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​ = 12 ΩR2​ = 3 Ω+−V1​6 VR3​8 ΩIR3​AR4​2 ΩBI1​I2​

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

V1 = 6 VR1 = 12 ΩR2 = 3 ΩR3 = 8 ΩR4 = 2 Ω
IR3 = A
2.Easy
R1​ = 5 ΩR2​ = 3 Ω+−VR2​+−V1​12 VR3​8 ΩAR4​12 ΩBI1​I2​

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

V1 = 12 VR1 = 5 ΩR2 = 3 ΩR3 = 8 ΩR4 = 12 Ω
VR2 = V
3.Medium
R1​ = 2 ΩR2​ = 10 ΩIR2​+−V1​15 VR3​12 ΩA+−V2​12 VI1​I2​

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

V1 = 15 VV2 = 12 VR1 = 2 ΩR2 = 10 ΩR3 = 12 Ω
IR2 = A
4.Medium
R1​ = 12 ΩR2​ = 2 Ω+−V1​6 VR3​10 Ω+−VR3​A+−V2​12 VI1​I2​

Use mesh analysis to find the voltage VR3 across R3 with the polarity shown.

V1 = 6 VV2 = 12 VR1 = 12 ΩR2 = 2 ΩR3 = 10 Ω
VR3 = V
5.Hard
R1​ = 3 ΩR2​ = 6 ΩR3​ = 3 Ω+−V1​12 VR4​10 ΩIR4​AR5​30 ΩB+−V2​9 VI1​I2​I3​

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

V1 = 12 VV2 = 9 VR1 = 3 ΩR2 = 6 ΩR3 = 3 ΩR4 = 10 ΩR5 = 30 Ω
IR4 = A
6.Hard
R1​ = 5 ΩR2​ = 5 ΩR3​ = 8 Ω+−V1​6 VR4​6 ΩAR5​30 ΩB+−V2​30 VI1​I2​I3​

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

V1 = 6 VV2 = 30 VR1 = 5 ΩR2 = 5 ΩR3 = 8 ΩR4 = 6 ΩR5 = 30 Ω
I2 = A

Answer key

  1. 1. IR3 = 0.1531 A
  2. 2. VR2 = 1.226 V
  3. 3. IR2 = 0.07317 A
  4. 4. VR3 = 9.512 V
  5. 5. IR4 = 0.9011 A
  6. 6. I2 = −1.453 A

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