = 12 VR1 = 5 ΩR2 = 20 ΩR3 = 10 Ω
VR2 = V
5.Hard
R1​ = 8 ΩR2​ = 10 ΩR3​ = 8 Ω+−V1​5 VR4​15 ΩAR5​10 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 5 VV2 = 12 VR1 = 8 ΩR2 = 10 ΩR3 = 8 ΩR4 = 15 ΩR5 = 10 Ω
I3 = A
6.Hard
R1​ = 8 ΩR2​ = 12 ΩR3​ = 2 Ω+−V1​15 VR4​10 ΩIR4​AR5​25 ΩB+−V2​36 VI1​I2​I3​

Use mesh analysis to find the current IR4 through R4 in the direction of the arrow.

V1 = 15 VV2 = 36 VR1 = 8 ΩR2 = 12 ΩR3 = 2 ΩR4 = 10 ΩR5 = 25 Ω
IR4 = A

Answer key

  1. 1. I2 = 1.22 A
  2. 2. VR1 = 7.887 V
  3. 3. IR1 = 0.4737 A
  4. 4. VR2 = 6.857 V
  5. 5. I3 = −0.7629 A
  6. 6. IR4 = 1.441 A

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