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​ = 12 Ω+−V1​18 VR2​10 ΩAR3​10 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 12 ΩR2 = 10 ΩR3 = 10 Ω
Req = Ω
2.Easy
R1​ = 2 Ω+−V1​20 VR2​10 ΩIR2​AR3​4 Ω

Find the current IR2 through R2.

V1 = 20 VR1 = 2 ΩR2 = 10 ΩR3 = 4 Ω
IR2 = A
3.Medium
R1​ = 10 ΩIR1​R3​ = 15 Ω+−V1​6 VR2​15 ΩAR4​2 ΩB

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

V1 = 6 VR1 = 10 ΩR2 = 15 ΩR3 = 15 ΩR4 = 2 Ω
IR1 = A
4.Medium
R1​ = 3 ΩIR1​R3​ = 12 Ω+−V1​6 VR2​3 ΩAR4​3 ΩB

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

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

Find the equivalent resistance Req seen by the source V1.

V1 = 5 VR1 = 12 ΩR2 = 15 ΩR3 = 12 ΩR4 = 20 ΩR5 = 6 ΩR6 = 6 Ω
Req = Ω
6.Hard
R1​ = 15 ΩR3​ = 2 ΩR5​ = 5 Ω+−V1​18 VR2​4 ΩIR2​AR4​12 ΩBR6​20 Ω

Find the current IR2 through R2.

V1 = 18 VR1 = 15 ΩR2 = 4 ΩR3 = 2 ΩR4 = 12 ΩR5 = 5 ΩR6 = 20 Ω
IR2 = A

Answer key

  1. 1. Req = 17 Ω
  2. 2. IR2 = 1.176 A
  3. 3. IR1 = 0.3339 A
  4. 4. IR1 = 1.091 A
  5. 5. Req = 20.48 Ω
  6. 6. IR2 = 0.7219 A

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