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​ = 3 ΩIR1​+−V1​20 VR2​8 ΩAR3​3 Ω

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

V1 = 20 VR1 = 3 ΩR2 = 8 ΩR3 = 3 Ω
IR1 = A
2.Easy
R1​ = 4 Ω+−V1​20 VR2​4 ΩIR2​AR3​6 Ω

Find the current IR2 through R2.

V1 = 20 VR1 = 4 ΩR2 = 4 ΩR3 = 6 Ω
IR2 = A
3.Medium
R1​ = 3 ΩR3​ = 6 Ω+−V1​30 VR2​20 ΩAR4​20 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 3 ΩR2 = 20 ΩR3 = 6 ΩR4 = 20 Ω
Req = Ω
4.Medium
R1​ = 6 ΩR3​ = 15 Ω+−V1​15 VR2​8 ΩAR4​2 ΩB

Find the equivalent resistance Req seen by the source V1.

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

Find the current IR2 through R2.

V1 = 15 VR1 = 15 ΩR2 = 2 ΩR3 = 5 ΩR4 = 3 ΩR5 = 25 ΩR6 = 4 Ω
IR2 = A
6.Hard
R1​ = 3 ΩR3​ = 30 ΩR5​ = 10 Ω+−V1​36 VR2​30 ΩAR4​2 ΩBR6​3 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 36 VR1 = 3 ΩR2 = 30 ΩR3 = 30 ΩR4 = 2 ΩR5 = 10 ΩR6 = 3 Ω
Req = Ω

Answer key

  1. 1. IR1 = 3.86 A
  2. 2. IR2 = 1.875 A
  3. 3. Req = 14.3 Ω
  4. 4. Req = 11.44 Ω
  5. 5. IR2 = 0.7182 A
  6. 6. Req = 18.42 Ω

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