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​ = 10 ΩR2​ = 12 ΩIR2​+−V1​10 VR3​8 ΩAR4​10 ΩBI1​I2​

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

V1 = 10 VR1 = 10 ΩR2 = 12 ΩR3 = 8 ΩR4 = 10 Ω
IR2 = A
2.Easy
R1​ = 6 Ω+−VR1​R2​ = 10 Ω+−V1​18 VR3​5 ΩAR4​2 ΩBI1​I2​

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

V1 = 18 VR1 = 6 ΩR2 = 10 ΩR3 = 5 ΩR4 = 2 Ω
VR1 = V
3.Medium
R1​ = 12 ΩR2​ = 12 Ω+−V1​30 VR3​15 ΩIR3​A+−V2​9 VI1​I2​

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

V1 = 30 VV2 = 9 VR1 = 12 ΩR2 = 12 ΩR3 = 15 Ω
IR3 = A
4.Medium
R1​ = 15 ΩR2​ = 2 Ω+−V1​15 VR3​8 ΩA+−V2​24 VI1​I2​

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

V1 = 15 VV2 = 24 VR1 = 15 ΩR2 = 2 ΩR3 = 8 Ω
I1 = A
5.Hard
R1​ = 12 ΩR2​ = 15 ΩR3​ = 8 Ω+−V1​10 VR4​2 ΩAR5​15 ΩB+−V2​9 VI1​I2​I3​

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

V1 = 10 VV2 = 9 VR1 = 12 ΩR2 = 15 ΩR3 = 8 ΩR4 = 2 ΩR5 = 15 Ω
I2 = A
6.Hard
R1​ = 20 ΩR2​ = 2 ΩR3​ = 25 Ω+−V1​6 VR4​15 ΩAR5​30 ΩIR5​B+−V2​36 VI1​I2​I3​

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

V1 = 6 VV2 = 36 VR1 = 20 ΩR2 = 2 ΩR3 = 25 ΩR4 = 15 ΩR5 = 30 Ω
IR5 = A

Answer key

  1. 1. IR2 = 0.1681 A
  2. 2. VR1 = 11.33 V
  3. 3. IR3 = 0.9286 A
  4. 4. I1 = −0.253 A
  5. 5. I2 = −0.2025 A
  6. 6. IR5 = 0.3341 A

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