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​ = 5 Ω+−V1​24 VR3​8 ΩAR4​4 ΩBI1​I2​

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

V1 = 24 VR1 = 6 ΩR2 = 5 ΩR3 = 8 ΩR4 = 4 Ω
I1 = A
2.Easy
R1​ = 2 ΩR2​ = 4 Ω+−V1​15 VR3​3 ΩIR3​AR4​5 ΩBI1​I2​

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

V1 = 15 VR1 = 2 ΩR2 = 4 ΩR3 = 3 ΩR4 = 5 Ω
IR3 = A
3.Medium
R1​ = 10 ΩR2​ = 20 Ω+−V1​15 VR3​10 ΩA+−V2​24 VI1​I2​

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

V1 = 15 VV2 = 24 VR1 = 10 ΩR2 = 20 ΩR3 = 10 Ω
I2 = A
4.Medium
R1​ = 10 ΩIR1​R2​ = 12 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 = 12 ΩR3 = 10 Ω
IR1 = A
5.Hard
R1​ = 2 ΩR2​ = 2 ΩR3​ = 15 Ω+−V1​12 VR4​10 ΩIR4​AR5​10 ΩB+−V2​6 VI1​I2​I3​

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

V1 = 12 VV2 = 6 VR1 = 2 ΩR2 = 2 ΩR3 = 15 ΩR4 = 10 ΩR5 = 10 Ω
IR4 = A
6.Hard
R1​ = 15 ΩR2​ = 12 ΩR3​ = 4 Ω+−V1​15 VR4​15 ΩAR5​25 ΩIR5​B+−V2​15 VI1​I2​I3​

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

V1 = 15 VV2 = 15 VR1 = 15 ΩR2 = 12 ΩR3 = 4 ΩR4 = 15 ΩR5 = 25 Ω
IR5 = A

Answer key

  1. 1. I1 = 2.345 A
  2. 2. IR3 = 2.647 A
  3. 3. I2 = −0.66 A
  4. 4. IR1 = 0.08824 A
  5. 5. IR4 = 0.869 A
  6. 6. IR5 = 0.4846 A

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