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​ = 10 Ω+−V1​24 VR3​2 ΩIR3​AR4​4 ΩBI1​I2​

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

V1 = 24 VR1 = 8 ΩR2 = 10 ΩR3 = 2 ΩR4 = 4 Ω
IR3 = A
2.Easy
R1​ = 8 ΩR2​ = 6 Ω+−V1​10 VR3​12 ΩAR4​5 ΩIR4​BI1​I2​

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

V1 = 10 VR1 = 8 ΩR2 = 6 ΩR3 = 12 ΩR4 = 5 Ω
IR4 = A
3.Medium
R1​ = 10 ΩR2​ = 2 Ω+−V1​9 VR3​8 ΩA+−V2​6 VI1​I2​

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

V1 = 9 VV2 = 6 VR1 = 10 ΩR2 = 2 ΩR3 = 8 Ω
I1 = A
4.Medium
R1​ = 4 Ω+−VR1​R2​ = 2 Ω+−V1​24 VR3​5 ΩA+−V2​15 VI1​I2​

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

V1 = 24 VV2 = 15 VR1 = 4 ΩR2 = 2 ΩR3 = 5 Ω
VR1 = V
5.Hard
R1​ = 3 ΩR2​ = 12 ΩR3​ = 2 Ω+−V1​5 VR4​10 ΩAR5​20 ΩB+−V2​24 VI1​I2​I3​

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

V1 = 5 VV2 = 24 VR1 = 3 ΩR2 = 12 ΩR3 = 2 ΩR4 = 10 ΩR5 = 20 Ω
I3 = A
6.Hard
R1​ = 15 ΩR2​ = 3 ΩR3​ = 5 Ω+−VR3​+−V1​6 VR4​8 ΩAR5​2 ΩB+−V2​30 VI1​I2​I3​

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

V1 = 6 VV2 = 30 VR1 = 15 ΩR2 = 3 ΩR3 = 5 ΩR4 = 8 ΩR5 = 2 Ω
VR3 = V

Answer key

  1. 1. IR3 = 2.154 A
  2. 2. IR4 = 0.3797 A
  3. 3. I1 = 0.3621 A
  4. 4. VR1 = 9.789 V
  5. 5. I3 = −2.104 A
  6. 6. VR3 = −22.39 V

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