A charge of #16 C# is passing through points A and B on a circuit. If the charge's electric potential changes from #24 J# to #3 J#, what is the voltage between points A and B?

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Answer 1 · 2017-02-25T02:32:19

#V=sqrt3-sqrt(3/8)#

The equation that

#U=(1/2)QV^2#

We're given #U=3# and #24#. We're also given that #Q=16# Plug in for both situations.

#24=(1/2)(16)(V)^2#

Solve for V:

#V=sqrt3#

Now repeat for the other one:

#3=(1/2)(16)(V)^2#

#V=sqrt(3/8)#

The voltage in between these points is the change in voltage:

#V=sqrt3-sqrt(3/8)#