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​ = 8 ΩR2​ = 12 Ω+−V1​24 VR3​6 ΩAR4​12 ΩBI1​I2​

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

V1 = 24 VR1 = 8 ΩR2 = 12 ΩR3 = 6 ΩR4 = 12 Ω
I2 = A
2.Easy
R1​ = 3 ΩR2​ = 12 Ω+−V1​8 VR3​3 ΩAR4​6 ΩBI1​I2​

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

V1 = 8 VR1 = 3 ΩR2 = 12 ΩR3 = 3 ΩR4 = 6 Ω
I1 = A
3.Medium
R1​ = 4 ΩIR1​R2​ = 6 Ω+−V1​12 VR3​2 ΩA+−V2​18 VI1​I2​

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

V1 = 12 VV2 = 18 VR1 = 4 ΩR2 = 6 ΩR3 = 2 Ω
IR1 = A
4.Medium
R1​ = 3 ΩR2​ = 3 ΩIR2​+−V1​18 VR3​4 ΩA+−V2​12 VI1​I2​

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

V1 = 18 VV2 = 12 VR1 = 3 ΩR2 = 3 ΩR3 = 4 Ω
IR2 = A
5.Hard
R1​ = 12 ΩR2​ = 8 ΩR3​ = 25 Ω+−V1​24 VR4​25 ΩIR4​AR5​20 ΩB+−V2​5 VI1​I2​I3​

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

V1 = 24 VV2 = 5 VR1 = 12 ΩR2 = 8 ΩR3 = 25 ΩR4 = 25 ΩR5 = 20 Ω
IR4 = A
6.Hard
R1​ = 30 ΩR2​ = 3 Ω+−VR2​R3​ = 20 Ω+−V1​6 VR4​15 ΩAR5​8 ΩB+−V2​10 VI1​I2​I3​

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

V1 = 6 VV2 = 10 VR1 = 30 ΩR2 = 3 ΩR3 = 20 ΩR4 = 15 ΩR5 = 8 Ω
VR2 = V

Answer key

  1. 1. I2 = 0.375 A
  2. 2. I1 = 1.436 A
  3. 3. IR1 = 1.364 A
  4. 4. IR2 = −0.3636 A
  5. 5. IR4 = 0.4819 A
  6. 6. VR2 = −0.1374 V

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