Consider two charges Q and q separated by a distance d . If the potential at the point p (which is in right side from both charges) is V=0 , we can conclude (one answer only):
a)no net force would act on a test charge located at P .
b)Q and q must be same sign but different magnitude.
c)the net work required to move a third charge from inifinity to point P is zero
d)Electric field at P is zero.
e)none of the above.
ΔV =V(∞)-V
V(∞)=0
V=0 =>
ΔV = 0
Work of electric field = q₃ΔV=0
Answ. c)
To answer this question, we need to understand the concept of potential and electric field.
The potential at a point is a measure of the electrical potential energy per unit charge at that point. It determines how much work would be done on a positive test charge if it were moved from infinity to that point. The electric field, on the other hand, is a measure of the force per unit charge experienced by a test charge at a given point.
In this scenario, we are given that the potential at point P is V = 0. This means that if we were to move a positive test charge from infinity to point P, no work would be done on the charge.
Now let's evaluate the answer choices:
a) If there is no net force acting on a test charge at point P, it means the electric field is zero. However, this cannot be concluded based solely on the information given, so it is not the correct answer.
b) The signs and magnitudes of charges Q and q are not specified, so we cannot make any conclusions about them based on the potential at point P. Therefore, this is not the correct answer.
c) This statement is true based on the information given. If the potential at point P is zero, it means no work is done to move a third charge from infinity to point P. Therefore, this is the correct answer.
d) The electric field at point P cannot be concluded based solely on the information given about the potential. Therefore, this is not the correct answer.
e) We have already determined that option c) is the correct answer, so none of the other options are correct. Therefore, none of the above is the correct answer.
In conclusion, the correct answer is c) the net work required to move a third charge from infinity to point P is zero.