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​ = 10 Ω+−V1​10 VR2​4 ΩAR3​10 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 10 ΩR2 = 4 ΩR3 = 10 Ω
Req = Ω
2.Easy
R1​ = 2 Ω+−V1​12 VR2​2 ΩIR2​AR3​5 Ω

Find the current IR2 through R2.

V1 = 12 VR1 = 2 ΩR2 = 2 ΩR3 = 5 Ω
IR2 = A
3.Medium
R1​ = 4 ΩIR1​R3​ = 8 Ω+−V1​12 VR2​12 ΩAR4​10 ΩB

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

V1 = 12 VR1 = 4 ΩR2 = 12 ΩR3 = 8 ΩR4 = 10 Ω
IR1 = A
4.Medium
R1​ = 20 ΩR3​ = 2 Ω+−V1​18 VR2​20 ΩAR4​12 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 20 ΩR2 = 20 ΩR3 = 2 ΩR4 = 12 Ω
Req = Ω
5.Hard
R1​ = 20 ΩIR1​R3​ = 25 ΩR5​ = 4 Ω+−V1​24 VR2​30 ΩAR4​10 ΩBR6​30 Ω

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

V1 = 24 VR1 = 20 ΩR2 = 30 ΩR3 = 25 ΩR4 = 10 ΩR5 = 4 ΩR6 = 30 Ω
IR1 = A
6.Hard
R1​ = 20 ΩR3​ = 4 ΩR5​ = 4 Ω+−V1​12 VR2​20 ΩAR4​10 ΩBR6​4 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 12 VR1 = 20 ΩR2 = 20 ΩR3 = 4 ΩR4 = 10 ΩR5 = 4 ΩR6 = 4 Ω
Req = Ω

Answer key

  1. 1. Req = 12.86 Ω
  2. 2. IR2 = 2.5 A
  3. 3. IR1 = 1.071 A
  4. 4. Req = 28.24 Ω
  5. 5. IR1 = 0.6732 A
  6. 6. Req = 25.94 Ω

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