Calculating the Resistance of a Lamp

What is the resistance of a lamp that uses 100.0 watts of power at 210.0 volts?

Final answer: To calculate the resistance of a 100.0-watt lamp at 210.0 volts, one can use Ohm's law. The resistance of the lamp is found to be approximately 440.9 ohms.

Explanation:

Calculating the Resistance of a Lamp

To find the resistance of a lamp that uses 100.0 watts of power with a voltage of 210.0 volts, we can use Ohm's law. Ohm's law states that the resistance (R) is equal to the voltage (V) divided by the current (I). However, first, we need to find the current using the power (P) equation, which is P = VI. Therefore, the current I equals P / V. Substituting the given values, we have I = 100.0 W / 210.0 V, which gives us I = 0.4762 Amperes (rounded to four decimal places).

Once we have the current, we can calculate the resistance using the formula R = V / I. Substituting the values, we get R = 210.0 V / 0.4762 A, which results in a resistance of approximately 440.9 ohms (rounded to one decimal place).