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​ = 2 ΩR2​ = 2 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 = 2 ΩR2 = 2 ΩR3 = 4 ΩR4 = 4 Ω
IR3 = A
2.Easy
R1​ = 6 ΩR2​ = 2 Ω+−V1​12 VR3​3 ΩAR4​8 Ω+−VR4​BI1​I2​

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

V1 = 12 VR1 = 6 ΩR2 = 2 ΩR3 = 3 ΩR4 = 8 Ω
VR4 = V
3.Medium
R1​ = 5 ΩR2​ = 8 Ω+−VR2​+−V1​18 VR3​15 ΩA+−V2​9 VI1​I2​

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

V1 = 18 VV2 = 9 VR1 = 5 ΩR2 = 8 ΩR3 = 15 Ω
VR2 = V
4.Medium
R1​ = 20 ΩR2​ = 2 ΩIR2​+−V1​12 VR3​15 ΩA+−V2​12 VI1​I2​

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

V1 = 12 VV2 = 12 VR1 = 20 ΩR2 = 2 ΩR3 = 15 Ω
IR2 = A
5.Hard
R1​ = 15 ΩR2​ = 2 ΩR3​ = 30 Ω+−V1​10 VR4​15 ΩAR5​5 ΩIR5​B+−V2​6 VI1​I2​I3​

Use mesh analysis to find the current IR5 through R5 in the direction of the arrow.

V1 = 10 VV2 = 6 VR1 = 15 ΩR2 = 2 ΩR3 = 30 ΩR4 = 15 ΩR5 = 5 Ω
IR5 = A
6.Hard
R1​ = 12 ΩR2​ = 2 ΩR3​ = 15 Ω+−V1​24 VR4​4 ΩAR5​3 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 24 VV2 = 12 VR1 = 12 ΩR2 = 2 ΩR3 = 15 ΩR4 = 4 ΩR5 = 3 Ω
I3 = A

Answer key

  1. 1. IR3 = 2.727 A
  2. 2. VR4 = 2.667 V
  3. 3. VR2 = 3.064 V
  4. 4. IR2 = −0.6486 A
  5. 5. IR5 = 0.429 A
  6. 6. I3 = −0.5778 A

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