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​ = 3 Ω+−V1​20 VR3​10 ΩAR4​8 ΩIR4​BI1​I2​

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

V1 = 20 VR1 = 6 ΩR2 = 3 ΩR3 = 10 ΩR4 = 8 Ω
IR4 = A
2.Easy
R1​ = 10 ΩR2​ = 3 Ω+−VR2​+−V1​8 VR3​6 ΩAR4​8 ΩBI1​I2​

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

V1 = 8 VR1 = 10 ΩR2 = 3 ΩR3 = 6 ΩR4 = 8 Ω
VR2 = V
3.Medium
R1​ = 12 ΩR2​ = 4 Ω+−V1​6 VR3​3 ΩIR3​A+−V2​9 VI1​I2​

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

V1 = 6 VV2 = 9 VR1 = 12 ΩR2 = 4 ΩR3 = 3 Ω
IR3 = A
4.Medium
R1​ = 10 ΩR2​ = 5 ΩIR2​+−V1​18 VR3​4 ΩA+−V2​10 VI1​I2​

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

V1 = 18 VV2 = 10 VR1 = 10 ΩR2 = 5 ΩR3 = 4 Ω
IR2 = A
5.Hard
R1​ = 25 ΩR2​ = 8 ΩR3​ = 15 Ω+−V1​30 VR4​6 ΩAR5​2 ΩB+−V2​9 VI1​I2​I3​

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

V1 = 30 VV2 = 9 VR1 = 25 ΩR2 = 8 ΩR3 = 15 ΩR4 = 6 ΩR5 = 2 Ω
I1 = A
6.Hard
R1​ = 5 ΩR2​ = 4 ΩR3​ = 12 Ω+−VR3​+−V1​30 VR4​6 ΩAR5​6 ΩB+−V2​10 VI1​I2​I3​

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

V1 = 30 VV2 = 10 VR1 = 5 ΩR2 = 4 ΩR3 = 12 ΩR4 = 6 ΩR5 = 6 Ω
VR3 = V

Answer key

  1. 1. IR4 = 0.8475 A
  2. 2. VR2 = 0.6102 V
  3. 3. IR3 = 1.375 A
  4. 4. IR2 = −0.6182 A
  5. 5. I1 = 1.031 A
  6. 6. VR3 = −1.808 V

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