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Power P is generated in a resistor of resistance R when a potential difference V is applied across it - Leaving Cert Physics - Question g - 2019

Question g

Power P is generated in a resistor of resistance R when a potential difference V is applied across it. Write P in terms of R and V.

Worked Solution & Example Answer:Power P is generated in a resistor of resistance R when a potential difference V is applied across it - Leaving Cert Physics - Question g - 2019

Step 1

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Answer

To find the power P generated in a resistor, we can use the formula for electrical power, which is defined as:

$P = IV$

where I is the current flowing through the resistor.

Step 2

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Answer

According to Ohm's Law, the current I can be expressed in terms of the potential difference V and resistance R:

$I = \frac{V}{R}$

Step 3

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Answer

We can substitute the expression for I back into the power formula:

$P = \left(\frac{V}{R}\right)V = \frac{V^2}{R}$

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