What is the resistance of a component if it develops 2500W when 240V is applied to it?
Question
What is the resistance of a component if it develops 2500W when 240V is applied to it?
Solution
To find the resistance, we can use Ohm's law, which states that Voltage (V) = Current (I) * Resistance (R).
However, we don't have the current, but we do have the power (P), and we know that Power (P) = Voltage (V) * Current (I).
We can rearrange this equation to find the current: Current (I) = Power (P) / Voltage (V).
Substituting the given values, we get: Current (I) = 2500W / 240V = 10.42 Amps.
Now, we can substitute this value into Ohm's law to find the resistance: Resistance (R) = Voltage (V) / Current (I) = 240V / 10.42A = approximately 23 Ohms.
So, the resistance of the component is approximately 23 Ohms.
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