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​ = 5 ΩR2​ = 3 Ω+−V1​24 VR3​3 ΩAR4​10 ΩBI1​I2​

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

V1 = 24 VR1 = 5 ΩR2 = 3 ΩR3 = 3 ΩR4 = 10 Ω
I1 = A
2.Easy
R1​ = 5 ΩR2​ = 3 ΩIR2​+−V1​8 VR3​12 ΩAR4​5 ΩBI1​I2​

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

V1 = 8 VR1 = 5 ΩR2 = 3 ΩR3 = 12 ΩR4 = 5 Ω
IR2 = A
3.Medium
R1​ = 10 ΩR2​ = 12 Ω+−VR2​+−V1​6 VR3​10 ΩA+−V2​12 VI1​I2​

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

V1 = 6 VV2 = 12 VR1 = 10 ΩR2 = 12 ΩR3 = 10 Ω
VR2 = V
4.Medium
R1​ = 10 ΩR2​ = 3 Ω+−V1​12 VR3​20 ΩA+−V2​18 VI1​I2​

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

V1 = 12 VV2 = 18 VR1 = 10 ΩR2 = 3 ΩR3 = 20 Ω
I2 = A
5.Hard
R1​ = 4 ΩR2​ = 6 ΩR3​ = 4 Ω+−V1​12 VR4​4 ΩAR5​20 Ω+−VR5​B+−V2​24 VI1​I2​I3​

Use mesh analysis to find the voltage VR5 across R5 with the polarity shown.

V1 = 12 VV2 = 24 VR1 = 4 ΩR2 = 6 ΩR3 = 4 ΩR4 = 4 ΩR5 = 20 Ω
VR5 = V
6.Hard
R1​ = 2 ΩR2​ = 25 ΩR3​ = 15 ΩIR3​+−V1​10 VR4​30 ΩAR5​6 ΩB+−V2​15 VI1​I2​I3​

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

V1 = 10 VV2 = 15 VR1 = 2 ΩR2 = 25 ΩR3 = 15 ΩR4 = 30 ΩR5 = 6 Ω
IR3 = A

Answer key

  1. 1. I1 = 3.227 A
  2. 2. IR2 = 0.4898 A
  3. 3. VR2 = −6.353 V
  4. 4. I2 = −1.034 A
  5. 5. VR5 = 15.88 V
  6. 6. IR3 = −0.6676 A

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