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​ = 4 ΩIR2​+−V1​20 VR3​3 ΩAR4​2 ΩBI1​I2​

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

V1 = 20 VR1 = 8 ΩR2 = 4 ΩR3 = 3 ΩR4 = 2 Ω
IR2 = A
2.Easy
R1​ = 6 ΩR2​ = 2 Ω+−V1​15 VR3​10 ΩAR4​3 ΩBI1​I2​

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

V1 = 15 VR1 = 6 ΩR2 = 2 ΩR3 = 10 ΩR4 = 3 Ω
I2 = A
3.Medium
R1​ = 20 ΩR2​ = 3 Ω+−V1​6 VR3​12 ΩIR3​A+−V2​9 VI1​I2​

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

V1 = 6 VV2 = 9 VR1 = 20 ΩR2 = 3 ΩR3 = 12 Ω
IR3 = A
4.Medium
R1​ = 3 ΩR2​ = 3 Ω+−V1​12 VR3​12 ΩA+−V2​10 VI1​I2​

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

V1 = 12 VV2 = 10 VR1 = 3 ΩR2 = 3 ΩR3 = 12 Ω
I1 = A
5.Hard
R1​ = 20 ΩR2​ = 30 ΩR3​ = 10 Ω+−V1​24 VR4​15 ΩAR5​6 ΩIR5​B+−V2​18 VI1​I2​I3​

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

V1 = 24 VV2 = 18 VR1 = 20 ΩR2 = 30 ΩR3 = 10 ΩR4 = 15 ΩR5 = 6 Ω
IR5 = A
6.Hard
R1​ = 15 ΩIR1​R2​ = 4 ΩR3​ = 2 Ω+−V1​36 VR4​6 ΩAR5​20 ΩB+−V2​10 VI1​I2​I3​

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

V1 = 36 VV2 = 10 VR1 = 15 ΩR2 = 4 ΩR3 = 2 ΩR4 = 6 ΩR5 = 20 Ω
IR1 = A

Answer key

  1. 1. IR2 = 0.6667 A
  2. 2. I2 = 1.071 A
  3. 3. IR3 = 0.5893 A
  4. 4. I1 = 0.7407 A
  5. 5. IR5 = 1.177 A
  6. 6. IR1 = 1.748 A

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