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​ = 3 ΩIR1​+−V1​12 VR2​2 ΩAR3​3 Ω

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

V1 = 12 VR1 = 3 ΩR2 = 2 ΩR3 = 3 Ω
IR1 = A
2.Easy
R1​ = 6 Ω+−V1​20 VR2​12 ΩAR3​10 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 20 VR1 = 6 ΩR2 = 12 ΩR3 = 10 Ω
Req = Ω
3.Medium
R1​ = 15 ΩR3​ = 3 Ω+−V1​24 VR2​20 ΩIR2​AR4​3 ΩB

Find the current IR2 through R2.

V1 = 24 VR1 = 15 ΩR2 = 20 ΩR3 = 3 ΩR4 = 3 Ω
IR2 = A
4.Medium
R1​ = 12 ΩR3​ = 5 Ω+−V1​6 VR2​2 ΩAR4​10 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 12 ΩR2 = 2 ΩR3 = 5 ΩR4 = 10 Ω
Req = Ω
5.Hard
R1​ = 20 ΩIR1​R3​ = 5 ΩR5​ = 12 Ω+−V1​18 VR2​5 ΩAR4​12 ΩBR6​8 Ω

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

V1 = 18 VR1 = 20 ΩR2 = 5 ΩR3 = 5 ΩR4 = 12 ΩR5 = 12 ΩR6 = 8 Ω
IR1 = A
6.Hard
R1​ = 15 ΩIR1​R3​ = 20 ΩR5​ = 25 Ω+−V1​24 VR2​15 ΩAR4​15 ΩBR6​6 Ω

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

V1 = 24 VR1 = 15 ΩR2 = 15 ΩR3 = 20 ΩR4 = 15 ΩR5 = 25 ΩR6 = 6 Ω
IR1 = A

Answer key

  1. 1. IR1 = 2.857 A
  2. 2. Req = 11.45 Ω
  3. 3. IR2 = 0.2824 A
  4. 4. Req = 13.76 Ω
  5. 5. IR1 = 0.7636 A
  6. 6. IR1 = 0.9595 A

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