# A charge of #12 C# is passing through points A and B on a circuit. If the charge's electric potential changes from #64 J# to #42 J#, what is the voltage between points A and B?

##### 1 Answer

Mar 6, 2016

#### Answer:

#### Explanation:

When the potential energy of a positive charge decreases, the positive charge is traveling from a region of higher potential to a region of lower potential.

#V_B > V_A#

Use the formula

#q DeltaV = Delta U# .

As the potential energy changed from

#Delta U = U_B - U_A#

#= 42 quad "J" - 64 quad "J"#

#- 22 quad "J"#

#Delta V = frac{Delta U}{q}#

#= frac{- 22 quad "J"}{12 quad "C"}#

#= -1.83 quad "V"#

This means that

#V_B - V_A = -1.83 quad "V"#