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​ = 12 ΩR2​ = 3 ΩIR2​+−V1​6 VR3​4 ΩAR4​5 ΩBI1​I2​

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

V1 = 6 VR1 = 12 ΩR2 = 3 ΩR3 = 4 ΩR4 = 5 Ω
IR2 = A
2.Easy
R1​ = 10 ΩR2​ = 4 Ω+−V1​6 VR3​5 ΩAR4​8 ΩBI1​I2​

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

V1 = 6 VR1 = 10 ΩR2 = 4 ΩR3 = 5 ΩR4 = 8 Ω
I2 = A
3.Medium
R1​ = 3 ΩR2​ = 6 Ω+−V1​9 VR3​6 ΩIR3​A+−V2​10 VI1​I2​

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

V1 = 9 VV2 = 10 VR1 = 3 ΩR2 = 6 ΩR3 = 6 Ω
IR3 = A
4.Medium
R1​ = 4 ΩR2​ = 3 Ω+−V1​24 VR3​5 ΩA+−V2​10 VI1​I2​

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

V1 = 24 VV2 = 10 VR1 = 4 ΩR2 = 3 ΩR3 = 5 Ω
I1 = A
5.Hard
R1​ = 30 ΩIR1​R2​ = 6 ΩR3​ = 12 Ω+−V1​15 VR4​4 ΩAR5​5 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 15 VV2 = 12 VR1 = 30 ΩR2 = 6 ΩR3 = 12 ΩR4 = 4 ΩR5 = 5 Ω
IR1 = A
6.Hard
R1​ = 30 ΩR2​ = 4 ΩR3​ = 10 Ω+−V1​18 VR4​20 ΩIR4​AR5​25 ΩB+−V2​18 VI1​I2​I3​

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

V1 = 18 VV2 = 18 VR1 = 30 ΩR2 = 4 ΩR3 = 10 ΩR4 = 20 ΩR5 = 25 Ω
IR4 = A

Answer key

  1. 1. IR2 = 0.1364 A
  2. 2. I2 = 0.1304 A
  3. 3. IR3 = 1.167 A
  4. 4. I1 = 3.021 A
  5. 5. IR1 = 0.4253 A
  6. 6. IR4 = 0.5067 A

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