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​ = 3 ΩIR1​R2​ = 6 Ω+−V1​24 VR3​2 ΩAR4​3 ΩBI1​I2​

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

V1 = 24 VR1 = 3 ΩR2 = 6 ΩR3 = 2 ΩR4 = 3 Ω
IR1 = A
2.Easy
R1​ = 8 ΩR2​ = 4 Ω+−V1​20 VR3​2 ΩAR4​6 ΩBI1​I2​

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

V1 = 20 VR1 = 8 ΩR2 = 4 ΩR3 = 2 ΩR4 = 6 Ω
I2 = A
3.Medium
R1​ = 6 ΩR2​ = 20 ΩIR2​+−V1​10 VR3​3 ΩA+−V2​9 VI1​I2​

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

V1 = 10 VV2 = 9 VR1 = 6 ΩR2 = 20 ΩR3 = 3 Ω
IR2 = A
4.Medium
R1​ = 8 ΩR2​ = 20 Ω+−VR2​+−V1​15 VR3​5 ΩA+−V2​30 VI1​I2​

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

V1 = 15 VV2 = 30 VR1 = 8 ΩR2 = 20 ΩR3 = 5 Ω
VR2 = V
5.Hard
R1​ = 10 ΩR2​ = 3 ΩR3​ = 8 Ω+−V1​6 VR4​10 ΩAR5​3 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 6 VV2 = 12 VR1 = 10 ΩR2 = 3 ΩR3 = 8 ΩR4 = 10 ΩR5 = 3 Ω
I3 = A
6.Hard
R1​ = 6 ΩR2​ = 2 ΩR3​ = 20 Ω+−V1​6 VR4​10 ΩAR5​10 ΩB+−V2​5 VI1​I2​I3​

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

V1 = 6 VV2 = 5 VR1 = 6 ΩR2 = 2 ΩR3 = 20 ΩR4 = 10 ΩR5 = 10 Ω
I1 = A

Answer key

  1. 1. IR1 = 5.176 A
  2. 2. I2 = 0.3448 A
  3. 3. IR2 = −0.2576 A
  4. 4. VR2 = −21 V
  5. 5. I3 = −1.098 A
  6. 6. I1 = 0.4799 A

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