A Problem in " Electric Potential "

AI Thread Summary
The electric potential is zero at a point 4 cm from the 4 µC charge, but there are additional locations along the line between the two charges where this occurs. The discussion emphasizes that the initial answer may not account for all possible points where the electric potential could be zero. It is clarified that the analysis should focus solely on the line connecting the two charges, without considering other dimensions. The participants suggest that there are two distinct locations on this line where the electric potential is indeed zero. Understanding the complete scenario is crucial for accurately determining all points of zero electric potential.
Ana Mido
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Please I want to check my answers of this problem:-
Two charges 4 µc , -6 µc are placed on the x-axis 10 cm apart. where is the electric potential be zero ?

My Answer is:-
"4 cm apart from the charge of 4 µc"
Is that right ?!
 
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Looks right to me!
 
Ana Mido said:
Please I want to check my answers of this problem:-
Two charges 4 µc , -6 µc are placed on the x-axis 10 cm apart. where is the electric potential be zero ?

My Answer is:-
"4 cm apart from the charge of 4 µc"
Is that right ?!
Hello Ana Mido. Welcome to PF !


Certainly, the point at which the Electric Potential is zero is 4 cm away from the charge of 4 µC , but there may be other points 4 cm away from the charge of 4 µC where the Electric Potential is not zero.

Are you only considering the line on which the two charges lie? ... or some plane in which they lie? ... or three dimensional space?

There may also be some other point (or points) where the Electric Potential is zero .
 
SammyS said:
Hello Ana Mido. Welcome to PF !Certainly, the point at which the Electric Potential is zero is 4 cm away from the charge of 4 µC , but there may be other points 4 cm away from the charge of 4 µC where the Electric Potential is not zero.

Are you only considering the line on which the two charges lie? ... or some plane in which they lie? ... or three dimensional space?

There may also be some other point (or points) where the Electric Potential is zero .

I've considered the line on which the two charges lie. No plane . No three dimensional space.
But let's consider the line on which the two charges lie. Will the answer be right ? !
 
Ana Mido said:
I've considered the line on which the two charges lie. No plane . No three dimensional space.
But let's consider the line on which the two charges lie. Will the answer be right ? !
I'm rather sure that there should be one other location.

By The Way: You haven't actually removed all ambiguity regarding your answer of 4 cm away from the charge of 4 µC. There are two such locations on the line on which both charges lie.
 
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