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Sagot :
To determine which equation is correct according to Ohm's Law, let's start by recalling the basic principle of Ohm's Law. Ohm's Law in electrical circuits relates the voltage (V), current (I), and resistance (R) with the following equation:
[tex]\[ V = I \times R \][/tex]
This equation states that the voltage across a resistor is equal to the product of the current through the resistor and its resistance.
Now, let's examine each of the given equations to see which one matches this relationship:
1. [tex]\( R = V \times I \)[/tex]
- This equation suggests that resistance is the product of voltage and current. According to Ohm's Law, this is incorrect because resistance should be the ratio of voltage to current, not their product.
2. [tex]\( V = \frac{1}{R} \)[/tex]
- This equation suggests that voltage is the reciprocal of resistance. According to Ohm's Law, this is incorrect because voltage is directly proportional to both the current and resistance, not the reciprocal of resistance.
3. [tex]\( R = \frac{1}{V} \)[/tex]
- This equation suggests that resistance is the reciprocal of voltage. According to Ohm's Law, this is incorrect because resistance is defined as the ratio of voltage to current, not the reciprocal of voltage.
4. [tex]\( V = I \times R \)[/tex]
- This equation correctly represents Ohm's Law, stating that voltage is the product of current and resistance.
Based on our analysis, the equation that correctly represents Ohm's Law is:
[tex]\[ V = I \times R \][/tex]
Therefore, the correct choice is:
[tex]\[ \boxed{4} \][/tex]
[tex]\[ V = I \times R \][/tex]
This equation states that the voltage across a resistor is equal to the product of the current through the resistor and its resistance.
Now, let's examine each of the given equations to see which one matches this relationship:
1. [tex]\( R = V \times I \)[/tex]
- This equation suggests that resistance is the product of voltage and current. According to Ohm's Law, this is incorrect because resistance should be the ratio of voltage to current, not their product.
2. [tex]\( V = \frac{1}{R} \)[/tex]
- This equation suggests that voltage is the reciprocal of resistance. According to Ohm's Law, this is incorrect because voltage is directly proportional to both the current and resistance, not the reciprocal of resistance.
3. [tex]\( R = \frac{1}{V} \)[/tex]
- This equation suggests that resistance is the reciprocal of voltage. According to Ohm's Law, this is incorrect because resistance is defined as the ratio of voltage to current, not the reciprocal of voltage.
4. [tex]\( V = I \times R \)[/tex]
- This equation correctly represents Ohm's Law, stating that voltage is the product of current and resistance.
Based on our analysis, the equation that correctly represents Ohm's Law is:
[tex]\[ V = I \times R \][/tex]
Therefore, the correct choice is:
[tex]\[ \boxed{4} \][/tex]
D) V= IR this is the basic formula of ohms law.
Other one aren’t correct because 1 cannot be in the formula the other formulas are
I=V/R for finding out current and NOT 1/R
R=V/I for finding out the resistance and not 1/I
Option A) is not at all correct as u cannot get r=vi
Other one aren’t correct because 1 cannot be in the formula the other formulas are
I=V/R for finding out current and NOT 1/R
R=V/I for finding out the resistance and not 1/I
Option A) is not at all correct as u cannot get r=vi
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