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​ = 12 ΩR2​ = 2 Ω+−V1​20 VR3​2 ΩAR4​3 ΩIR4​BI1​I2​

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

V1 = 20 VR1 = 12 ΩR2 = 2 ΩR3 = 2 ΩR4 = 3 Ω
IR4 = A
2.Easy
R1​ = 6 Ω+−VR1​R2​ = 6 Ω+−V1​24 VR3​6 ΩAR4​2 ΩBI1​I2​

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

V1 = 24 VR1 = 6 ΩR2 = 6 ΩR3 = 6 ΩR4 = 2 Ω
VR1 = V
3.Medium
R1​ = 2 ΩR2​ = 15 Ω+−V1​18 VR3​12 ΩA+−V2​6 VI1​I2​

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

V1 = 18 VV2 = 6 VR1 = 2 ΩR2 = 15 ΩR3 = 12 Ω
I2 = A
4.Medium
R1​ = 3 ΩR2​ = 5 Ω+−V1​12 VR3​4 ΩIR3​A+−V2​15 VI1​I2​

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

V1 = 12 VV2 = 15 VR1 = 3 ΩR2 = 5 ΩR3 = 4 Ω
IR3 = A
5.Hard
R1​ = 4 ΩR2​ = 15 ΩR3​ = 25 Ω+−V1​10 VR4​10 ΩAR5​2 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 10 VV2 = 12 VR1 = 4 ΩR2 = 15 ΩR3 = 25 ΩR4 = 10 ΩR5 = 2 Ω
I3 = A
6.Hard
R1​ = 30 ΩR2​ = 2 Ω+−VR2​R3​ = 4 Ω+−V1​12 VR4​10 ΩAR5​3 ΩB+−V2​36 VI1​I2​I3​

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

V1 = 12 VV2 = 36 VR1 = 30 ΩR2 = 2 ΩR3 = 4 ΩR4 = 10 ΩR5 = 3 Ω
VR2 = V

Answer key

  1. 1. IR4 = 0.4255 A
  2. 2. VR1 = 15.27 V
  3. 3. I2 = 0.5641 A
  4. 4. IR3 = 2.234 A
  5. 5. I3 = −0.4209 A
  6. 6. VR2 = −2.217 V

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