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​ = 6 ΩIR1​R2​ = 10 Ω+−V1​24 VR3​12 ΩAR4​6 ΩBI1​I2​

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

V1 = 24 VR1 = 6 ΩR2 = 10 ΩR3 = 12 ΩR4 = 6 Ω
IR1 = A
2.Easy
R1​ = 4 ΩR2​ = 12 Ω+−V1​20 VR3​2 ΩAR4​5 ΩBI1​I2​

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

V1 = 20 VR1 = 4 ΩR2 = 12 ΩR3 = 2 ΩR4 = 5 Ω
I2 = A
3.Medium
R1​ = 5 ΩR2​ = 10 Ω+−V1​30 VR3​2 ΩA+−V2​30 VI1​I2​

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

V1 = 30 VV2 = 30 VR1 = 5 ΩR2 = 10 ΩR3 = 2 Ω
I1 = A
4.Medium
R1​ = 20 ΩR2​ = 15 Ω+−V1​10 VR3​5 Ω+−VR3​A+−V2​30 VI1​I2​

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

V1 = 10 VV2 = 30 VR1 = 20 ΩR2 = 15 ΩR3 = 5 Ω
VR3 = V
5.Hard
R1​ = 4 ΩR2​ = 15 ΩR3​ = 8 Ω+−V1​6 VR4​12 ΩIR4​AR5​8 ΩB+−V2​10 VI1​I2​I3​

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

V1 = 6 VV2 = 10 VR1 = 4 ΩR2 = 15 ΩR3 = 8 ΩR4 = 12 ΩR5 = 8 Ω
IR4 = A
6.Hard
R1​ = 30 ΩR2​ = 6 ΩIR2​R3​ = 10 Ω+−V1​15 VR4​30 ΩAR5​8 ΩB+−V2​30 VI1​I2​I3​

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

V1 = 15 VV2 = 30 VR1 = 30 ΩR2 = 6 ΩR3 = 10 ΩR4 = 30 ΩR5 = 8 Ω
IR2 = A

Answer key

  1. 1. IR1 = 1.867 A
  2. 2. I2 = 0.3636 A
  3. 3. I1 = 3.75 A
  4. 4. VR3 = 7.895 V
  5. 5. IR4 = 0.3807 A
  6. 6. IR2 = −0.2293 A

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