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​ = 10 ΩR2​ = 4 Ω+−V1​10 VR3​3 ΩAR4​2 ΩIR4​BI1​I2​

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

V1 = 10 VR1 = 10 ΩR2 = 4 ΩR3 = 3 ΩR4 = 2 Ω
IR4 = A
2.Easy
R1​ = 3 ΩR2​ = 10 Ω+−V1​24 VR3​2 Ω+−VR3​AR4​8 ΩBI1​I2​

Use mesh analysis to find the voltage VR3 across R3 with the polarity shown.

V1 = 24 VR1 = 3 ΩR2 = 10 ΩR3 = 2 ΩR4 = 8 Ω
VR3 = V
3.Medium
R1​ = 4 ΩR2​ = 12 Ω+−V1​15 VR3​10 ΩA+−V2​30 VI1​I2​

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

V1 = 15 VV2 = 30 VR1 = 4 ΩR2 = 12 ΩR3 = 10 Ω
I2 = A
4.Medium
R1​ = 3 ΩIR1​R2​ = 10 Ω+−V1​12 VR3​8 ΩA+−V2​15 VI1​I2​

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

V1 = 12 VV2 = 15 VR1 = 3 ΩR2 = 10 ΩR3 = 8 Ω
IR1 = A
5.Hard
R1​ = 4 ΩR2​ = 3 ΩIR2​R3​ = 10 Ω+−V1​30 VR4​6 ΩAR5​15 ΩB+−V2​24 VI1​I2​I3​

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

V1 = 30 VV2 = 24 VR1 = 4 ΩR2 = 3 ΩR3 = 10 ΩR4 = 6 ΩR5 = 15 Ω
IR2 = A
6.Hard
R1​ = 25 ΩR2​ = 20 ΩR3​ = 30 Ω+−V1​12 VR4​30 ΩAR5​30 ΩB+−V2​18 VI1​I2​I3​

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

V1 = 12 VV2 = 18 VR1 = 25 ΩR2 = 20 ΩR3 = 30 ΩR4 = 30 ΩR5 = 30 Ω
I1 = A

Answer key

  1. 1. IR4 = 0.2778 A
  2. 2. VR3 = 9 V
  3. 3. I2 = −1.298 A
  4. 4. IR1 = 0.7164 A
  5. 5. IR2 = 0.3158 A
  6. 6. I1 = 0.1907 A

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