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​ = 10 Ω+−V1​20 VR3​12 ΩIR3​AR4​3 ΩBI1​I2​

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

V1 = 20 VR1 = 6 ΩR2 = 10 ΩR3 = 12 ΩR4 = 3 Ω
IR3 = A
2.Easy
R1​ = 2 ΩR2​ = 8 Ω+−V1​10 VR3​3 ΩAR4​10 Ω+−VR4​BI1​I2​

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

V1 = 10 VR1 = 2 ΩR2 = 8 ΩR3 = 3 ΩR4 = 10 Ω
VR4 = V
3.Medium
R1​ = 15 Ω+−VR1​R2​ = 20 Ω+−V1​15 VR3​10 ΩA+−V2​9 VI1​I2​

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

V1 = 15 VV2 = 9 VR1 = 15 ΩR2 = 20 ΩR3 = 10 Ω
VR1 = V
4.Medium
R1​ = 20 ΩR2​ = 20 ΩIR2​+−V1​18 VR3​8 ΩA+−V2​18 VI1​I2​

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

V1 = 18 VV2 = 18 VR1 = 20 ΩR2 = 20 ΩR3 = 8 Ω
IR2 = A
5.Hard
R1​ = 6 ΩR2​ = 3 ΩR3​ = 6 Ω+−V1​24 VR4​2 ΩAR5​4 ΩIR5​B+−V2​12 VI1​I2​I3​

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

V1 = 24 VV2 = 12 VR1 = 6 ΩR2 = 3 ΩR3 = 6 ΩR4 = 2 ΩR5 = 4 Ω
IR5 = A
6.Hard
R1​ = 4 ΩR2​ = 20 ΩR3​ = 2 Ω+−V1​24 VR4​4 ΩAR5​20 ΩB+−V2​30 VI1​I2​I3​

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

V1 = 24 VV2 = 30 VR1 = 4 ΩR2 = 20 ΩR3 = 2 ΩR4 = 4 ΩR5 = 20 Ω
I3 = A

Answer key

  1. 1. IR3 = 0.8497 A
  2. 2. VR4 = 3.125 V
  3. 3. VR1 = 8.308 V
  4. 4. IR2 = −0.5 A
  5. 5. IR5 = 1.304 A
  6. 6. I3 = −1.947 A

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