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​ = 8 Ω+−V1​18 VR2​3 ΩIR2​AR3​5 Ω

Find the current IR2 through R2.

V1 = 18 VR1 = 8 ΩR2 = 3 ΩR3 = 5 Ω
IR2 = A
2.Easy
R1​ = 6 Ω+−V1​8 VR2​3 ΩAR3​3 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 8 VR1 = 6 ΩR2 = 3 ΩR3 = 3 Ω
Req = Ω
3.Medium
R1​ = 15 ΩIR1​R3​ = 8 Ω+−V1​30 VR2​10 ΩAR4​3 ΩB

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

V1 = 30 VR1 = 15 ΩR2 = 10 ΩR3 = 8 ΩR4 = 3 Ω
IR1 = A
4.Medium
R1​ = 15 ΩR3​ = 3 Ω+−V1​9 VR2​8 ΩIR2​AR4​3 ΩB

Find the current IR2 through R2.

V1 = 9 VR1 = 15 ΩR2 = 8 ΩR3 = 3 ΩR4 = 3 Ω
IR2 = A
5.Hard
R1​ = 3 ΩR3​ = 20 ΩR5​ = 8 Ω+−V1​9 VR2​15 ΩAR4​3 ΩBR6​3 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 9 VR1 = 3 ΩR2 = 15 ΩR3 = 20 ΩR4 = 3 ΩR5 = 8 ΩR6 = 3 Ω
Req = Ω
6.Hard
R1​ = 25 ΩR3​ = 4 ΩR5​ = 2 Ω+−V1​5 VR2​25 ΩIR2​AR4​12 ΩBR6​15 Ω

Find the current IR2 through R2.

V1 = 5 VR1 = 25 ΩR2 = 25 ΩR3 = 4 ΩR4 = 12 ΩR5 = 2 ΩR6 = 15 Ω
IR2 = A

Answer key

  1. 1. IR2 = 1.139 A
  2. 2. Req = 7.5 Ω
  3. 3. IR1 = 1.482 A
  4. 4. IR2 = 0.2093 A
  5. 5. Req = 11.98 Ω
  6. 6. IR2 = 0.04689 A

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