What is the resistance of a component if it develops 60W when 240V is applied to it?
Question
What is the resistance of a component if it develops 60W 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 also know that Power (P) = Voltage (V) * Current (I), so we can substitute I from Ohm's law into the power equation to get P = V^2 / R.
Given that the power P is 60W and the voltage V is 240V, we can substitute these values into the equation:
60 = 240^2 / R
Solving for R, we get:
R = 240^2 / 60
R = 960 ohms
So, the resistance of the component is 960 ohms.
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