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​ = 5 Ω+−V1​12 VR3​3 ΩAR4​5 ΩBI1​I2​

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

V1 = 12 VR1 = 3 ΩR2 = 5 ΩR3 = 3 ΩR4 = 5 Ω
I2 = A
2.Easy
R1​ = 12 ΩR2​ = 3 Ω+−V1​12 VR3​8 ΩAR4​10 Ω+−VR4​BI1​I2​

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

V1 = 12 VR1 = 12 ΩR2 = 3 ΩR3 = 8 ΩR4 = 10 Ω
VR4 = V
3.Medium
R1​ = 6 ΩR2​ = 20 ΩIR2​+−V1​6 VR3​4 ΩA+−V2​6 VI1​I2​

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

V1 = 6 VV2 = 6 VR1 = 6 ΩR2 = 20 ΩR3 = 4 Ω
IR2 = A
4.Medium
R1​ = 4 ΩIR1​R2​ = 8 Ω+−V1​24 VR3​8 ΩA+−V2​10 VI1​I2​

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

V1 = 24 VV2 = 10 VR1 = 4 ΩR2 = 8 ΩR3 = 8 Ω
IR1 = A
5.Hard
R1​ = 2 ΩR2​ = 4 ΩR3​ = 15 Ω+−V1​10 VR4​5 ΩAR5​2 ΩIR5​B+−V2​24 VI1​I2​I3​

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

V1 = 10 VV2 = 24 VR1 = 2 ΩR2 = 4 ΩR3 = 15 ΩR4 = 5 ΩR5 = 2 Ω
IR5 = A
6.Hard
R1​ = 20 ΩR2​ = 15 ΩR3​ = 15 Ω+−V1​24 VR4​12 ΩIR4​AR5​2 ΩB+−V2​15 VI1​I2​I3​

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

V1 = 24 VV2 = 15 VR1 = 20 ΩR2 = 15 ΩR3 = 15 ΩR4 = 12 ΩR5 = 2 Ω
IR4 = A

Answer key

  1. 1. I2 = 0.5217 A
  2. 2. VR4 = 2.697 V
  3. 3. IR2 = −0.1607 A
  4. 4. IR1 = 2.375 A
  5. 5. IR5 = 1.942 A
  6. 6. IR4 = 0.5636 A

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