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​ = 3 Ω+−V1​20 VR3​4 ΩAR4​6 ΩBI1​I2​

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

V1 = 20 VR1 = 2 ΩR2 = 3 ΩR3 = 4 ΩR4 = 6 Ω
IR1 = A
2.Easy
R1​ = 6 ΩR2​ = 3 Ω+−V1​6 VR3​4 ΩAR4​3 ΩBI1​I2​

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

V1 = 6 VR1 = 6 ΩR2 = 3 ΩR3 = 4 ΩR4 = 3 Ω
I2 = A
3.Medium
R1​ = 6 ΩR2​ = 20 Ω+−V1​10 VR3​10 ΩIR3​A+−V2​9 VI1​I2​

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

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

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

V1 = 10 VV2 = 9 VR1 = 3 ΩR2 = 12 ΩR3 = 4 Ω
I1 = A
5.Hard
R1​ = 2 ΩR2​ = 15 ΩR3​ = 3 Ω+−V1​5 VR4​6 ΩAR5​6 ΩB+−V2​36 VI1​I2​I3​

Use mesh analysis to find the mesh current I3 (clockwise).

V1 = 5 VV2 = 36 VR1 = 2 ΩR2 = 15 ΩR3 = 3 ΩR4 = 6 ΩR5 = 6 Ω
I3 = A
6.Hard
R1​ = 6 ΩR2​ = 8 ΩR3​ = 30 Ω+−V1​30 VR4​2 ΩIR4​AR5​20 ΩB+−V2​15 VI1​I2​I3​

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

V1 = 30 VV2 = 15 VR1 = 6 ΩR2 = 8 ΩR3 = 30 ΩR4 = 2 ΩR5 = 20 Ω
IR4 = A

Answer key

  1. 1. IR1 = 4.194 A
  2. 2. I2 = 0.2857 A
  3. 3. IR3 = 0.6684 A
  4. 4. I1 = 1.292 A
  5. 5. I3 = −4.73 A
  6. 6. IR4 = 3.698 A

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