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 ΩR2​ = 10 Ω+−V1​8 VR3​3 ΩIR3​AR4​2 ΩBI1​I2​

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

V1 = 8 VR1 = 4 ΩR2 = 10 ΩR3 = 3 ΩR4 = 2 Ω
IR3 = A
2.Easy
R1​ = 8 ΩR2​ = 8 ΩIR2​+−V1​18 VR3​2 ΩAR4​12 ΩBI1​I2​

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

V1 = 18 VR1 = 8 ΩR2 = 8 ΩR3 = 2 ΩR4 = 12 Ω
IR2 = A
3.Medium
R1​ = 2 ΩIR1​R2​ = 10 Ω+−V1​18 VR3​15 ΩA+−V2​18 VI1​I2​

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

V1 = 18 VV2 = 18 VR1 = 2 ΩR2 = 10 ΩR3 = 15 Ω
IR1 = A
4.Medium
R1​ = 2 ΩR2​ = 12 Ω+−V1​30 VR3​3 ΩA+−V2​15 VI1​I2​

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

V1 = 30 VV2 = 15 VR1 = 2 ΩR2 = 12 ΩR3 = 3 Ω
I2 = A
5.Hard
R1​ = 8 ΩR2​ = 6 ΩR3​ = 5 Ω+−V1​9 VR4​20 ΩAR5​30 ΩIR5​B+−V2​30 VI1​I2​I3​

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

V1 = 9 VV2 = 30 VR1 = 8 ΩR2 = 6 ΩR3 = 5 ΩR4 = 20 ΩR5 = 30 Ω
IR5 = A
6.Hard
R1​ = 8 ΩR2​ = 2 Ω+−VR2​R3​ = 2 Ω+−V1​10 VR4​8 ΩAR5​6 ΩB+−V2​10 VI1​I2​I3​

Use mesh analysis to find the voltage VR2 across R2 with the polarity shown.

V1 = 10 VV2 = 10 VR1 = 8 ΩR2 = 2 ΩR3 = 2 ΩR4 = 8 ΩR5 = 6 Ω
VR2 = V

Answer key

  1. 1. IR3 = 1 A
  2. 2. IR2 = 0.1667 A
  3. 3. IR1 = 0.9 A
  4. 4. I2 = 0.2273 A
  5. 5. IR5 = 0.6849 A
  6. 6. VR2 = −0.6667 V

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