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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Name: ____________________   Date: ____________

1.Easy
R1​ = 8 ΩR2​ = 5 Ω+−V1​15 VR3​10 ΩAR4​5 ΩBI1​I2​

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

V1 = 15 VR1 = 8 ΩR2 = 5 ΩR3 = 10 ΩR4 = 5 Ω
I1 = A
2.Easy
R1​ = 10 ΩR2​ = 8 Ω+−VR2​+−V1​24 VR3​10 ΩAR4​5 ΩBI1​I2​

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

V1 = 24 VR1 = 10 ΩR2 = 8 ΩR3 = 10 ΩR4 = 5 Ω
VR2 = V
3.Medium
R1​ = 8 ΩIR1​R2​ = 12 Ω+−V1​30 VR3​5 ΩA+−V2​30 VI1​I2​

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

V1 = 30 VV2 = 30 VR1 = 8 ΩR2 = 12 ΩR3 = 5 Ω
IR1 = A
4.Medium
R1​ = 6 ΩR2​ = 10 Ω+−V1​24 VR3​12 Ω+−VR3​A+−V2​6 VI1​I2​

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

V1 = 24 VV2 = 6 VR1 = 6 ΩR2 = 10 ΩR3 = 12 Ω
VR3 = V
5.Hard
R1​ = 5 ΩR2​ = 15 ΩR3​ = 8 Ω+−V1​6 VR4​15 ΩAR5​3 ΩIR5​B+−V2​30 VI1​I2​I3​

Use mesh analysis to find the current IR5 through R5 in the direction of the arrow.

V1 = 6 VV2 = 30 VR1 = 5 ΩR2 = 15 ΩR3 = 8 ΩR4 = 15 ΩR5 = 3 Ω
IR5 = A
6.Hard
R1​ = 8 ΩR2​ = 10 ΩR3​ = 8 ΩIR3​+−V1​36 VR4​15 ΩAR5​20 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 36 VV2 = 12 VR1 = 8 ΩR2 = 10 ΩR3 = 8 ΩR4 = 15 ΩR5 = 20 Ω
IR3 = A

Answer key

  1. 1. I1 = 1.154 A
  2. 2. VR2 = 5.333 V
  3. 3. IR1 = 1.837 A
  4. 4. VR3 = 13.14 V
  5. 5. IR5 = 2.599 A
  6. 6. IR3 = 0.08012 A

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