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According to Ohm's law, which is stated as [tex] I = \frac{V}{R} [/tex], which two statements are true?

A. If the current increases, then the resistance increases. Assume voltage is constant.
B. If the resistance decreases, then the current increases. Assume voltage is constant.
C. If the voltage increases, then the resistance decreases. Assume current is constant.
D. If the voltage increases, then the current increases. Assume resistance is constant.
E. If the voltage increases, then the current decreases. Assume resistance is constant.

Sagot :

GinnyAnsweridn
Certainly! Let's analyze each statement step-by-step according to Ohm's Law, which is stated as [tex]\( I = \frac{V}{R} \)[/tex]:

1. If the current increases, then the resistance increases. Assume voltage is constant.

According to Ohm's Law:
[tex]\[ I = \frac{V}{R} \][/tex]
If the voltage [tex]\( V \)[/tex] is constant and the current [tex]\( I \)[/tex] increases, then in order to balance the equation, the resistance [tex]\( R \)[/tex] must decrease. Therefore, this statement is False.

2. If the resistance decreases, then the current increases. Assume voltage is constant.

Again, according to Ohm's Law:
[tex]\[ I = \frac{V}{R} \][/tex]
If the voltage [tex]\( V \)[/tex] is constant and the resistance [tex]\( R \)[/tex] decreases, then the current [tex]\( I \)[/tex] must increase. Therefore, this statement is True.

3. If the voltage increases, then the resistance decreases. Assume current is constant.

According to Ohm's Law:
[tex]\[ I = \frac{V}{R} \][/tex]
If the current [tex]\( I \)[/tex] is constant and the voltage [tex]\( V \)[/tex] increases, then the resistance [tex]\( R \)[/tex] must also increase to keep the current [tex]\( I \)[/tex] constant. Therefore, this statement is False.

4. If the voltage increases, then the current increases. Assume resistance is constant.

According to Ohm's Law:
[tex]\[ I = \frac{V}{R} \][/tex]
If the resistance [tex]\( R \)[/tex] is constant and the voltage [tex]\( V \)[/tex] increases, then the current [tex]\( I \)[/tex] must increase. Therefore, this statement is True.

5. If the voltage increases, then the current decreases. Assume resistance is constant.

Using Ohm’s Law:
[tex]\[ I = \frac{V}{R} \][/tex]
If the resistance [tex]\( R \)[/tex] is constant and the voltage [tex]\( V \)[/tex] increases, then the current [tex]\( I \)[/tex] must also increase, not decrease. Therefore, this statement is False.

Thus, the two true statements are:
- Statement 2: If the resistance decreases, then the current increases. Assume voltage is constant.
- Statement 4: If the voltage increases, then the current increases. Assume resistance is constant.

The true statements are:

[tex]\[ \boxed{[2, 4]} \][/tex]
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