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​ = 5 ΩIR1​+−V1​18 VR2​8 ΩAR3​2 Ω

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

V1 = 18 VR1 = 5 ΩR2 = 8 ΩR3 = 2 Ω
IR1 = A
2.Easy
R1​ = 10 Ω+−V1​10 VR2​10 ΩIR2​AR3​10 Ω

Find the current IR2 through R2.

V1 = 10 VR1 = 10 ΩR2 = 10 ΩR3 = 10 Ω
IR2 = A
3.Medium
R1​ = 15 ΩR3​ = 4 Ω+−V1​18 VR2​8 ΩAR4​6 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 15 ΩR2 = 8 ΩR3 = 4 ΩR4 = 6 Ω
Req = Ω
4.Medium
R1​ = 12 ΩR3​ = 10 Ω+−V1​10 VR2​20 ΩAR4​10 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 12 ΩR2 = 20 ΩR3 = 10 ΩR4 = 10 Ω
Req = Ω
5.Hard
R1​ = 4 ΩIR1​R3​ = 2 ΩR5​ = 20 Ω+−V1​5 VR2​3 ΩAR4​20 ΩBR6​20 Ω

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

V1 = 5 VR1 = 4 ΩR2 = 3 ΩR3 = 2 ΩR4 = 20 ΩR5 = 20 ΩR6 = 20 Ω
IR1 = A
6.Hard
R1​ = 10 ΩIR1​R3​ = 12 ΩR5​ = 3 Ω+−V1​24 VR2​30 ΩAR4​30 ΩBR6​10 Ω

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

V1 = 24 VR1 = 10 ΩR2 = 30 ΩR3 = 12 ΩR4 = 30 ΩR5 = 3 ΩR6 = 10 Ω
IR1 = A

Answer key

  1. 1. IR1 = 2.727 A
  2. 2. IR2 = 0.3333 A
  3. 3. Req = 19.44 Ω
  4. 4. Req = 22 Ω
  5. 5. IR1 = 0.7682 A
  6. 6. IR1 = 1.073 A

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