What is the resistance of a 1,000-watt lamp operating at 120 volts with a current draw of 8.333 amps, rounded to two decimal places?

What is the resistance of a 1,000-watt lamp operating at 120 volts with a current draw of 8.333 amps, rounded to two decimal places?

• A. 12.0 Ohms
• B. 14.4 Ohms
• C. 15.0 Ohms
• D. 13.5 Ohms

Answer: (B)

To find the resistance of a lamp, we can use Ohm's Law, which states that voltage (V) equals current (I) times resistance (R). The formula can be rearranged to find resistance: \[ R = \frac{V}{I} \] In this scenario, the lamp operates at a voltage of 120 volts and draws a current of approximately 8.333 amps. Plugging these values into the formula gives us: \[ R = \frac{120 \text{ volts}}{8.333 \text{ amps}} \] Calculating this: \[ R \approx 14.4 \text{ Ohms} \] Thus, the resistance of the lamp is approximately 14.4 Ohms when rounded to two decimal places. This result is in line with the characteristics of a lamp that consumes 1,000 watts of power at 120 volts. Understanding these calculations is crucial because it helps in determining how electrical loads operate within a circuit. It also provides insight into the practical implications of resistance in electrical devices, which is important for ensuring safety and efficiency in electrical systems.

To find the resistance of a lamp, we can use Ohm's Law, which states that voltage (V) equals current (I) times resistance (R). The formula can be rearranged to find resistance:

[ R = \frac{V}{I} ]

In this scenario, the lamp operates at a voltage of 120 volts and draws a current of approximately 8.333 amps. Plugging these values into the formula gives us:

[ R = \frac{120 \text{ volts}}{8.333 \text{ amps}} ]

Calculating this:

[ R \approx 14.4 \text{ Ohms} ]

Thus, the resistance of the lamp is approximately 14.4 Ohms when rounded to two decimal places. This result is in line with the characteristics of a lamp that consumes 1,000 watts of power at 120 volts.

Understanding these calculations is crucial because it helps in determining how electrical loads operate within a circuit. It also provides insight into the practical implications of resistance in electrical devices, which is important for ensuring safety and efficiency in electrical systems.