Final answer:
The resistance of the electric heater's filament is calculated using Ohm's Law, resulting in a resistance of 44 ohms. Therefore, the correct answer is a. 44 ohms.
Step-by-step explanation:
The resistance of the filament in an electric heater can be calculated using Ohm's Law, which states that the resistance (R) is equal to the voltage (V) divided by the current (I). The formula for resistance is R = V/I. Given the electric heater draws a current of 5A when connected to a 220V mains, we can calculate the resistance as follows:
R = V / I
R = 220V / 5A
R = 44 ohms
Therefore, the resistance of the filament in the electric heater is 44 ohms, which corresponds to option (a).
Resistance, in the context of physics and electrical circuits, refers to the opposition that a material offers to the flow of electric current. It's measured in ohms and is denoted by the symbol "Ω."
Key points about resistance:
Definition: Resistance is the property of a substance or component within an electrical circuit that hinders the flow of electric current. Materials with high resistance impede the flow of current more than those with low resistance.
Factors Affecting Resistance:
Material: Different materials have different resistance values. For instance, metals like copper have low resistance and are good conductors, while materials like rubber or glass have high resistance and are insulators.