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 Ω+−V1​18 VR3​6 ΩIR3​AR4​3 ΩBI1​I2​

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

V1 = 18 VR1 = 10 ΩR2 = 12 ΩR3 = 6 ΩR4 = 3 Ω
IR3 = A
2.Easy
R1​ = 8 ΩR2​ = 6 Ω+−V1​10 VR3​4 ΩAR4​6 ΩBI1​I2​

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

V1 = 10 VR1 = 8 ΩR2 = 6 ΩR3 = 4 ΩR4 = 6 Ω
I2 = A
3.Medium
R1​ = 2 ΩIR1​R2​ = 4 Ω+−V1​6 VR3​5 ΩA+−V2​18 VI1​I2​

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

V1 = 6 VV2 = 18 VR1 = 2 ΩR2 = 4 ΩR3 = 5 Ω
IR1 = A
4.Medium
R1​ = 12 ΩR2​ = 3 Ω+−V1​15 VR3​6 Ω+−VR3​A+−V2​6 VI1​I2​

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

V1 = 15 VV2 = 6 VR1 = 12 ΩR2 = 3 ΩR3 = 6 Ω
VR3 = V
5.Hard
R1​ = 6 Ω+−VR1​R2​ = 20 ΩR3​ = 3 Ω+−V1​9 VR4​10 ΩAR5​2 ΩB+−V2​30 VI1​I2​I3​

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

V1 = 9 VV2 = 30 VR1 = 6 ΩR2 = 20 ΩR3 = 3 ΩR4 = 10 ΩR5 = 2 Ω
VR1 = V
6.Hard
R1​ = 4 ΩR2​ = 8 ΩIR2​R3​ = 8 Ω+−V1​5 VR4​15 ΩAR5​8 ΩB+−V2​30 VI1​I2​I3​

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

V1 = 5 VV2 = 30 VR1 = 4 ΩR2 = 8 ΩR3 = 8 ΩR4 = 15 ΩR5 = 8 Ω
IR2 = A

Answer key

  1. 1. IR3 = 0.9 A
  2. 2. I2 = 0.2273 A
  3. 3. IR1 = −0.9474 A
  4. 4. VR3 = 5.571 V
  5. 5. VR1 = 2.417 V
  6. 6. IR2 = −0.7292 A

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