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​ = 6 Ω+−V1​24 VR3​10 ΩAR4​8 ΩIR4​BI1​I2​

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

V1 = 24 VR1 = 8 ΩR2 = 6 ΩR3 = 10 ΩR4 = 8 Ω
IR4 = A
2.Easy
R1​ = 5 ΩR2​ = 4 Ω+−V1​18 VR3​2 ΩAR4​10 ΩBI1​I2​

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

V1 = 18 VR1 = 5 ΩR2 = 4 ΩR3 = 2 ΩR4 = 10 Ω
I2 = A
3.Medium
R1​ = 12 ΩR2​ = 6 ΩIR2​+−V1​15 VR3​4 ΩA+−V2​6 VI1​I2​

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

V1 = 15 VV2 = 6 VR1 = 12 ΩR2 = 6 ΩR3 = 4 Ω
IR2 = A
4.Medium
R1​ = 6 ΩIR1​R2​ = 8 Ω+−V1​12 VR3​12 ΩA+−V2​30 VI1​I2​

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

V1 = 12 VV2 = 30 VR1 = 6 ΩR2 = 8 ΩR3 = 12 Ω
IR1 = A
5.Hard
R1​ = 15 ΩR2​ = 20 ΩR3​ = 5 Ω+−V1​36 VR4​30 ΩAR5​3 ΩB+−V2​15 VI1​I2​I3​

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

V1 = 36 VV2 = 15 VR1 = 15 ΩR2 = 20 ΩR3 = 5 ΩR4 = 30 ΩR5 = 3 Ω
I3 = A
6.Hard
R1​ = 10 ΩR2​ = 12 ΩR3​ = 8 Ω+−V1​6 VR4​20 ΩAR5​4 ΩB+−V2​6 VI1​I2​I3​

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

V1 = 6 VV2 = 6 VR1 = 10 ΩR2 = 12 ΩR3 = 8 ΩR4 = 20 ΩR5 = 4 Ω
I1 = A

Answer key

  1. 1. IR4 = 0.7229 A
  2. 2. I2 = 0.3333 A
  3. 3. IR2 = −0.25 A
  4. 4. IR1 = −0.5556 A
  5. 5. I3 = −1.659 A
  6. 6. I1 = 0.2625 A

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