# Homework Help: Electric Potential

1. Feb 27, 2010

### lha08

1. The problem statement, all variables and given/known data
The gap in the spark plug of the car is 0.1 cm. What potential difference is needed to produce a spark given that the breakdown strength of air is 3X10^6 V/m.

2. Relevant equations

3. The attempt at a solution
I'm sort of confused by what they're asking...like i tried using the formula V= -Ed but then apparently in the answers, it says 'for 1 m, voltage difference is 3X10^6 V. For 0.1 cm, voltage difference is 0.001 X (3X10^6)= 3000V.
I don't understand why do we need to compare it to 1 m and why when they calculated it, they didn't place a negative sign like in the formula...

2. Feb 27, 2010

### Staff: Mentor

They are just trying to explain the meaning of the formula. The electric field is given as XXX volts/meter, so the voltage difference is proportional to the distance. It's equivalent to just using the formula.
All they want is the magnitude of the potential difference. The sign of the potential difference depends on the direction of the field, which is not given.

3. Feb 27, 2010

### lha08

I'm noticing that when I'm doing problems and they ask for the change in electric potential, for some reason, they are always taking the magnitude while I'm always adding a positive or negative sign..like for example, when an electron is moving with the field (its negative work) but then I thought that the potential should also be negative since it's losing potential energy...but its not...is there any particular reason as to why this is?

4. Feb 27, 2010

### Staff: Mentor

Don't confuse potential with potential energy. An electron is negative, so its potential energy decreases as it moves in the direction of the field even though the potential is increasing.