Question

A lamp that uses 100.0 watts of power requires a voltage of 210.0 volts. What is the resistance of the lamp? A. 21 ohms B. 441 ohms C. 21,000 ohms D. 44,100 ohms

Answer 1

The resistance of the lamp is 441 ohms, which is option B.

Step-by-step explanation:

You can use Ohm's law to calculate the resistance of the lamp. Ohm's law relates voltage (V), current (I), and resistance (R) through the formula:

V = I * R

Where:

V = Voltage (in volts)

I = Current (in amperes)

R = Resistance (in ohms)

In this case, you know the power (P) in watts and the voltage (V):

P = 100.0 watts

V = 210.0 volts

First, you can calculate the current (I) using the formula for power:

P = V * I

Rearrange the formula to solve for I:

I = P / V

I = 100.0 watts / 210.0 volts = 0.4762 amperes (approximately)

Now that you have the current (I), you can use Ohm's law to find the resistance (R):

V = I * R

R = V / I

R = 210.0 volts / 0.4762 amperes ≈ 441.02 ohms

So, the resistance of the lamp is approximately 441 ohms, which is option B.