Series & parallel resistors worksheet with answers

Free printable Series & parallel resistors 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 Ω+−V1​6 VR2​6 ΩAR3​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 6 ΩR2 = 6 ΩR3 = 8 Ω
Req = Ω
2.Easy
R1​ = 2 ΩIR1​+−V1​15 VR2​2 ΩAR3​8 Ω

Find the current IR1 delivered by the source, which flows through R1.

V1 = 15 VR1 = 2 ΩR2 = 2 ΩR3 = 8 Ω
IR1 = A
3.Medium
R1​ = 6 ΩR3​ = 6 Ω+−V1​15 VR2​4 ΩIR2​AR4​4 ΩB

Find the current IR2 through R2.

V1 = 15 VR1 = 6 ΩR2 = 4 ΩR3 = 6 ΩR4 = 4 Ω
IR2 = A
4.Medium
R1​ = 20 ΩR3​ = 8 Ω+−V1​6 VR2​20 ΩAR4​10 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 20 ΩR2 = 20 ΩR3 = 8 ΩR4 = 10 Ω
Req = Ω
5.Hard
R1​ = 30 ΩR3​ = 10 ΩR5​ = 12 Ω+−V1​15 VR2​2 ΩAR4​30 ΩBR6​5 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 30 ΩR2 = 2 ΩR3 = 10 ΩR4 = 30 ΩR5 = 12 ΩR6 = 5 Ω
Req = Ω
6.Hard
R1​ = 12 ΩIR1​R3​ = 4 ΩR5​ = 12 Ω+−V1​24 VR2​8 ΩAR4​6 ΩBR6​10 Ω

Find the current IR1 delivered by the source, which flows through R1.

V1 = 24 VR1 = 12 ΩR2 = 8 ΩR3 = 4 ΩR4 = 6 ΩR5 = 12 ΩR6 = 10 Ω
IR1 = A

Answer key

  1. 1. Req = 9.429 Ω
  2. 2. IR1 = 4.167 A
  3. 3. IR2 = 1.21 A
  4. 4. Req = 29.47 Ω
  5. 5. Req = 31.82 Ω
  6. 6. IR1 = 1.484 A

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