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​10 VR3​4 ΩAR4​5 ΩIR4​BI1​I2​

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

V1 = 10 VR1 = 6 ΩR2 = 10 ΩR3 = 4 ΩR4 = 5 Ω
IR4 = A
2.Easy
R1​ = 3 ΩR2​ = 5 Ω+−V1​8 VR3​6 ΩIR3​AR4​12 ΩBI1​I2​

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

V1 = 8 VR1 = 3 ΩR2 = 5 ΩR3 = 6 ΩR4 = 12 Ω
IR3 = A
3.Medium
R1​ = 12 ΩR2​ = 10 Ω+−V1​30 VR3​20 ΩA+−V2​9 VI1​I2​

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

V1 = 30 VV2 = 9 VR1 = 12 ΩR2 = 10 ΩR3 = 20 Ω
I1 = A
4.Medium
R1​ = 6 ΩR2​ = 15 Ω+−V1​18 VR3​12 ΩA+−V2​18 VI1​I2​

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

V1 = 18 VV2 = 18 VR1 = 6 ΩR2 = 15 ΩR3 = 12 Ω
I2 = A
5.Hard
R1​ = 30 ΩIR1​R2​ = 3 ΩR3​ = 5 Ω+−V1​10 VR4​3 ΩAR5​20 ΩB+−V2​6 VI1​I2​I3​

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

V1 = 10 VV2 = 6 VR1 = 30 ΩR2 = 3 ΩR3 = 5 ΩR4 = 3 ΩR5 = 20 Ω
IR1 = A
6.Hard
R1​ = 20 ΩR2​ = 10 ΩIR2​R3​ = 2 Ω+−V1​30 VR4​8 ΩAR5​5 ΩB+−V2​5 VI1​I2​I3​

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

V1 = 30 VV2 = 5 VR1 = 20 ΩR2 = 10 ΩR3 = 2 ΩR4 = 8 ΩR5 = 5 Ω
IR2 = A

Answer key

  1. 1. IR4 = 0.2299 A
  2. 2. IR3 = 0.7953 A
  3. 3. I1 = 1.286 A
  4. 4. I2 = −0.3158 A
  5. 5. IR1 = 0.2667 A
  6. 6. IR2 = 0.2917 A

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