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​ = 6 ΩR2​ = 10 Ω+−V1​15 VR3​4 ΩAR4​3 Ω+−VR4​BI1​I2​

Use mesh analysis to find the voltage VR4 across R4 with the polarity shown.

V1 = 15 VR1 = 6 ΩR2 = 10 ΩR3 = 4 ΩR4 = 3 Ω
VR4 = V
2.Easy
R1​ = 2 ΩR2​ = 2 Ω+−V1​10 VR3​6 Ω+−VR3​AR4​2 ΩBI1​I2​

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

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

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

V1 = 10 VV2 = 9 VR1 = 6 ΩR2 = 8 ΩR3 = 6 Ω
I2 = A
4.Medium
R1​ = 15 ΩIR1​R2​ = 10 Ω+−V1​12 VR3​6 ΩA+−V2​9 VI1​I2​

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

V1 = 12 VV2 = 9 VR1 = 15 ΩR2 = 10 ΩR3 = 6 Ω
IR1 = A
5.Hard
R1​ = 4 ΩR2​ = 6 ΩR3​ = 25 Ω+−V1​36 VR4​3 ΩAR5​6 ΩB+−V2​30 VI1​I2​I3​

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

V1 = 36 VV2 = 30 VR1 = 4 ΩR2 = 6 ΩR3 = 25 ΩR4 = 3 ΩR5 = 6 Ω
I1 = A
6.Hard
R1​ = 30 ΩR2​ = 8 ΩR3​ = 6 ΩIR3​+−V1​9 VR4​4 ΩAR5​3 ΩB+−V2​12 VI1​I2​I3​

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

V1 = 9 VV2 = 12 VR1 = 30 ΩR2 = 8 ΩR3 = 6 ΩR4 = 4 ΩR5 = 3 Ω
IR3 = A

Answer key

  1. 1. VR4 = 1.169 V
  2. 2. VR3 = 5.455 V
  3. 3. I2 = −0.3636 A
  4. 4. IR1 = 0.46 A
  5. 5. I1 = 5.471 A
  6. 6. IR3 = −1.406 A

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