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 ΩAR4​12 ΩBI1​I2​

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

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

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

V1 = 8 VR1 = 3 ΩR2 = 3 ΩR3 = 8 ΩR4 = 10 Ω
I1 = A
3.Medium
R1​ = 10 ΩIR1​R2​ = 5 Ω+−V1​15 VR3​10 ΩA+−V2​30 VI1​I2​

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

V1 = 15 VV2 = 30 VR1 = 10 ΩR2 = 5 ΩR3 = 10 Ω
IR1 = A
4.Medium
R1​ = 4 ΩR2​ = 15 ΩIR2​+−V1​18 VR3​10 ΩA+−V2​30 VI1​I2​

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

V1 = 18 VV2 = 30 VR1 = 4 ΩR2 = 15 ΩR3 = 10 Ω
IR2 = A
5.Hard
R1​ = 8 ΩR2​ = 3 ΩR3​ = 8 ΩIR3​+−V1​30 VR4​6 ΩAR5​20 ΩB+−V2​6 VI1​I2​I3​

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

V1 = 30 VV2 = 6 VR1 = 8 ΩR2 = 3 ΩR3 = 8 ΩR4 = 6 ΩR5 = 20 Ω
IR3 = A
6.Hard
R1​ = 12 ΩR2​ = 2 ΩR3​ = 12 Ω+−V1​18 VR4​2 ΩAR5​5 ΩIR5​B+−V2​5 VI1​I2​I3​

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

V1 = 18 VV2 = 5 VR1 = 12 ΩR2 = 2 ΩR3 = 12 ΩR4 = 2 ΩR5 = 5 Ω
IR5 = A

Answer key

  1. 1. I2 = 0.2034 A
  2. 2. I1 = 1.006 A
  3. 3. IR1 = −0.375 A
  4. 4. IR2 = −0.96 A
  5. 5. IR3 = 0.2899 A
  6. 6. IR5 = 0.4014 A

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