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​ = 4 ΩIR1​R2​ = 3 Ω+−V1​15 VR3​10 ΩAR4​8 ΩBI1​I2​

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

V1 = 15 VR1 = 4 ΩR2 = 3 ΩR3 = 10 ΩR4 = 8 Ω
IR1 = A
2.Easy
R1​ = 10 ΩR2​ = 5 Ω+−V1​12 VR3​8 ΩAR4​12 ΩBI1​I2​

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

V1 = 12 VR1 = 10 ΩR2 = 5 ΩR3 = 8 ΩR4 = 12 Ω
I1 = A
3.Medium
R1​ = 20 ΩR2​ = 15 Ω+−VR2​+−V1​6 VR3​8 ΩA+−V2​30 VI1​I2​

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

V1 = 6 VV2 = 30 VR1 = 20 ΩR2 = 15 ΩR3 = 8 Ω
VR2 = V
4.Medium
R1​ = 5 ΩR2​ = 5 Ω+−V1​12 VR3​5 ΩA+−V2​12 VI1​I2​

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

V1 = 12 VV2 = 12 VR1 = 5 ΩR2 = 5 ΩR3 = 5 Ω
I2 = A
5.Hard
R1​ = 3 ΩR2​ = 4 ΩIR2​R3​ = 5 Ω+−V1​18 VR4​12 ΩAR5​15 ΩB+−V2​24 VI1​I2​I3​

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

V1 = 18 VV2 = 24 VR1 = 3 ΩR2 = 4 ΩR3 = 5 ΩR4 = 12 ΩR5 = 15 Ω
IR2 = A
6.Hard
R1​ = 20 Ω+−VR1​R2​ = 20 ΩR3​ = 4 Ω+−V1​12 VR4​8 ΩAR5​20 ΩB+−V2​9 VI1​I2​I3​

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

V1 = 12 VV2 = 9 VR1 = 20 ΩR2 = 20 ΩR3 = 4 ΩR4 = 8 ΩR5 = 20 Ω
VR1 = V

Answer key

  1. 1. IR1 = 1.624 A
  2. 2. I1 = 0.7772 A
  3. 3. VR2 = −20.48 V
  4. 4. I2 = −0.8 A
  5. 5. IR2 = −0.3547 A
  6. 6. VR1 = 7.77 V

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