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​ = 6 ΩR2​ = 12 Ω+−V1​10 VR3​8 ΩIR3​AR4​3 ΩBI1​I2​

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

V1 = 10 VR1 = 6 ΩR2 = 12 ΩR3 = 8 ΩR4 = 3 Ω
IR3 = A
2.Easy
R1​ = 5 ΩR2​ = 8 Ω+−V1​12 VR3​2 ΩAR4​4 ΩBI1​I2​

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

V1 = 12 VR1 = 5 ΩR2 = 8 ΩR3 = 2 ΩR4 = 4 Ω
I2 = A
3.Medium
R1​ = 10 ΩR2​ = 5 ΩIR2​+−V1​12 VR3​8 ΩA+−V2​15 VI1​I2​

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

V1 = 12 VV2 = 15 VR1 = 10 ΩR2 = 5 ΩR3 = 8 Ω
IR2 = A
4.Medium
R1​ = 12 Ω+−VR1​R2​ = 3 Ω+−V1​30 VR3​3 ΩA+−V2​30 VI1​I2​

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

V1 = 30 VV2 = 30 VR1 = 12 ΩR2 = 3 ΩR3 = 3 Ω
VR1 = V
5.Hard
R1​ = 15 ΩR2​ = 8 ΩR3​ = 5 Ω+−V1​36 VR4​8 ΩAR5​20 ΩB+−V2​24 VI1​I2​I3​

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

V1 = 36 VV2 = 24 VR1 = 15 ΩR2 = 8 ΩR3 = 5 ΩR4 = 8 ΩR5 = 20 Ω
I1 = A
6.Hard
R1​ = 3 ΩR2​ = 25 ΩR3​ = 2 Ω+−V1​15 VR4​25 ΩIR4​AR5​20 ΩB+−V2​5 VI1​I2​I3​

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

V1 = 15 VV2 = 5 VR1 = 3 ΩR2 = 25 ΩR3 = 2 ΩR4 = 25 ΩR5 = 20 Ω
IR4 = A

Answer key

  1. 1. IR3 = 0.5814 A
  2. 2. I2 = 0.2553 A
  3. 3. IR2 = −1.024 A
  4. 4. VR1 = 13.33 V
  5. 5. I1 = 1.43 A
  6. 6. IR4 = 0.5036 A

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