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

GinnyAnswer
To determine the correct sentences, we need to analyze each statement in the context of Ohm's Law, which is \( I = \frac{V}{R} \).

Let's break down each sentence step-by-step:

1. Sentence 1: If the current increases, then the resistance increases. Assume voltage is constant.
- According to Ohm's Law, \( I = \frac{V}{R} \).
- If the current \( I \) increases while voltage \( V \) is constant, then the equation \( I = \frac{V}{R} \) shows that \( R \) must decrease (because \( I \) is inversely proportional to \( R \)).
- Therefore, this statement is False.

2. Sentence 2: If the resistance decreases, then the current increases. Assume voltage is constant.
- According to Ohm's Law, \( I = \frac{V}{R} \).
- If the resistance \( R \) decreases while voltage \( V \) is constant, then \( I \) must increase (because \( I \) is inversely proportional to \( R \)).
- Therefore, this statement is True.

3. Sentence 3: If the voltage increases, then the resistance decreases. Assume current is constant.
- According to Ohm's Law, \( I = \frac{V}{R} \), which can be rearranged to \( R = \frac{V}{I} \) when solving for \( R \).
- If the voltage \( V \) increases while current \( I \) is constant, then \( R \) must increase (because \( R \) is directly proportional to \( V \)).
- Therefore, this statement is False.

4. Sentence 4: If the voltage increases, then the current increases. Assume resistance is constant.
- According to Ohm's Law, \( I = \frac{V}{R} \).
- If the voltage \( V \) increases while resistance \( R \) is constant, then \( I \) must increase (because \( I \) is directly proportional to \( V \)).
- Therefore, this statement is True.

5. Sentence 5: If the voltage increases, then the current decreases. Assume resistance is constant.
- According to Ohm's Law, \( I = \frac{V}{R} \).
- If the voltage \( V \) increases while resistance \( R \) is constant, then \( I \) must increase (because \( I \) is directly proportional to \( V \)).
- Therefore, this statement is False.

Based on this analysis, the sentences that are true are:
- Sentence 2: If the resistance decreases, then the current increases. Assume voltage is constant.
- Sentence 4: If the voltage increases, then the current increases. Assume resistance is constant.

Thus, the correct answers are:

(2, 4).
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