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If the potential difference across the e...

If the potential difference across the ends of a conductor is doubled, the current flowing through it gets

A

doubled

B

halved

C

four times

D

no change

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we will use Ohm's Law, which states that the current (I) flowing through a conductor between two points is directly proportional to the potential difference (V) across the two points and inversely proportional to the resistance (R) of the conductor. Mathematically, this can be expressed as: \[ I = \frac{V}{R} \] ### Step-by-Step Solution: 1. **Identify the initial conditions**: Let the initial potential difference across the conductor be \( V_0 \) and the current flowing through it be \( I_0 \). According to Ohm's Law: \[ I_0 = \frac{V_0}{R} \] 2. **Consider the new condition**: The problem states that the potential difference is doubled. Therefore, the new potential difference \( V \) becomes: \[ V = 2V_0 \] 3. **Calculate the new current**: Using Ohm's Law again for the new potential difference: \[ I' = \frac{V}{R} = \frac{2V_0}{R} \] 4. **Relate the new current to the initial current**: We can express the new current \( I' \) in terms of the initial current \( I_0 \): \[ I' = \frac{2V_0}{R} = 2 \left(\frac{V_0}{R}\right) = 2I_0 \] 5. **Conclusion**: The new current \( I' \) is twice the initial current \( I_0 \). Therefore, if the potential difference across the ends of a conductor is doubled, the current flowing through it also gets doubled. ### Final Answer: The current flowing through the conductor gets **doubled**.
To solve the question, we will use Ohm's Law, which states that the current (I) flowing through a conductor between two points is directly proportional to the potential difference (V) across the two points and inversely proportional to the resistance (R) of the conductor. Mathematically, this can be expressed as: \[ I = \frac{V}{R} \] ### Step-by-Step Solution: 1. **Identify the initial conditions**: Let the initial potential difference across the conductor be \( V_0 \) and the current flowing through it be \( I_0 \). According to Ohm's Law: ...
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