High School

An electric heater operates at 220 V and 440 W. What is its resistance?

A. 110 ohms
B. 220 ohms
C. 330 ohms
D. 440 ohms

Answer :

Final answer:

The resistance of the 220v 440w electric heater can be calculated using Ohm's and Power's laws in physics. First we find the current using the power formula (P=V*I), then we substitute the current and voltage into Ohm's law (V=I*R) to find the resistance, which equals 110 ohms.

Explanation:

In order to find the resistance of the electric heater, we can use Ohm's Law in physics. Ohm's law states: V = I * R, where V is voltage, I is current, and R is resistance. In this case, the voltage V is 220v and the power P is 440w.

First, we need to find the current. We can use the Power law formula, which is P = V * I. Rearranging for I, we get I = P / V. Plugging the values, we get I = 440w / 220v = 2A (ampere).

Now we can plug I and V into Ohm's law and solve for R (resistance). So, V = I * R becomes 220v = 2A * R. Solving for R gives us, R = 110 ohms. So, the resistance of the electric heater is 110 ohms (Option a).

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