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​ = 8 ΩR2​ = 10 Ω+−V1​15 VR3​4 ΩAR4​4 ΩBI1​I2​

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

V1 = 15 VR1 = 8 ΩR2 = 10 ΩR3 = 4 ΩR4 = 4 Ω
I2 = A
2.Easy
R1​ = 6 ΩR2​ = 12 ΩIR2​+−V1​18 VR3​4 ΩAR4​4 ΩBI1​I2​

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

V1 = 18 VR1 = 6 ΩR2 = 12 ΩR3 = 4 ΩR4 = 4 Ω
IR2 = A
3.Medium
R1​ = 15 ΩR2​ = 10 Ω+−V1​12 VR3​4 ΩA+−V2​30 VI1​I2​

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

V1 = 12 VV2 = 30 VR1 = 15 ΩR2 = 10 ΩR3 = 4 Ω
I1 = A
4.Medium
R1​ = 3 Ω+−VR1​R2​ = 15 Ω+−V1​30 VR3​5 ΩA+−V2​6 VI1​I2​

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

V1 = 30 VV2 = 6 VR1 = 3 ΩR2 = 15 ΩR3 = 5 Ω
VR1 = V
5.Hard
R1​ = 20 ΩR2​ = 2 ΩR3​ = 10 ΩIR3​+−V1​18 VR4​15 ΩAR5​8 ΩB+−V2​24 VI1​I2​I3​

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

V1 = 18 VV2 = 24 VR1 = 20 ΩR2 = 2 ΩR3 = 10 ΩR4 = 15 ΩR5 = 8 Ω
IR3 = A
6.Hard
R1​ = 25 ΩR2​ = 4 ΩR3​ = 30 Ω+−V1​24 VR4​15 ΩAR5​5 ΩB+−V2​18 VI1​I2​I3​

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

V1 = 24 VV2 = 18 VR1 = 25 ΩR2 = 4 ΩR3 = 30 ΩR4 = 15 ΩR5 = 5 Ω
I3 = A

Answer key

  1. 1. I2 = 0.3 A
  2. 2. IR2 = 0.3913 A
  3. 3. I1 = 0.192 A
  4. 4. VR1 = 12.67 V
  5. 5. IR3 = −1.421 A
  6. 6. I3 = −0.4623 A

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