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​ = 6 Ω+−V1​6 VR3​3 ΩAR4​12 ΩBI1​I2​

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

V1 = 6 VR1 = 2 ΩR2 = 6 ΩR3 = 3 ΩR4 = 12 Ω
I2 = A
2.Easy
R1​ = 3 Ω+−VR1​R2​ = 10 Ω+−V1​20 VR3​4 ΩAR4​6 ΩBI1​I2​

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

V1 = 20 VR1 = 3 ΩR2 = 10 ΩR3 = 4 ΩR4 = 6 Ω
VR1 = V
3.Medium
R1​ = 10 ΩR2​ = 2 Ω+−V1​30 VR3​5 ΩA+−V2​15 VI1​I2​

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

V1 = 30 VV2 = 15 VR1 = 10 ΩR2 = 2 ΩR3 = 5 Ω
I1 = A
4.Medium
R1​ = 3 ΩR2​ = 8 Ω+−V1​30 VR3​5 ΩIR3​A+−V2​6 VI1​I2​

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

V1 = 30 VV2 = 6 VR1 = 3 ΩR2 = 8 ΩR3 = 5 Ω
IR3 = A
5.Hard
R1​ = 10 ΩR2​ = 25 ΩR3​ = 12 Ω+−V1​6 VR4​20 Ω+−VR4​AR5​5 ΩB+−V2​18 VI1​I2​I3​

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

V1 = 6 VV2 = 18 VR1 = 10 ΩR2 = 25 ΩR3 = 12 ΩR4 = 20 ΩR5 = 5 Ω
VR4 = V
6.Hard
R1​ = 2 ΩR2​ = 6 ΩR3​ = 5 Ω+−V1​15 VR4​4 ΩIR4​AR5​30 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 = 2 ΩR2 = 6 ΩR3 = 5 ΩR4 = 4 ΩR5 = 30 Ω
IR4 = A

Answer key

  1. 1. I2 = 0.1875 A
  2. 2. VR1 = 9.677 V
  3. 3. I1 = 1.688 A
  4. 4. IR3 = 3.266 A
  5. 5. VR4 = 4.245 V
  6. 6. IR4 = 2.336 A

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