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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
R1​ = 4 ΩR2​ = 2 Ω+−V1​24 VR3​6 ΩIR3​AR4​6 ΩBI1​I2​

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

V1 = 24 VR1 = 4 ΩR2 = 2 ΩR3 = 6 ΩR4 = 6 Ω
IR3 = A
2.Easy
R1​ = 3 ΩR2​ = 10 Ω+−V1​18 VR3​10 ΩAR4​6 ΩBI1​I2​

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

V1 = 18 VR1 = 3 ΩR2 = 10 ΩR3 = 10 ΩR4 = 6 Ω
I2 = A
3.Medium
R1​ = 6 ΩR2​ = 12 Ω+−V1​18 VR3​4 ΩA+−V2​6 VI1​I2​

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

V1 = 18 VV2 = 6 VR1 = 6 ΩR2 = 12 ΩR3 = 4 Ω
I1 = A
4.Medium
R1​ = 20 Ω+−VR1​R2​ = 6 Ω+−V1​9 VR3​12 ΩA+−V2​10 VI1​I2​

Use mesh analysis to find the voltage VR1 across R1 with the polarity shown.

V1 = 9 VV2 = 10 VR1 = 20 ΩR2 = 6 ΩR3 = 12 Ω
VR1 = V
5.Hard
R1​ = 12 ΩR2​ = 6 Ω+−VR2​R3​ = 2 Ω+−V1​12 VR4​20 ΩAR5​30 ΩB+−V2​6 VI1​I2​I3​

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

V1 = 12 VV2 = 6 VR1 = 12 ΩR2 = 6 ΩR3 = 2 ΩR4 = 20 ΩR5 = 30 Ω
VR2 = V
6.Hard
R1​ = 8 ΩR2​ = 12 ΩR3​ = 30 Ω+−V1​15 VR4​10 ΩAR5​10 ΩB+−V2​36 VI1​I2​I3​

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

V1 = 15 VV2 = 36 VR1 = 8 ΩR2 = 12 ΩR3 = 30 ΩR4 = 10 ΩR5 = 10 Ω
I3 = A

Answer key

  1. 1. IR3 = 1.846 A
  2. 2. I2 = 0.7563 A
  3. 3. I1 = 1.833 A
  4. 4. VR1 = 1.944 V
  5. 5. VR2 = 0.7317 V
  6. 6. I3 = −0.907 A

Full step-by-step solutions: practise this topic on examproblems.com.