If in a circuit both the potential difference and resistance are doubled, then:(a) current is doubled. (b) current is halved. (c) current remains same. (d) current is four times.
Question
If in a circuit both the potential difference and resistance are doubled, then:(a) current is doubled. (b) current is halved. (c) current remains same. (d) current is four times.
Solution
The current in a circuit is given by Ohm's Law, which states that the current (I) is equal to the voltage (V) divided by the resistance (R). Mathematically, this is expressed as I = V/R.
If both the potential difference (V) and resistance (R) are doubled, then the new current (I') is given by I' = 2V/2R.
Simplifying this equation gives I' = V/R, which is the original current (I). Therefore, the current remains the same. So, the correct answer is (c) current remains same.
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