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​ = 5 ΩR2​ = 2 Ω+−V1​8 VR3​4 ΩIR3​AR4​3 ΩBI1​I2​

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

V1 = 8 VR1 = 5 ΩR2 = 2 ΩR3 = 4 ΩR4 = 3 Ω
IR3 = A
2.Easy
R1​ = 12 ΩR2​ = 6 Ω+−V1​6 VR3​2 ΩAR4​5 ΩBI1​I2​

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

V1 = 6 VR1 = 12 ΩR2 = 6 ΩR3 = 2 ΩR4 = 5 Ω
I1 = A
3.Medium
R1​ = 10 ΩIR1​R2​ = 8 Ω+−V1​24 VR3​10 ΩA+−V2​24 VI1​I2​

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

V1 = 24 VV2 = 24 VR1 = 10 ΩR2 = 8 ΩR3 = 10 Ω
IR1 = A
4.Medium
R1​ = 5 ΩR2​ = 10 Ω+−V1​12 VR3​3 ΩA+−V2​24 VI1​I2​

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

V1 = 12 VV2 = 24 VR1 = 5 ΩR2 = 10 ΩR3 = 3 Ω
I2 = A
5.Hard
R1​ = 10 ΩR2​ = 5 ΩR3​ = 6 Ω+−V1​36 VR4​12 ΩAR5​3 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 36 VV2 = 12 VR1 = 10 ΩR2 = 5 ΩR3 = 6 ΩR4 = 12 ΩR5 = 3 Ω
I3 = A
6.Hard
R1​ = 6 ΩR2​ = 20 ΩIR2​R3​ = 15 Ω+−V1​18 VR4​10 ΩAR5​10 ΩB+−V2​15 VI1​I2​I3​

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

V1 = 18 VV2 = 15 VR1 = 6 ΩR2 = 20 ΩR3 = 15 ΩR4 = 10 ΩR5 = 10 Ω
IR2 = A

Answer key

  1. 1. IR3 = 0.6154 A
  2. 2. I1 = 0.4382 A
  3. 3. IR1 = 0.7385 A
  4. 4. I2 = −1.642 A
  5. 5. I3 = −0.9148 A
  6. 6. IR2 = 0.1765 A

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