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​ = 3 ΩR2​ = 3 Ω+−V1​6 VR3​8 ΩAR4​4 ΩBI1​I2​

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

V1 = 6 VR1 = 3 ΩR2 = 3 ΩR3 = 8 ΩR4 = 4 Ω
I2 = A
2.Easy
R1​ = 3 ΩR2​ = 3 Ω+−V1​12 VR3​8 ΩAR4​3 ΩIR4​BI1​I2​

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

V1 = 12 VR1 = 3 ΩR2 = 3 ΩR3 = 8 ΩR4 = 3 Ω
IR4 = A
3.Medium
R1​ = 6 ΩR2​ = 10 Ω+−VR2​+−V1​15 VR3​5 ΩA+−V2​30 VI1​I2​

Use mesh analysis to find the voltage VR2 across R2 with the polarity shown.

V1 = 15 VV2 = 30 VR1 = 6 ΩR2 = 10 ΩR3 = 5 Ω
VR2 = V
4.Medium
R1​ = 5 ΩR2​ = 4 Ω+−V1​6 VR3​10 ΩA+−V2​6 VI1​I2​

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

V1 = 6 VV2 = 6 VR1 = 5 ΩR2 = 4 ΩR3 = 10 Ω
I1 = A
5.Hard
R1​ = 15 ΩR2​ = 30 ΩR3​ = 30 Ω+−V1​24 VR4​10 Ω+−VR4​AR5​20 ΩB+−V2​10 VI1​I2​I3​

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

V1 = 24 VV2 = 10 VR1 = 15 ΩR2 = 30 ΩR3 = 30 ΩR4 = 10 ΩR5 = 20 Ω
VR4 = V
6.Hard
R1​ = 10 ΩR2​ = 30 ΩR3​ = 6 Ω+−VR3​+−V1​12 VR4​8 ΩAR5​20 ΩB+−V2​5 VI1​I2​I3​

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

V1 = 12 VV2 = 5 VR1 = 10 ΩR2 = 30 ΩR3 = 6 ΩR4 = 8 ΩR5 = 20 Ω
VR3 = V

Answer key

  1. 1. I2 = 0.4752 A
  2. 2. IR4 = 1.067 A
  3. 3. VR2 = −18.21 V
  4. 4. I1 = 0.2182 A
  5. 5. VR4 = 8.9 V
  6. 6. VR3 = −0.9781 V

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