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​ = 3 ΩR2​ = 4 Ω+−V1​18 VR3​2 ΩAR4​10 Ω+−VR4​BI1​I2​

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

V1 = 18 VR1 = 3 ΩR2 = 4 ΩR3 = 2 ΩR4 = 10 Ω
VR4 = V
2.Easy
R1​ = 3 ΩR2​ = 8 Ω+−V1​10 VR3​5 ΩAR4​8 ΩBI1​I2​

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

V1 = 10 VR1 = 3 ΩR2 = 8 ΩR3 = 5 ΩR4 = 8 Ω
I2 = A
3.Medium
R1​ = 10 ΩIR1​R2​ = 8 Ω+−V1​12 VR3​20 ΩA+−V2​9 VI1​I2​

Use mesh analysis to find the current IR1 through R1 in the direction of the arrow.

V1 = 12 VV2 = 9 VR1 = 10 ΩR2 = 8 ΩR3 = 20 Ω
IR1 = A
4.Medium
R1​ = 10 Ω+−VR1​R2​ = 12 Ω+−V1​10 VR3​2 ΩA+−V2​10 VI1​I2​

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

V1 = 10 VV2 = 10 VR1 = 10 ΩR2 = 12 ΩR3 = 2 Ω
VR1 = V
5.Hard
R1​ = 25 ΩR2​ = 5 ΩR3​ = 2 Ω+−V1​24 VR4​2 ΩAR5​6 ΩIR5​B+−V2​30 VI1​I2​I3​

Use mesh analysis to find the current IR5 through R5 in the direction of the arrow.

V1 = 24 VV2 = 30 VR1 = 25 ΩR2 = 5 ΩR3 = 2 ΩR4 = 2 ΩR5 = 6 Ω
IR5 = A
6.Hard
R1​ = 20 ΩR2​ = 2 ΩR3​ = 25 Ω+−V1​6 VR4​20 ΩIR4​AR5​2 ΩB+−V2​24 VI1​I2​I3​

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

V1 = 6 VV2 = 24 VR1 = 20 ΩR2 = 2 ΩR3 = 25 ΩR4 = 20 ΩR5 = 2 Ω
IR4 = A

Answer key

  1. 1. VR4 = 4.737 V
  2. 2. I2 = 0.3497 A
  3. 3. IR1 = 0.3545 A
  4. 4. VR1 = 7.317 V
  5. 5. IR5 = 3.13 A
  6. 6. IR4 = 0.1059 A

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