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Question
electric current flows through paths called circuits. people often build circuits using wires, resistors, and batteries. a battery is a voltage source. a circuit with which components has the highest current with the given voltages? wires, a 9v battery, no resistors wires, a 9v battery, a light bulb wires, a 1.5v battery, no resistors wires, a 1.5v battery, a light bulb
Step1: Recall Ohm's Law
Ohm's Law is $I = \frac{V}{R}$, where $I$ is current, $V$ is voltage, and $R$ is resistance. Higher voltage and lower resistance result in higher current.
Step2: Analyze each option
- Option 1: 9V battery, no resistors (very low resistance), $I=\frac{9}{R_{low}}$.
- Option 2: 9V battery, light - bulb has resistance, $I=\frac{9}{R_{light - bulb}}$, and $R_{light - bulb}>R_{low}$.
- Option 3: 1.5V battery, no resistors, $I=\frac{1.5}{R_{low}}$.
- Option 4: 1.5V battery, light - bulb has resistance, $I=\frac{1.5}{R_{light - bulb}}$.
Step3: Compare currents
Since $\frac{9}{R_{low}}>\frac{9}{R_{light - bulb}}$, $\frac{9}{R_{low}}>\frac{1.5}{R_{low}}$, and $\frac{9}{R_{low}}>\frac{1.5}{R_{light - bulb}}$, the circuit with wires, a 9V battery, and no resistors has the highest current.
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wires, a 9V battery, no resistors