#### Question

Keeping the resistance constant, the potential difference applied across the ends of a component is halved. By how much does the current change?

#### Solution

From Ohm's law we have:*V* / *I* = *R*

Or *I* = *V*/*R*

Now, according to the question, the resistance is constant and the potential difference is halved.

i.e. *R'* = *R*

and *V'* = *V*/2

Then the new current is given by:*I'* = *V'*/*R'*

= *V*/2/*R*

= (1/2) (*V*/R)

= (1/2) *I*

It is clear from the above statement that the current becomes half.

Is there an error in this question or solution?

Solution Keeping the Resistance Constant, the Potential Difference Applied Across the Ends of a Component is Halved. by How Much Does the Current Change? Concept: Electric Potential Difference.