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​ = 12 Ω+−V1​12 VR3​8 ΩIR3​AR4​10 ΩBI1​I2​

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

V1 = 12 VR1 = 4 ΩR2 = 12 ΩR3 = 8 ΩR4 = 10 Ω
IR3 = A
2.Easy
R1​ = 3 ΩR2​ = 10 Ω+−V1​20 VR3​8 ΩAR4​6 ΩBI1​I2​

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

V1 = 20 VR1 = 3 ΩR2 = 10 ΩR3 = 8 ΩR4 = 6 Ω
I1 = A
3.Medium
R1​ = 5 ΩIR1​R2​ = 5 Ω+−V1​6 VR3​10 ΩA+−V2​24 VI1​I2​

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

V1 = 6 VV2 = 24 VR1 = 5 ΩR2 = 5 ΩR3 = 10 Ω
IR1 = A
4.Medium
R1​ = 6 ΩR2​ = 12 ΩIR2​+−V1​10 VR3​8 ΩA+−V2​10 VI1​I2​

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

V1 = 10 VV2 = 10 VR1 = 6 ΩR2 = 12 ΩR3 = 8 Ω
IR2 = A
5.Hard
R1​ = 12 ΩR2​ = 12 ΩR3​ = 2 Ω+−V1​24 VR4​30 ΩAR5​10 ΩIR5​B+−V2​18 VI1​I2​I3​

Use mesh analysis to find the current IR5 through R5 in the direction of the arrow.

V1 = 24 VV2 = 18 VR1 = 12 ΩR2 = 12 ΩR3 = 2 ΩR4 = 30 ΩR5 = 10 Ω
IR5 = A
6.Hard
R1​ = 3 ΩR2​ = 4 ΩR3​ = 3 Ω+−V1​9 VR4​4 ΩAR5​6 ΩB+−V2​30 VI1​I2​I3​

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

V1 = 9 VV2 = 30 VR1 = 3 ΩR2 = 4 ΩR3 = 3 ΩR4 = 4 ΩR5 = 6 Ω
I2 = A

Answer key

  1. 1. IR3 = 0.8919 A
  2. 2. I1 = 2.4 A
  3. 3. IR1 = −1.2 A
  4. 4. IR2 = −0.2778 A
  5. 5. IR5 = 1.516 A
  6. 6. I2 = −1.926 A

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