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​ = 5 Ω+−V1​6 VR2​5 ΩAR3​12 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 5 ΩR2 = 5 ΩR3 = 12 Ω
Req = Ω
2.Easy
R1​ = 6 Ω+−V1​8 VR2​6 ΩIR2​AR3​4 Ω

Find the current IR2 through R2.

V1 = 8 VR1 = 6 ΩR2 = 6 ΩR3 = 4 Ω
IR2 = A
3.Medium
R1​ = 6 ΩIR1​R3​ = 8 Ω+−V1​12 VR2​6 ΩAR4​20 ΩB

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

V1 = 12 VR1 = 6 ΩR2 = 6 ΩR3 = 8 ΩR4 = 20 Ω
IR1 = A
4.Medium
R1​ = 8 ΩIR1​R3​ = 12 Ω+−V1​12 VR2​6 ΩAR4​4 ΩB

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

V1 = 12 VR1 = 8 ΩR2 = 6 ΩR3 = 12 ΩR4 = 4 Ω
IR1 = A
5.Hard
R1​ = 3 ΩR3​ = 5 ΩR5​ = 4 Ω+−V1​18 VR2​4 ΩIR2​AR4​30 ΩBR6​10 Ω

Find the current IR2 through R2.

V1 = 18 VR1 = 3 ΩR2 = 4 ΩR3 = 5 ΩR4 = 30 ΩR5 = 4 ΩR6 = 10 Ω
IR2 = A
6.Hard
R1​ = 5 ΩR3​ = 15 ΩR5​ = 25 Ω+−V1​9 VR2​5 ΩIR2​AR4​5 ΩBR6​4 Ω

Find the current IR2 through R2.

V1 = 9 VR1 = 5 ΩR2 = 5 ΩR3 = 15 ΩR4 = 5 ΩR5 = 25 ΩR6 = 4 Ω
IR2 = A

Answer key

  1. 1. Req = 8.529 Ω
  2. 2. IR2 = 0.381 A
  3. 3. IR1 = 1.097 A
  4. 4. IR1 = 0.9706 A
  5. 5. IR2 = 2.3 A
  6. 6. IR2 = 0.7966 A

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