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​ = 2 ΩR2​ = 4 Ω+−VR2​+−V1​18 VR3​4 ΩAR4​12 ΩBI1​I2​

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

V1 = 18 VR1 = 2 ΩR2 = 4 ΩR3 = 4 ΩR4 = 12 Ω
VR2 = V
2.Easy
R1​ = 12 ΩR2​ = 5 Ω+−V1​12 VR3​8 ΩAR4​10 ΩIR4​BI1​I2​

Use mesh analysis to find the current IR4 through R4 in the direction of the arrow.

V1 = 12 VR1 = 12 ΩR2 = 5 ΩR3 = 8 ΩR4 = 10 Ω
IR4 = A
3.Medium
R1​ = 15 ΩIR1​R2​ = 20 Ω+−V1​18 VR3​5 ΩA+−V2​10 VI1​I2​

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

V1 = 18 VV2 = 10 VR1 = 15 ΩR2 = 20 ΩR3 = 5 Ω
IR1 = A
4.Medium
R1​ = 6 ΩR2​ = 2 ΩIR2​+−V1​18 VR3​20 ΩA+−V2​15 VI1​I2​

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

V1 = 18 VV2 = 15 VR1 = 6 ΩR2 = 2 ΩR3 = 20 Ω
IR2 = A
5.Hard
R1​ = 3 ΩR2​ = 20 ΩR3​ = 10 Ω+−V1​12 VR4​2 ΩAR5​10 ΩIR5​B+−V2​24 VI1​I2​I3​

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

V1 = 12 VV2 = 24 VR1 = 3 ΩR2 = 20 ΩR3 = 10 ΩR4 = 2 ΩR5 = 10 Ω
IR5 = A
6.Hard
R1​ = 12 ΩR2​ = 25 ΩR3​ = 3 Ω+−V1​12 VR4​4 ΩAR5​25 ΩB+−V2​36 VI1​I2​I3​

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

V1 = 12 VV2 = 36 VR1 = 12 ΩR2 = 25 ΩR3 = 3 ΩR4 = 4 ΩR5 = 25 Ω
I3 = A

Answer key

  1. 1. VR2 = 2.769 V
  2. 2. IR4 = 0.2424 A
  3. 3. IR1 = 0.8421 A
  4. 4. IR2 = −0.1744 A
  5. 5. IR5 = 1.063 A
  6. 6. I3 = −2.134 A

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