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On increasing the resistance in a circui...

On increasing the resistance in a circuit, the current in it:

A

decreases

B

increases

C

remains unchanged

D

nothing can be said

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question "On increasing the resistance in a circuit, the current in it:", we can follow these steps: ### Step-by-Step Solution: 1. **Understand Ohm's Law**: - Ohm's Law states that \( V = I \times R \), where \( V \) is the voltage (potential difference), \( I \) is the current, and \( R \) is the resistance. 2. **Identify the Relationship**: - From Ohm's Law, we can rearrange the formula to express current in terms of voltage and resistance: \[ I = \frac{V}{R} \] - This shows that current \( I \) is inversely proportional to resistance \( R \) when the voltage \( V \) is constant. 3. **Consider the Effect of Increasing Resistance**: - If we increase the resistance \( R \) while keeping the voltage \( V \) constant, the current \( I \) will change according to the formula: \[ I = \frac{V}{R} \] - As \( R \) increases, the denominator of the fraction increases, which means that \( I \) must decrease. 4. **Conclusion**: - Therefore, when the resistance in a circuit is increased, the current in the circuit decreases. ### Final Answer: - The correct option is: **Option 1: Decreases**.
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