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 Ω+−V1​20 VR2​8 ΩAR3​2 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 20 VR1 = 5 ΩR2 = 8 ΩR3 = 2 Ω
Req = Ω
2.Easy
R1​ = 5 Ω+−V1​6 VR2​5 ΩIR2​AR3​5 Ω

Find the current IR2 through R2.

V1 = 6 VR1 = 5 ΩR2 = 5 ΩR3 = 5 Ω
IR2 = A
3.Medium
R1​ = 2 ΩIR1​R3​ = 15 Ω+−V1​6 VR2​4 ΩAR4​2 ΩB

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

V1 = 6 VR1 = 2 ΩR2 = 4 ΩR3 = 15 ΩR4 = 2 Ω
IR1 = A
4.Medium
R1​ = 3 ΩR3​ = 10 Ω+−V1​12 VR2​20 ΩAR4​8 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 12 VR1 = 3 ΩR2 = 20 ΩR3 = 10 ΩR4 = 8 Ω
Req = Ω
5.Hard
R1​ = 2 ΩIR1​R3​ = 30 ΩR5​ = 30 Ω+−V1​18 VR2​12 ΩAR4​6 ΩBR6​12 Ω

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

V1 = 18 VR1 = 2 ΩR2 = 12 ΩR3 = 30 ΩR4 = 6 ΩR5 = 30 ΩR6 = 12 Ω
IR1 = A
6.Hard
R1​ = 8 ΩR3​ = 3 ΩR5​ = 3 Ω+−V1​30 VR2​3 ΩIR2​AR4​3 ΩBR6​20 Ω

Find the current IR2 through R2.

V1 = 30 VR1 = 8 ΩR2 = 3 ΩR3 = 3 ΩR4 = 3 ΩR5 = 3 ΩR6 = 20 Ω
IR2 = A

Answer key

  1. 1. Req = 6.6 Ω
  2. 2. IR2 = 0.4 A
  3. 3. IR1 = 1.145 A
  4. 4. Req = 12.47 Ω
  5. 5. IR1 = 1.643 A
  6. 6. IR2 = 1.968 A

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