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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Name: ____________________   Date: ____________

1.Easy
R1​ = 6 ΩR2​ = 6 Ω+−V1​20 VR3​8 ΩAR4​12 ΩBI1​I2​

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

V1 = 20 VR1 = 6 ΩR2 = 6 ΩR3 = 8 ΩR4 = 12 Ω
I2 = A
2.Easy
R1​ = 3 ΩR2​ = 10 Ω+−V1​20 VR3​12 ΩAR4​12 ΩBI1​I2​

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

V1 = 20 VR1 = 3 ΩR2 = 10 ΩR3 = 12 ΩR4 = 12 Ω
I1 = A
3.Medium
R1​ = 2 ΩR2​ = 12 ΩIR2​+−V1​30 VR3​10 ΩA+−V2​30 VI1​I2​

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

V1 = 30 VV2 = 30 VR1 = 2 ΩR2 = 12 ΩR3 = 10 Ω
IR2 = A
4.Medium
R1​ = 6 ΩR2​ = 3 Ω+−V1​6 VR3​3 Ω+−VR3​A+−V2​30 VI1​I2​

Use mesh analysis to find the voltage VR3 across R3 with the polarity shown.

V1 = 6 VV2 = 30 VR1 = 6 ΩR2 = 3 ΩR3 = 3 Ω
VR3 = V
5.Hard
R1​ = 20 ΩR2​ = 4 ΩR3​ = 20 Ω+−V1​12 VR4​6 ΩIR4​AR5​25 ΩB+−V2​24 VI1​I2​I3​

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

V1 = 12 VV2 = 24 VR1 = 20 ΩR2 = 4 ΩR3 = 20 ΩR4 = 6 ΩR5 = 25 Ω
IR4 = A
6.Hard
R1​ = 2 ΩR2​ = 6 ΩR3​ = 25 Ω+−V1​6 VR4​2 Ω+−VR4​AR5​4 ΩB+−V2​6 VI1​I2​I3​

Use mesh analysis to find the voltage VR4 across R4 with the polarity shown.

V1 = 6 VV2 = 6 VR1 = 2 ΩR2 = 6 ΩR3 = 25 ΩR4 = 2 ΩR5 = 4 Ω
VR4 = V

Answer key

  1. 1. I2 = 0.5333 A
  2. 2. I1 = 1.858 A
  3. 3. IR2 = −0.3659 A
  4. 4. VR3 = 13.2 V
  5. 5. IR4 = 0.8735 A
  6. 6. VR4 = 2.792 V

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