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​ = 10 ΩIR2​+−V1​18 VR3​8 ΩAR4​4 ΩBI1​I2​

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

V1 = 18 VR1 = 12 ΩR2 = 10 ΩR3 = 8 ΩR4 = 4 Ω
IR2 = A
2.Easy
R1​ = 12 ΩR2​ = 6 Ω+−V1​20 VR3​4 ΩIR3​AR4​4 ΩBI1​I2​

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

V1 = 20 VR1 = 12 ΩR2 = 6 ΩR3 = 4 ΩR4 = 4 Ω
IR3 = A
3.Medium
R1​ = 12 ΩR2​ = 6 Ω+−V1​15 VR3​6 ΩA+−V2​6 VI1​I2​

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

V1 = 15 VV2 = 6 VR1 = 12 ΩR2 = 6 ΩR3 = 6 Ω
I1 = A
4.Medium
R1​ = 6 ΩR2​ = 8 Ω+−V1​9 VR3​15 ΩA+−V2​24 VI1​I2​

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

V1 = 9 VV2 = 24 VR1 = 6 ΩR2 = 8 ΩR3 = 15 Ω
I2 = A
5.Hard
R1​ = 2 ΩR2​ = 4 ΩR3​ = 8 Ω+−VR3​+−V1​24 VR4​20 ΩAR5​8 ΩB+−V2​15 VI1​I2​I3​

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

V1 = 24 VV2 = 15 VR1 = 2 ΩR2 = 4 ΩR3 = 8 ΩR4 = 20 ΩR5 = 8 Ω
VR3 = V
6.Hard
R1​ = 2 ΩR2​ = 4 ΩR3​ = 2 Ω+−V1​5 VR4​8 ΩAR5​15 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 5 VV2 = 12 VR1 = 2 ΩR2 = 4 ΩR3 = 2 ΩR4 = 8 ΩR5 = 15 Ω
I3 = A

Answer key

  1. 1. IR2 = 0.383 A
  2. 2. IR3 = 0.9615 A
  3. 3. I1 = 0.8 A
  4. 4. I2 = −1.43 A
  5. 5. VR3 = −1.667 V
  6. 6. I3 = −1.495 A

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