Answer
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Step 1**Equal voltage distribution:** In a parallel circuit, the voltage across each component is equal to the source voltage.
Mathematically, we can express this as $$V_{component} = V_{source}$$.
This is because the voltage drop across each branch in a parallel circuit is the same, as they are all connected directly across the power source.
Step 2**Total resistance calculation:** In a parallel circuit, the total resistance can be calculated using the formula , where are the individual resistances of each branch in the circuit.
, where
are the individual resistances of each branch in the circuit.
This formula demonstrates that the total resistance in a parallel circuit is always less than the smallest individual resistance, resulting in a higher current flow compared to a series circuit with the same components.
Final Answer
The three rules concerning parallel circuits are: 1. Equal voltage distribution:
2. Total resistance calculation:
3. Current division: I_{branch} = \frac{\frac{V_{source}}{R_{branch}}}{\frac{V_{source}}{R_{1}} + \frac{V_{source}}{R_{2}} + ... + \frac{V_{source}}{R_{n}}}
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