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​ = 4 ΩR2​ = 5 Ω+−V1​6 VR3​5 ΩAR4​6 ΩBI1​I2​

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

V1 = 6 VR1 = 4 ΩR2 = 5 ΩR3 = 5 ΩR4 = 6 Ω
I2 = A
2.Easy
R1​ = 12 Ω+−VR1​R2​ = 6 Ω+−V1​12 VR3​4 ΩAR4​12 ΩBI1​I2​

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

V1 = 12 VR1 = 12 ΩR2 = 6 ΩR3 = 4 ΩR4 = 12 Ω
VR1 = V
3.Medium
R1​ = 6 ΩR2​ = 8 Ω+−V1​15 VR3​20 ΩA+−V2​15 VI1​I2​

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

V1 = 15 VV2 = 15 VR1 = 6 ΩR2 = 8 ΩR3 = 20 Ω
I1 = A
4.Medium
R1​ = 4 ΩR2​ = 20 ΩIR2​+−V1​12 VR3​5 ΩA+−V2​12 VI1​I2​

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

V1 = 12 VV2 = 12 VR1 = 4 ΩR2 = 20 ΩR3 = 5 Ω
IR2 = A
5.Hard
R1​ = 4 ΩR2​ = 15 ΩR3​ = 4 Ω+−V1​24 VR4​4 ΩAR5​15 ΩIR5​B+−V2​9 VI1​I2​I3​

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

V1 = 24 VV2 = 9 VR1 = 4 ΩR2 = 15 ΩR3 = 4 ΩR4 = 4 ΩR5 = 15 Ω
IR5 = A
6.Hard
R1​ = 6 ΩR2​ = 30 ΩR3​ = 2 Ω+−V1​18 VR4​12 ΩAR5​8 Ω+−VR5​B+−V2​18 VI1​I2​I3​

Use mesh analysis to find the voltage VR5 across R5 with the polarity shown.

V1 = 18 VV2 = 18 VR1 = 6 ΩR2 = 30 ΩR3 = 2 ΩR4 = 12 ΩR5 = 8 Ω
VR5 = V

Answer key

  1. 1. I2 = 0.2521 A
  2. 2. VR1 = 9.429 V
  3. 3. I1 = 0.3659 A
  4. 4. IR2 = −0.24 A
  5. 5. IR5 = 0.5248 A
  6. 6. VR5 = 14.29 V

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