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​ = 10 ΩR2​ = 6 ΩIR2​+−V1​24 VR3​3 ΩAR4​2 ΩBI1​I2​

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

V1 = 24 VR1 = 10 ΩR2 = 6 ΩR3 = 3 ΩR4 = 2 Ω
IR2 = A
2.Easy
R1​ = 3 ΩIR1​R2​ = 6 Ω+−V1​10 VR3​2 ΩAR4​3 ΩBI1​I2​

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

V1 = 10 VR1 = 3 ΩR2 = 6 ΩR3 = 2 ΩR4 = 3 Ω
IR1 = A
3.Medium
R1​ = 2 ΩR2​ = 10 Ω+−V1​24 VR3​4 ΩA+−V2​9 VI1​I2​

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

V1 = 24 VV2 = 9 VR1 = 2 ΩR2 = 10 ΩR3 = 4 Ω
I2 = A
4.Medium
R1​ = 4 ΩR2​ = 8 Ω+−VR2​+−V1​24 VR3​6 ΩA+−V2​24 VI1​I2​

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

V1 = 24 VV2 = 24 VR1 = 4 ΩR2 = 8 ΩR3 = 6 Ω
VR2 = V
5.Hard
R1​ = 20 ΩR2​ = 8 ΩR3​ = 10 Ω+−V1​9 VR4​15 ΩAR5​2 ΩB+−V2​15 VI1​I2​I3​

Use mesh analysis to find the mesh current I3 (clockwise).

V1 = 9 VV2 = 15 VR1 = 20 ΩR2 = 8 ΩR3 = 10 ΩR4 = 15 ΩR5 = 2 Ω
I3 = A
6.Hard
R1​ = 15 ΩR2​ = 6 ΩR3​ = 15 ΩIR3​+−V1​10 VR4​2 ΩAR5​10 ΩB+−V2​24 VI1​I2​I3​

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

V1 = 10 VV2 = 24 VR1 = 15 ΩR2 = 6 ΩR3 = 15 ΩR4 = 2 ΩR5 = 10 Ω
IR3 = A

Answer key

  1. 1. IR2 = 0.5373 A
  2. 2. IR1 = 2.157 A
  3. 3. I2 = 0.6176 A
  4. 4. VR2 = −7.385 V
  5. 5. I3 = −1.238 A
  6. 6. IR3 = −1.205 A

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