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​8 VR2​4 ΩIR2​AR3​12 Ω

Find the current IR2 through R2.

V1 = 8 VR1 = 6 ΩR2 = 4 ΩR3 = 12 Ω
IR2 = A
2.Easy
R1​ = 12 ΩIR1​+−V1​24 VR2​8 ΩAR3​2 Ω

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

V1 = 24 VR1 = 12 ΩR2 = 8 ΩR3 = 2 Ω
IR1 = A
3.Medium
R1​ = 5 ΩR3​ = 5 Ω+−V1​30 VR2​12 ΩAR4​15 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 5 ΩR2 = 12 ΩR3 = 5 ΩR4 = 15 Ω
Req = Ω
4.Medium
R1​ = 6 ΩR3​ = 2 Ω+−V1​12 VR2​10 ΩIR2​AR4​6 ΩB

Find the current IR2 through R2.

V1 = 12 VR1 = 6 ΩR2 = 10 ΩR3 = 2 ΩR4 = 6 Ω
IR2 = A
5.Hard
R1​ = 4 ΩR3​ = 6 ΩR5​ = 4 Ω+−V1​24 VR2​30 ΩIR2​AR4​3 ΩBR6​2 Ω

Find the current IR2 through R2.

V1 = 24 VR1 = 4 ΩR2 = 30 ΩR3 = 6 ΩR4 = 3 ΩR5 = 4 ΩR6 = 2 Ω
IR2 = A
6.Hard
R1​ = 3 ΩR3​ = 6 ΩR5​ = 5 Ω+−V1​30 VR2​25 ΩAR4​12 ΩBR6​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 3 ΩR2 = 25 ΩR3 = 6 ΩR4 = 12 ΩR5 = 5 ΩR6 = 8 Ω
Req = Ω

Answer key

  1. 1. IR2 = 0.6667 A
  2. 2. IR1 = 1.765 A
  3. 3. Req = 12.5 Ω
  4. 4. IR2 = 0.5106 A
  5. 5. IR2 = 0.4898 A
  6. 6. Req = 11.22 Ω

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