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​ = 12 ΩR2​ = 10 Ω+−V1​20 VR3​4 ΩAR4​3 ΩIR4​BI1​I2​

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

V1 = 20 VR1 = 12 ΩR2 = 10 ΩR3 = 4 ΩR4 = 3 Ω
IR4 = A
2.Easy
R1​ = 6 ΩR2​ = 6 ΩIR2​+−V1​18 VR3​4 ΩAR4​4 ΩBI1​I2​

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

V1 = 18 VR1 = 6 ΩR2 = 6 ΩR3 = 4 ΩR4 = 4 Ω
IR2 = A
3.Medium
R1​ = 5 ΩR2​ = 4 Ω+−V1​12 VR3​15 ΩA+−V2​18 VI1​I2​

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

V1 = 12 VV2 = 18 VR1 = 5 ΩR2 = 4 ΩR3 = 15 Ω
I1 = A
4.Medium
R1​ = 10 ΩR2​ = 6 Ω+−V1​30 VR3​4 ΩIR3​A+−V2​18 VI1​I2​

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

V1 = 30 VV2 = 18 VR1 = 10 ΩR2 = 6 ΩR3 = 4 Ω
IR3 = A
5.Hard
R1​ = 15 ΩR2​ = 25 ΩR3​ = 12 Ω+−V1​10 VR4​3 ΩAR5​6 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 10 VV2 = 12 VR1 = 15 ΩR2 = 25 ΩR3 = 12 ΩR4 = 3 ΩR5 = 6 Ω
I2 = A
6.Hard
R1​ = 4 ΩR2​ = 25 ΩR3​ = 20 Ω+−V1​12 VR4​30 ΩAR5​10 ΩB+−V2​9 VI1​I2​I3​

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

V1 = 12 VV2 = 9 VR1 = 4 ΩR2 = 25 ΩR3 = 20 ΩR4 = 30 ΩR5 = 10 Ω
I3 = A

Answer key

  1. 1. IR4 = 0.3125 A
  2. 2. IR2 = 0.5806 A
  3. 3. I1 = −0.271 A
  4. 4. IR3 = 2.903 A
  5. 5. I2 = −0.07407 A
  6. 6. I3 = −0.2281 A

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