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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
Write P in terms of R and V
Answer
To express the power generated (P) in a resistor in terms of resistance (R) and potential difference (V), we can use the formula for electrical power:
Where (I) is the current flowing through the resistor. From Ohm's law, we know that:
From this, we can express the current (I) in terms of V and R:
Substituting this expression for (I) back into the power equation gives:
Simplifying this leads to the final expression:
Hence, the power generated in the resistor can be expressed as: