Which of the following is NOT a correct expression for electric power (P)?
Which of the following is NOT a correct expression for electric power (P)?
निम्नलिखित में से कौन-सा विद्युत शक्ति (P) के लिए सही यंजक (formula) नहीं है?
Detailed Solution & Logic
\(P = I \times R^2\)
Explanation:
Electric power can be written using these correct formulas:
-
$P = V \times I$
-
$P = I^2 R$
-
$P = \dfrac{V^2}{R}$
These are derived using Ohm’s Law ($V = IR$).
Now check the given incorrect expression:
-
$P = I \times R^2$
Using units:
-
$I$ has unit ampere (A)
-
$R$ has unit ohm (Ω)
So $I \times R^2$ gives units $A \cdot \Omega^2$, which is not equal to watt (W). Hence, it is incorrect.
Note:
The expression $P = \dfrac{R}{V^2}$ is also incorrect. The correct form is $P = \dfrac{V^2}{R}$.
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