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.

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1.Easy
R1​ = 4 Ω+−V1​20 VR2​4 ΩIR2​AR3​3 Ω

Find the current IR2 through R2.

V1 = 20 VR1 = 4 ΩR2 = 4 ΩR3 = 3 Ω
IR2 = A
2.Easy
R1​ = 5 ΩIR1​+−V1​12 VR2​3 ΩAR3​6 Ω

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

V1 = 12 VR1 = 5 ΩR2 = 3 ΩR3 = 6 Ω
IR1 = A
3.Medium
R1​ = 15 ΩR3​ = 6 Ω+−V1​24 VR2​8 ΩAR4​4 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 15 ΩR2 = 8 ΩR3 = 6 ΩR4 = 4 Ω
Req = Ω
4.Medium
R1​ = 4 ΩR3​ = 6 Ω+−V1​30 VR2​12 ΩAR4​3 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 4 ΩR2 = 12 ΩR3 = 6 ΩR4 = 3 Ω
Req = Ω
5.Hard
R1​ = 8 ΩR3​ = 20 ΩR5​ = 15 Ω+−V1​10 VR2​4 ΩAR4​20 ΩBR6​2 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 8 ΩR2 = 4 ΩR3 = 20 ΩR4 = 20 ΩR5 = 15 ΩR6 = 2 Ω
Req = Ω
6.Hard
R1​ = 20 ΩIR1​R3​ = 8 ΩR5​ = 30 Ω+−V1​30 VR2​6 ΩAR4​10 ΩBR6​30 Ω

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

V1 = 30 VR1 = 20 ΩR2 = 6 ΩR3 = 8 ΩR4 = 10 ΩR5 = 30 ΩR6 = 30 Ω
IR1 = A

Answer key

  1. 1. IR2 = 1.5 A
  2. 2. IR1 = 1.714 A
  3. 3. Req = 19.44 Ω
  4. 4. Req = 9.143 Ω
  5. 5. Req = 11.52 Ω
  6. 6. IR1 = 1.229 A

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