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​ = 4 ΩR2​ = 8 Ω+−VR2​+−V1​18 VR3​5 ΩAR4​5 ΩBI1​I2​

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

V1 = 18 VR1 = 4 ΩR2 = 8 ΩR3 = 5 ΩR4 = 5 Ω
VR2 = V
2.Easy
R1​ = 5 ΩR2​ = 4 Ω+−V1​15 VR3​10 ΩAR4​3 ΩBI1​I2​

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

V1 = 15 VR1 = 5 ΩR2 = 4 ΩR3 = 10 ΩR4 = 3 Ω
I2 = A
3.Medium
R1​ = 8 Ω+−VR1​R2​ = 10 Ω+−V1​12 VR3​5 ΩA+−V2​24 VI1​I2​

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

V1 = 12 VV2 = 24 VR1 = 8 ΩR2 = 10 ΩR3 = 5 Ω
VR1 = V
4.Medium
R1​ = 12 ΩR2​ = 8 Ω+−V1​15 VR3​15 ΩA+−V2​10 VI1​I2​

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

V1 = 15 VV2 = 10 VR1 = 12 ΩR2 = 8 ΩR3 = 15 Ω
I1 = A
5.Hard
R1​ = 2 ΩIR1​R2​ = 20 ΩR3​ = 10 Ω+−V1​12 VR4​3 ΩAR5​20 ΩB+−V2​5 VI1​I2​I3​

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

V1 = 12 VV2 = 5 VR1 = 2 ΩR2 = 20 ΩR3 = 10 ΩR4 = 3 ΩR5 = 20 Ω
IR1 = A
6.Hard
R1​ = 3 ΩR2​ = 2 ΩR3​ = 4 Ω+−V1​24 VR4​25 ΩAR5​30 ΩB+−V2​36 VI1​I2​I3​

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

V1 = 24 VV2 = 36 VR1 = 3 ΩR2 = 2 ΩR3 = 4 ΩR4 = 25 ΩR5 = 30 Ω
I3 = A

Answer key

  1. 1. VR2 = 5.255 V
  2. 2. I2 = 0.9677 A
  3. 3. VR1 = 2.824 V
  4. 4. I1 = 0.4924 A
  5. 5. IR1 = 2.483 A
  6. 6. I3 = −2.17 A

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