Final Answer:
Volts: 12, 12, 12
Amps: (12/R₁), (12/R₂), (12/R₃)
Ohms: R₁, R₂, R₃
Watts: (144/R₁), (144/R₂), (144/R₃)
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Explanation:
- This circuit shows three resistors (R₁, R₂, R₃) connected side-by-side — that’s called a *parallel* circuit.
- In a parallel circuit,
voltage is the same across every branch. Since the source is 12 volts, each resistor gets
12 volts.
- To find current (amps) through each resistor, use Ohm’s Law:
Current = Voltage ÷ Resistance, so for R₁ it’s 12 ÷ R₁, for R₂ it’s 12 ÷ R₂, and for R₃ it’s 12 ÷ R₃.
- The resistance values are just R₁, R₂, R₃ — those are given (you’d plug in numbers if they were provided).
- Power (watts) is calculated by:
Power = Voltage × Current, or since current = V/R, you can also use
Power = V² ÷ R.
So for each resistor: 12² ÷ R = 144 ÷ R.
- That gives:
- R₁: 12 V, (12/R₁) A, R₁ Ω, (144/R₁) W
- R₂: 12 V, (12/R₂) A, R₂ Ω, (144/R₂) W
- R₃: 12 V, (12/R₃) A, R₃ Ω, (144/R₃) W
Parent Tip: Review the logic above to help your child master the concept of series parallel circuits worksheet.
