Certainly! Let's break down how to determine which formula represents Watt's law.
Watt's law is a fundamental principle in electrical engineering, and it's used to relate power (P), current (I), and voltage (E). The law states:
[tex]\[ P = I \times E \][/tex]
Where:
- [tex]\( P \)[/tex] represents power measured in Watts (W)
- [tex]\( I \)[/tex] represents current measured in Amperes (A)
- [tex]\( E \)[/tex] represents voltage measured in Volts (V)
Now, let's examine the given options:
1. [tex]\( OP = \frac{1}{E} \)[/tex]
2. [tex]\( OE = \frac{1}{R} \)[/tex]
3. [tex]\( OP = I \times E \)[/tex]
4. [tex]\( OE = I \times R \)[/tex]
- Option 1: [tex]\( OP = \frac{1}{E} \)[/tex]
- This formula suggests power is inversely proportional to voltage, which is not correct according to Watt's law.
- Option 2: [tex]\( OE = \frac{1}{R} \)[/tex]
- This formula has no direct relation to Watt's law. It incorrectly suggests a relationship between voltage and resistance, which isn’t directly relevant here.
- Option 3: [tex]\( OP = I \times E \)[/tex]
- This formula matches exactly with Watt's law, which states that power is the product of current and voltage.
- Option 4: [tex]\( OE = I \times R \)[/tex]
- This formula actually represents Ohm's law when simplified to its basic form, i.e., voltage [tex]\( E \)[/tex] equals the product of current [tex]\( I \)[/tex] and resistance [tex]\( R \)[/tex].
Thus, based on the correct principles of Watt's law:
The correct formula is the third one: [tex]\( OP = I \times E \)[/tex]
