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​ = 5 Ω+−V1​10 VR3​8 ΩAR4​12 ΩIR4​BI1​I2​

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

V1 = 10 VR1 = 10 ΩR2 = 5 ΩR3 = 8 ΩR4 = 12 Ω
IR4 = A
2.Easy
R1​ = 12 ΩR2​ = 12 Ω+−V1​18 VR3​5 ΩAR4​3 ΩBI1​I2​

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

V1 = 18 VR1 = 12 ΩR2 = 12 ΩR3 = 5 ΩR4 = 3 Ω
I1 = A
3.Medium
R1​ = 3 Ω+−VR1​R2​ = 8 Ω+−V1​12 VR3​8 ΩA+−V2​6 VI1​I2​

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

V1 = 12 VV2 = 6 VR1 = 3 ΩR2 = 8 ΩR3 = 8 Ω
VR1 = V
4.Medium
R1​ = 20 ΩR2​ = 5 Ω+−V1​15 VR3​15 ΩA+−V2​18 VI1​I2​

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

V1 = 15 VV2 = 18 VR1 = 20 ΩR2 = 5 ΩR3 = 15 Ω
I2 = A
5.Hard
R1​ = 2 ΩR2​ = 30 ΩR3​ = 3 Ω+−V1​30 VR4​25 ΩAR5​10 ΩB+−V2​6 VI1​I2​I3​

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

V1 = 30 VV2 = 6 VR1 = 2 ΩR2 = 30 ΩR3 = 3 ΩR4 = 25 ΩR5 = 10 Ω
I3 = A
6.Hard
R1​ = 6 ΩR2​ = 25 ΩR3​ = 15 ΩIR3​+−V1​6 VR4​4 ΩAR5​30 ΩB+−V2​10 VI1​I2​I3​

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

V1 = 6 VV2 = 10 VR1 = 6 ΩR2 = 25 ΩR3 = 15 ΩR4 = 4 ΩR5 = 30 Ω
IR3 = A

Answer key

  1. 1. IR4 = 0.2073 A
  2. 2. I1 = 1.143 A
  3. 3. VR1 = 3.857 V
  4. 4. I2 = −0.8526 A
  5. 5. I3 = 0.06005 A
  6. 6. IR3 = −0.2983 A

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