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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?

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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.

This problem has been solved

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