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​ = 3 ΩR2​ = 10 Ω+−V1​18 VR3​5 ΩAR4​12 ΩIR4​BI1​I2​

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

V1 = 18 VR1 = 3 ΩR2 = 10 ΩR3 = 5 ΩR4 = 12 Ω
IR4 = A
2.Easy
R1​ = 6 ΩR2​ = 6 Ω+−VR2​+−V1​15 VR3​8 ΩAR4​6 ΩBI1​I2​

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

V1 = 15 VR1 = 6 ΩR2 = 6 ΩR3 = 8 ΩR4 = 6 Ω
VR2 = V
3.Medium
R1​ = 5 ΩR2​ = 6 Ω+−V1​24 VR3​10 ΩA+−V2​12 VI1​I2​

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

V1 = 24 VV2 = 12 VR1 = 5 ΩR2 = 6 ΩR3 = 10 Ω
I1 = A
4.Medium
R1​ = 4 ΩR2​ = 8 Ω+−V1​24 VR3​8 Ω+−VR3​A+−V2​30 VI1​I2​

Use mesh analysis to find the voltage VR3 across R3 with the polarity shown.

V1 = 24 VV2 = 30 VR1 = 4 ΩR2 = 8 ΩR3 = 8 Ω
VR3 = V
5.Hard
R1​ = 3 ΩR2​ = 25 ΩR3​ = 4 Ω+−V1​10 VR4​20 ΩAR5​25 ΩB+−V2​6 VI1​I2​I3​

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

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

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

V1 = 24 VV2 = 24 VR1 = 4 ΩR2 = 4 ΩR3 = 10 ΩR4 = 6 ΩR5 = 4 Ω
I3 = A

Answer key

  1. 1. IR4 = 0.4712 A
  2. 2. VR2 = 3.333 V
  3. 3. I1 = 1.886 A
  4. 4. VR3 = 19.5 V
  5. 5. I2 = 0.1134 A
  6. 6. I3 = −1.481 A

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