To determine which circuit will have the greatest electric current, several factors must be considered, including the voltage applied to the circuit and the resistance of the components within the circuit, according to Ohm's Law, which states:
\[ I = \frac{V}{R} \]
Where:
- \( I \) is the current (in amperes),
- \( V \) is the voltage (in volts),
- \( R \) is the resistance (in ohms).
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Voltage: Generally, a higher voltage will result in a higher current, assuming resistance remains constant.
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Resistance: A lower resistance will also result in a higher current for the same voltage.
To find the circuit with the greatest current, you would compare different circuits based on their voltage sources and resistive loads:
- Circuit A: Voltage = 12V, Resistance = 4Ω -> Current \( I = \frac{12V}{4Ω} = 3A \)
- Circuit B: Voltage = 9V, Resistance = 3Ω -> Current \( I = \frac{9V}{3Ω} = 3A \)
- Circuit C: Voltage = 24V, Resistance = 10Ω -> Current \( I = \frac{24V}{10Ω} = 2.4A \)
In this example, Circuits A and B both have currents of 3A, while Circuit C has 2.4A.
Thus, to identify the circuit with the greatest electric current, you will need to calculate \( I \) for each circuit and compare the results. The one with the largest \( I \) will have the greatest electric current.