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​ = 2 Ω+−V1​12 VR3​10 ΩIR3​AR4​5 ΩBI1​I2​

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

V1 = 12 VR1 = 8 ΩR2 = 2 ΩR3 = 10 ΩR4 = 5 Ω
IR3 = A
2.Easy
R1​ = 5 ΩR2​ = 4 Ω+−V1​8 VR3​4 ΩAR4​12 ΩBI1​I2​

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

V1 = 8 VR1 = 5 ΩR2 = 4 ΩR3 = 4 ΩR4 = 12 Ω
I2 = A
3.Medium
R1​ = 15 ΩR2​ = 10 ΩIR2​+−V1​24 VR3​4 ΩA+−V2​30 VI1​I2​

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

V1 = 24 VV2 = 30 VR1 = 15 ΩR2 = 10 ΩR3 = 4 Ω
IR2 = A
4.Medium
R1​ = 4 ΩIR1​R2​ = 3 Ω+−V1​9 VR3​20 ΩA+−V2​15 VI1​I2​

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

V1 = 9 VV2 = 15 VR1 = 4 ΩR2 = 3 ΩR3 = 20 Ω
IR1 = A
5.Hard
R1​ = 25 ΩR2​ = 25 ΩR3​ = 8 Ω+−V1​30 VR4​3 ΩAR5​25 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 30 VV2 = 12 VR1 = 25 ΩR2 = 25 ΩR3 = 8 ΩR4 = 3 ΩR5 = 25 Ω
I1 = A
6.Hard
R1​ = 2 ΩR2​ = 3 ΩR3​ = 4 Ω+−V1​15 VR4​8 ΩAR5​6 ΩIR5​B+−V2​24 VI1​I2​I3​

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

V1 = 15 VV2 = 24 VR1 = 2 ΩR2 = 3 ΩR3 = 4 ΩR4 = 8 ΩR5 = 6 Ω
IR5 = A

Answer key

  1. 1. IR3 = 0.4078 A
  2. 2. I2 = 0.1951 A
  3. 3. IR2 = −1.896 A
  4. 4. IR1 = −0.6118 A
  5. 5. I1 = 1.053 A
  6. 6. IR5 = 2.263 A

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