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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Name: ____________________   Date: ____________

1.Easy
R1​ = 12 ΩR2​ = 4 Ω+−V1​20 VR3​3 ΩAR4​10 ΩBI1​I2​

Use mesh analysis to find the mesh current I1 (clockwise).

V1 = 20 VR1 = 12 ΩR2 = 4 ΩR3 = 3 ΩR4 = 10 Ω
I1 = A
2.Easy
R1​ = 10 ΩR2​ = 6 Ω+−V1​12 VR3​5 ΩAR4​8 ΩIR4​BI1​I2​

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

V1 = 12 VR1 = 10 ΩR2 = 6 ΩR3 = 5 ΩR4 = 8 Ω
IR4 = A
3.Medium
R1​ = 6 ΩIR1​R2​ = 20 Ω+−V1​18 VR3​3 ΩA+−V2​30 VI1​I2​

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

V1 = 18 VV2 = 30 VR1 = 6 ΩR2 = 20 ΩR3 = 3 Ω
IR1 = A
4.Medium
R1​ = 12 Ω+−VR1​R2​ = 5 Ω+−V1​30 VR3​3 ΩA+−V2​9 VI1​I2​

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

V1 = 30 VV2 = 9 VR1 = 12 ΩR2 = 5 ΩR3 = 3 Ω
VR1 = V
5.Hard
R1​ = 20 ΩR2​ = 10 ΩR3​ = 2 Ω+−V1​36 VR4​8 Ω+−VR4​AR5​8 ΩB+−V2​9 VI1​I2​I3​

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

V1 = 36 VV2 = 9 VR1 = 20 ΩR2 = 10 ΩR3 = 2 ΩR4 = 8 ΩR5 = 8 Ω
VR4 = V
6.Hard
R1​ = 4 ΩR2​ = 12 ΩR3​ = 10 Ω+−V1​5 VR4​15 ΩAR5​2 ΩB+−V2​6 VI1​I2​I3​

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

V1 = 5 VV2 = 6 VR1 = 4 ΩR2 = 12 ΩR3 = 10 ΩR4 = 15 ΩR5 = 2 Ω
I2 = A

Answer key

  1. 1. I1 = 1.382 A
  2. 2. IR4 = 0.2308 A
  3. 3. IR1 = 1.636 A
  4. 4. VR1 = 23.03 V
  5. 5. VR4 = 9.267 V
  6. 6. I2 = 0.1752 A

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