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​ = 10 ΩR2​ = 3 Ω+−V1​18 VR3​6 ΩAR4​12 ΩIR4​BI1​I2​

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

V1 = 18 VR1 = 10 ΩR2 = 3 ΩR3 = 6 ΩR4 = 12 Ω
IR4 = A
2.Easy
R1​ = 2 ΩIR1​R2​ = 5 Ω+−V1​24 VR3​6 ΩAR4​10 ΩBI1​I2​

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

V1 = 24 VR1 = 2 ΩR2 = 5 ΩR3 = 6 ΩR4 = 10 Ω
IR1 = A
3.Medium
R1​ = 4 ΩR2​ = 2 Ω+−V1​24 VR3​6 ΩIR3​A+−V2​12 VI1​I2​

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

V1 = 24 VV2 = 12 VR1 = 4 ΩR2 = 2 ΩR3 = 6 Ω
IR3 = A
4.Medium
R1​ = 4 ΩR2​ = 3 Ω+−VR2​+−V1​30 VR3​10 ΩA+−V2​30 VI1​I2​

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

V1 = 30 VV2 = 30 VR1 = 4 ΩR2 = 3 ΩR3 = 10 Ω
VR2 = V
5.Hard
R1​ = 4 Ω+−VR1​R2​ = 10 ΩR3​ = 4 Ω+−V1​24 VR4​15 ΩAR5​6 ΩB+−V2​5 VI1​I2​I3​

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

V1 = 24 VV2 = 5 VR1 = 4 ΩR2 = 10 ΩR3 = 4 ΩR4 = 15 ΩR5 = 6 Ω
VR1 = V
6.Hard
R1​ = 12 ΩR2​ = 3 ΩR3​ = 5 Ω+−V1​18 VR4​5 ΩAR5​4 ΩB+−V2​6 VI1​I2​I3​

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

V1 = 18 VV2 = 6 VR1 = 12 ΩR2 = 3 ΩR3 = 5 ΩR4 = 5 ΩR5 = 4 Ω
I1 = A

Answer key

  1. 1. IR4 = 0.36 A
  2. 2. IR1 = 3.818 A
  3. 3. IR3 = 2.182 A
  4. 4. VR2 = −4.39 V
  5. 5. VR1 = 8.29 V
  6. 6. I1 = 1.147 A

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