Select all the correct answers.
According to Ohm's law, which is stated as [tex]$I=V \div R$[/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.

Ohm's Law is I = V / R .
If voltage is constant, current and resistance are inversely proportional.
If current is constant, voltage and resistance are directly proportional.
If resistance is constant, voltage and current are directly proportional.
The correct statements are: If the resistance decreases, then the current increases. Assume voltage is constant; If the voltage increases, then the current increases. Assume resistance is constant. St a t e m e n t s 2 an d 4 ​

Explanation

Understanding Ohm's Law Ohm's Law states that I = V / R , where I is the current, V is the voltage, and R is the resistance. We need to analyze each statement to see if it is consistent with this law.

Analyzing Statement 1 Statement 1: If the current increases, then the resistance increases. Assume voltage is constant. If V is constant, then I = V / R . If I increases, R must decrease. Therefore, Statement 1 is false.

Analyzing Statement 2 Statement 2: If the resistance decreases, then the current increases. Assume voltage is constant. If V is constant, then I = V / R . If R decreases, I must increase. Therefore, Statement 2 is true.

Analyzing Statement 3 Statement 3: If the voltage increases, then the resistance decreases. Assume current is constant. If I is constant, then I = V / R can be rewritten as V = I R . If V increases, R must increase. Therefore, Statement 3 is false.

Analyzing Statement 4 Statement 4: If the voltage increases, then the current increases. Assume resistance is constant. If R is constant, then I = V / R . If V increases, I must increase. Therefore, Statement 4 is true.

Analyzing Statement 5 Statement 5: If the voltage increases, then the current decreases. Assume resistance is constant. If R is constant, then I = V / R . If V increases, I must increase. Therefore, Statement 5 is false.

Conclusion The true statements are Statement 2 and Statement 4.


Examples
Ohm's law is fundamental in electrical engineering. For example, if you are designing a circuit with a fixed voltage source (like a battery) and you need a specific current to flow through a component (like an LED), you can use Ohm's law to calculate the necessary resistance. If you know the LED needs 20mA of current at 3V, you can calculate the required resistor value to be R = V / I = 3 V /0.02 A = 150Ω . This ensures the LED operates correctly without burning out. Similarly, understanding the relationships between voltage, current, and resistance helps in troubleshooting electrical problems, optimizing power consumption, and ensuring the safe operation of electrical devices.

Answered by GinnyAnswer | 2025-07-08

The true statements according to Ohm's Law ( = V/R) are: B. If the resistance decreases, then the current increases (with constant voltage), and D. If the voltage increases, then the current increases (with constant resistance). Thus, the correct answers are B and D .
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Answered by Anonymous | 2025-07-22