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​ = 2 ΩR2​ = 6 Ω+−V1​24 VR3​3 ΩAR4​10 ΩBI1​I2​

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

V1 = 24 VR1 = 2 ΩR2 = 6 ΩR3 = 3 ΩR4 = 10 Ω
I1 = A
2.Easy
R1​ = 6 ΩR2​ = 2 Ω+−V1​24 VR3​4 ΩIR3​AR4​6 ΩBI1​I2​

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

V1 = 24 VR1 = 6 ΩR2 = 2 ΩR3 = 4 ΩR4 = 6 Ω
IR3 = A
3.Medium
R1​ = 15 ΩIR1​R2​ = 5 Ω+−V1​6 VR3​12 ΩA+−V2​24 VI1​I2​

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

V1 = 6 VV2 = 24 VR1 = 15 ΩR2 = 5 ΩR3 = 12 Ω
IR1 = A
4.Medium
R1​ = 4 ΩR2​ = 5 ΩIR2​+−V1​30 VR3​15 ΩA+−V2​6 VI1​I2​

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

V1 = 30 VV2 = 6 VR1 = 4 ΩR2 = 5 ΩR3 = 15 Ω
IR2 = A
5.Hard
R1​ = 4 ΩR2​ = 5 ΩR3​ = 3 Ω+−V1​6 VR4​30 ΩAR5​10 ΩIR5​B+−V2​12 VI1​I2​I3​

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

V1 = 6 VV2 = 12 VR1 = 4 ΩR2 = 5 ΩR3 = 3 ΩR4 = 30 ΩR5 = 10 Ω
IR5 = A
6.Hard
R1​ = 20 Ω+−VR1​R2​ = 6 ΩR3​ = 10 Ω+−V1​6 VR4​15 ΩAR5​20 ΩB+−V2​9 VI1​I2​I3​

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

V1 = 6 VV2 = 9 VR1 = 20 ΩR2 = 6 ΩR3 = 10 ΩR4 = 15 ΩR5 = 20 Ω
VR1 = V

Answer key

  1. 1. I1 = 5.302 A
  2. 2. IR3 = 1.846 A
  3. 3. IR1 = −0.5905 A
  4. 4. IR2 = 2.168 A
  5. 5. IR5 = 0.8392 A
  6. 6. VR1 = 2.045 V

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