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​8 VR3​6 ΩAR4​4 ΩIR4​BI1​I2​

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

V1 = 8 VR1 = 8 ΩR2 = 6 ΩR3 = 6 ΩR4 = 4 Ω
IR4 = A
2.Easy
R1​ = 2 ΩR2​ = 10 ΩIR2​+−V1​12 VR3​10 ΩAR4​8 ΩBI1​I2​

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

V1 = 12 VR1 = 2 ΩR2 = 10 ΩR3 = 10 ΩR4 = 8 Ω
IR2 = A
3.Medium
R1​ = 3 ΩR2​ = 6 Ω+−V1​10 VR3​4 ΩA+−V2​12 VI1​I2​

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

V1 = 10 VV2 = 12 VR1 = 3 ΩR2 = 6 ΩR3 = 4 Ω
I2 = A
4.Medium
R1​ = 5 Ω+−VR1​R2​ = 3 Ω+−V1​9 VR3​3 ΩA+−V2​24 VI1​I2​

Use mesh analysis to find the voltage VR1 across R1 with the polarity shown.

V1 = 9 VV2 = 24 VR1 = 5 ΩR2 = 3 ΩR3 = 3 Ω
VR1 = V
5.Hard
R1​ = 15 ΩR2​ = 6 ΩR3​ = 8 Ω+−V1​6 VR4​20 Ω+−VR4​AR5​8 ΩB+−V2​5 VI1​I2​I3​

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

V1 = 6 VV2 = 5 VR1 = 15 ΩR2 = 6 ΩR3 = 8 ΩR4 = 20 ΩR5 = 8 Ω
VR4 = V
6.Hard
R1​ = 8 ΩR2​ = 2 ΩR3​ = 6 Ω+−V1​6 VR4​6 ΩAR5​5 Ω+−VR5​B+−V2​10 VI1​I2​I3​

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

V1 = 6 VV2 = 10 VR1 = 8 ΩR2 = 2 ΩR3 = 6 ΩR4 = 6 ΩR5 = 5 Ω
VR5 = V

Answer key

  1. 1. IR4 = 0.2553 A
  2. 2. IR2 = 0.5085 A
  3. 3. I2 = −0.8148 A
  4. 4. VR1 = −2.308 V
  5. 5. VR4 = 3 V
  6. 6. VR5 = 3.885 V

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