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​ = 10 ΩR2​ = 6 Ω+−V1​8 VR3​10 ΩAR4​8 ΩBI1​I2​

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

V1 = 8 VR1 = 10 ΩR2 = 6 ΩR3 = 10 ΩR4 = 8 Ω
I1 = A
2.Easy
R1​ = 5 ΩIR1​R2​ = 6 Ω+−V1​15 VR3​8 ΩAR4​12 ΩBI1​I2​

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

V1 = 15 VR1 = 5 ΩR2 = 6 ΩR3 = 8 ΩR4 = 12 Ω
IR1 = A
3.Medium
R1​ = 20 ΩR2​ = 8 Ω+−V1​6 VR3​8 ΩIR3​A+−V2​6 VI1​I2​

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

V1 = 6 VV2 = 6 VR1 = 20 ΩR2 = 8 ΩR3 = 8 Ω
IR3 = A
4.Medium
R1​ = 6 ΩR2​ = 3 ΩIR2​+−V1​6 VR3​4 ΩA+−V2​18 VI1​I2​

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

V1 = 6 VV2 = 18 VR1 = 6 ΩR2 = 3 ΩR3 = 4 Ω
IR2 = A
5.Hard
R1​ = 25 ΩR2​ = 4 ΩR3​ = 4 Ω+−V1​10 VR4​3 ΩAR5​12 ΩIR5​B+−V2​9 VI1​I2​I3​

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

V1 = 10 VV2 = 9 VR1 = 25 ΩR2 = 4 ΩR3 = 4 ΩR4 = 3 ΩR5 = 12 Ω
IR5 = A
6.Hard
R1​ = 2 ΩR2​ = 20 ΩR3​ = 15 Ω+−V1​12 VR4​4 ΩAR5​4 ΩB+−V2​24 VI1​I2​I3​

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

V1 = 12 VV2 = 24 VR1 = 2 ΩR2 = 20 ΩR3 = 15 ΩR4 = 4 ΩR5 = 4 Ω
I3 = A

Answer key

  1. 1. I1 = 0.5053 A
  2. 2. IR1 = 1.423 A
  3. 3. IR3 = 0.4375 A
  4. 4. IR2 = −2.889 A
  5. 5. IR5 = 0.4158 A
  6. 6. I3 = −1.238 A

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