How much current will be drawn by an incandescent bulb connected to a 115-volt circuit if its resistance is 264.5 ohms?

To find the current drawn by an incandescent bulb connected to a circuit, you can use Ohm's Law, which states that current (I) is equal to voltage (V) divided by resistance (R). This can be expressed mathematically as:

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

In this scenario, the voltage (V) is 115 volts, and the resistance (R) is 264.5 ohms. Plugging these values into the formula gives:

[ I = \frac{115 \text{ volts}}{264.5 \text{ ohms}} ]

When you perform the calculation:

[ I = 0.434 \text{ amps} ]

Rounding this to two decimal places, the current drawn is approximately 0.43 amps. This aligns with the provided answer, making it the most accurate choice.

The calculation is key here; using the proper formula and substituting in the correct values confirms that the incandescent bulb in this circuit will draw about 0.43 amps, hence validating the correctness of the answer.