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​12 VR3​3 ΩAR4​6 ΩIR4​BI1​I2​

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

V1 = 12 VR1 = 8 ΩR2 = 10 ΩR3 = 3 ΩR4 = 6 Ω
IR4 = A
2.Easy
R1​ = 12 ΩR2​ = 6 ΩIR2​+−V1​12 VR3​6 ΩAR4​8 ΩBI1​I2​

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

V1 = 12 VR1 = 12 ΩR2 = 6 ΩR3 = 6 ΩR4 = 8 Ω
IR2 = A
3.Medium
R1​ = 12 ΩR2​ = 2 Ω+−V1​9 VR3​12 ΩA+−V2​6 VI1​I2​

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

V1 = 9 VV2 = 6 VR1 = 12 ΩR2 = 2 ΩR3 = 12 Ω
I2 = A
4.Medium
R1​ = 3 ΩR2​ = 20 Ω+−V1​15 VR3​5 ΩIR3​A+−V2​6 VI1​I2​

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

V1 = 15 VV2 = 6 VR1 = 3 ΩR2 = 20 ΩR3 = 5 Ω
IR3 = A
5.Hard
R1​ = 20 ΩR2​ = 6 ΩR3​ = 12 Ω+−V1​24 VR4​3 ΩAR5​2 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 24 VV2 = 12 VR1 = 20 ΩR2 = 6 ΩR3 = 12 ΩR4 = 3 ΩR5 = 2 Ω
I1 = A
6.Hard
R1​ = 3 ΩR2​ = 4 ΩR3​ = 30 Ω+−V1​18 VR4​25 ΩAR5​30 ΩB+−V2​30 VI1​I2​I3​

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

V1 = 18 VV2 = 30 VR1 = 3 ΩR2 = 4 ΩR3 = 30 ΩR4 = 25 ΩR5 = 30 Ω
I3 = A

Answer key

  1. 1. IR4 = 0.18 A
  2. 2. IR2 = 0.2222 A
  3. 3. I2 = −0.1875 A
  4. 4. IR3 = 1.817 A
  5. 5. I1 = 1.061 A
  6. 6. I3 = −0.4753 A

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