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 ΩR2​ = 10 Ω+−V1​8 VR3​5 ΩIR3​AR4​3 ΩBI1​I2​

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

V1 = 8 VR1 = 4 ΩR2 = 10 ΩR3 = 5 ΩR4 = 3 Ω
IR3 = A
2.Easy
R1​ = 2 ΩR2​ = 12 Ω+−VR2​+−V1​24 VR3​8 ΩAR4​4 ΩBI1​I2​

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

V1 = 24 VR1 = 2 ΩR2 = 12 ΩR3 = 8 ΩR4 = 4 Ω
VR2 = V
3.Medium
R1​ = 10 ΩR2​ = 2 Ω+−V1​10 VR3​3 ΩA+−V2​9 VI1​I2​

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

V1 = 10 VV2 = 9 VR1 = 10 ΩR2 = 2 ΩR3 = 3 Ω
I2 = A
4.Medium
R1​ = 4 ΩR2​ = 10 Ω+−V1​18 VR3​15 ΩA+−V2​12 VI1​I2​

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

V1 = 18 VV2 = 12 VR1 = 4 ΩR2 = 10 ΩR3 = 15 Ω
I1 = A
5.Hard
R1​ = 10 Ω+−VR1​R2​ = 20 ΩR3​ = 12 Ω+−V1​15 VR4​4 ΩAR5​20 ΩB+−V2​30 VI1​I2​I3​

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

V1 = 15 VV2 = 30 VR1 = 10 ΩR2 = 20 ΩR3 = 12 ΩR4 = 4 ΩR5 = 20 Ω
VR1 = V
6.Hard
R1​ = 12 ΩR2​ = 8 ΩIR2​R3​ = 4 Ω+−V1​24 VR4​10 ΩAR5​4 ΩB+−V2​24 VI1​I2​I3​

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

V1 = 24 VV2 = 24 VR1 = 12 ΩR2 = 8 ΩR3 = 4 ΩR4 = 10 ΩR5 = 4 Ω
IR2 = A

Answer key

  1. 1. IR3 = 0.7591 A
  2. 2. VR2 = 13.09 V
  3. 3. I2 = −1.554 A
  4. 4. I1 = 1.08 A
  5. 5. VR1 = 9.353 V
  6. 6. IR2 = −0.07059 A

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