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.

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 ΩIR1​+−V1​12 VR2​3 ΩAR3​4 Ω

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

V1 = 12 VR1 = 6 ΩR2 = 3 ΩR3 = 4 Ω
IR1 = A
2.Easy
R1​ = 6 Ω+−V1​10 VR2​5 ΩAR3​2 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 6 ΩR2 = 5 ΩR3 = 2 Ω
Req = Ω
3.Medium
R1​ = 3 ΩR3​ = 12 Ω+−V1​15 VR2​10 ΩIR2​AR4​3 ΩB

Find the current IR2 through R2.

V1 = 15 VR1 = 3 ΩR2 = 10 ΩR3 = 12 ΩR4 = 3 Ω
IR2 = A
4.Medium
R1​ = 2 ΩIR1​R3​ = 5 Ω+−V1​18 VR2​12 ΩAR4​3 ΩB

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

V1 = 18 VR1 = 2 ΩR2 = 12 ΩR3 = 5 ΩR4 = 3 Ω
IR1 = A
5.Hard
R1​ = 15 ΩIR1​R3​ = 6 ΩR5​ = 20 Ω+−V1​12 VR2​2 ΩAR4​15 ΩBR6​3 Ω

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

V1 = 12 VR1 = 15 ΩR2 = 2 ΩR3 = 6 ΩR4 = 15 ΩR5 = 20 ΩR6 = 3 Ω
IR1 = A
6.Hard
R1​ = 3 ΩR3​ = 5 ΩR5​ = 4 Ω+−V1​6 VR2​8 ΩIR2​AR4​4 ΩBR6​12 Ω

Find the current IR2 through R2.

V1 = 6 VR1 = 3 ΩR2 = 8 ΩR3 = 5 ΩR4 = 4 ΩR5 = 4 ΩR6 = 12 Ω
IR2 = A

Answer key

  1. 1. IR1 = 1.556 A
  2. 2. Req = 7.429 Ω
  3. 3. IR2 = 1 A
  4. 4. IR1 = 2.647 A
  5. 5. IR1 = 0.7157 A
  6. 6. IR2 = 0.4308 A

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