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 Ω+−V1​6 VR2​3 ΩAR3​6 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 3 ΩR2 = 3 ΩR3 = 6 Ω
Req = Ω
2.Easy
R1​ = 10 Ω+−V1​10 VR2​6 ΩIR2​AR3​6 Ω

Find the current IR2 through R2.

V1 = 10 VR1 = 10 ΩR2 = 6 ΩR3 = 6 Ω
IR2 = A
3.Medium
R1​ = 8 ΩIR1​R3​ = 10 Ω+−V1​30 VR2​6 ΩAR4​8 ΩB

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

V1 = 30 VR1 = 8 ΩR2 = 6 ΩR3 = 10 ΩR4 = 8 Ω
IR1 = A
4.Medium
R1​ = 5 ΩIR1​R3​ = 20 Ω+−V1​10 VR2​5 ΩAR4​4 ΩB

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

V1 = 10 VR1 = 5 ΩR2 = 5 ΩR3 = 20 ΩR4 = 4 Ω
IR1 = A
5.Hard
R1​ = 3 ΩR3​ = 12 ΩR5​ = 4 Ω+−V1​30 VR2​12 ΩAR4​6 ΩBR6​15 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 3 ΩR2 = 12 ΩR3 = 12 ΩR4 = 6 ΩR5 = 4 ΩR6 = 15 Ω
Req = Ω
6.Hard
R1​ = 25 ΩIR1​R3​ = 5 ΩR5​ = 10 Ω+−V1​36 VR2​15 ΩAR4​6 ΩBR6​15 Ω

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

V1 = 36 VR1 = 25 ΩR2 = 15 ΩR3 = 5 ΩR4 = 6 ΩR5 = 10 ΩR6 = 15 Ω
IR1 = A

Answer key

  1. 1. Req = 5 Ω
  2. 2. IR2 = 0.3846 A
  3. 3. IR1 = 2.4 A
  4. 4. IR1 = 1.094 A
  5. 5. Req = 9.958 Ω
  6. 6. IR1 = 1.163 A

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