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​ = 2 ΩIR1​R2​ = 5 Ω+−V1​12 VR3​10 ΩAR4​4 ΩBI1​I2​

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

V1 = 12 VR1 = 2 ΩR2 = 5 ΩR3 = 10 ΩR4 = 4 Ω
IR1 = A
2.Easy
R1​ = 5 ΩR2​ = 10 Ω+−V1​12 VR3​12 ΩAR4​8 ΩBI1​I2​

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

V1 = 12 VR1 = 5 ΩR2 = 10 ΩR3 = 12 ΩR4 = 8 Ω
I1 = A
3.Medium
R1​ = 8 ΩR2​ = 12 Ω+−V1​10 VR3​15 ΩIR3​A+−V2​24 VI1​I2​

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

V1 = 10 VV2 = 24 VR1 = 8 ΩR2 = 12 ΩR3 = 15 Ω
IR3 = A
4.Medium
R1​ = 2 ΩR2​ = 20 Ω+−V1​12 VR3​20 ΩA+−V2​9 VI1​I2​

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

V1 = 12 VV2 = 9 VR1 = 2 ΩR2 = 20 ΩR3 = 20 Ω
I2 = A
5.Hard
R1​ = 25 ΩR2​ = 5 ΩR3​ = 10 Ω+−V1​24 VR4​30 ΩAR5​5 ΩIR5​B+−V2​10 VI1​I2​I3​

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

V1 = 24 VV2 = 10 VR1 = 25 ΩR2 = 5 ΩR3 = 10 ΩR4 = 30 ΩR5 = 5 Ω
IR5 = A
6.Hard
R1​ = 10 ΩR2​ = 3 ΩR3​ = 6 Ω+−V1​10 VR4​4 ΩIR4​AR5​10 ΩB+−V2​36 VI1​I2​I3​

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

V1 = 10 VV2 = 36 VR1 = 10 ΩR2 = 3 ΩR3 = 6 ΩR4 = 4 ΩR5 = 10 Ω
IR4 = A

Answer key

  1. 1. IR1 = 1.781 A
  2. 2. I1 = 0.9836 A
  3. 3. IR3 = 0.7879 A
  4. 4. I2 = 0.0875 A
  5. 5. IR5 = 0.9628 A
  6. 6. IR4 = 2.175 A

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