What is the electric potential between two points 5.0 centimeters apart if the electric field between those points is a constant 250 Newtons/meter?
To determine the electric potential between two points given the electric field, we can use the formula:
Electric Potential (V) = electric field (E) × distance (d)
In this case, the electric field is given as 250 Newtons/meter, and the distance between the two points is 5.0 centimeters. However, it is important to note that to use this formula, we need to ensure that the distance is in meters, as the unit of electric field is Newtons/meter.
To convert centimeters to meters, we divide by 100 since there are 100 centimeters in a meter:
5.0 centimeters ÷ 100 = 0.05 meters
Now, we can substitute the given values into the formula:
Electric Potential (V) = 250 Newtons/meter × 0.05 meters
Calculating the result:
Electric Potential (V) = 12.5 volts
Therefore, the electric potential between the two points is 12.5 volts.