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​ = 4 ΩIR1​R2​ = 10 Ω+−V1​15 VR3​12 ΩAR4​6 ΩBI1​I2​

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

V1 = 15 VR1 = 4 ΩR2 = 10 ΩR3 = 12 ΩR4 = 6 Ω
IR1 = A
2.Easy
R1​ = 3 ΩR2​ = 5 Ω+−V1​24 VR3​2 ΩIR3​AR4​10 ΩBI1​I2​

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

V1 = 24 VR1 = 3 ΩR2 = 5 ΩR3 = 2 ΩR4 = 10 Ω
IR3 = A
3.Medium
R1​ = 2 ΩR2​ = 6 ΩIR2​+−V1​15 VR3​6 ΩA+−V2​6 VI1​I2​

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

V1 = 15 VV2 = 6 VR1 = 2 ΩR2 = 6 ΩR3 = 6 Ω
IR2 = A
4.Medium
R1​ = 10 ΩR2​ = 8 Ω+−V1​10 VR3​20 ΩA+−V2​12 VI1​I2​

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

V1 = 10 VV2 = 12 VR1 = 10 ΩR2 = 8 ΩR3 = 20 Ω
I2 = A
5.Hard
R1​ = 10 ΩR2​ = 15 ΩR3​ = 25 Ω+−V1​24 VR4​30 ΩAR5​10 Ω+−VR5​B+−V2​30 VI1​I2​I3​

Use mesh analysis to find the voltage VR5 across R5 with the polarity shown.

V1 = 24 VV2 = 30 VR1 = 10 ΩR2 = 15 ΩR3 = 25 ΩR4 = 30 ΩR5 = 10 Ω
VR5 = V
6.Hard
R1​ = 30 ΩR2​ = 3 ΩR3​ = 15 Ω+−V1​10 VR4​30 ΩAR5​25 ΩB+−V2​10 VI1​I2​I3​

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

V1 = 10 VV2 = 10 VR1 = 30 ΩR2 = 3 ΩR3 = 15 ΩR4 = 30 ΩR5 = 25 Ω
I3 = A

Answer key

  1. 1. IR1 = 1.382 A
  2. 2. IR3 = 4.444 A
  3. 3. IR2 = 0.7 A
  4. 4. I2 = −0.3636 A
  5. 5. VR5 = 10.84 V
  6. 6. I3 = −0.2785 A

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