A neutral point is a point where resultant electrical field is zero. It is obtained where two electrical field are equal and opposite. Thus neutral points can be obtained only at those points where the resultant field is subtractive.
At an internal point along the line joining two like charges (Due to a system of two like point charge):
Suppose two like charges. Q1 and Q2 are separated by a distance x from each other along a line as shown in following figure.
![268_Neutral Point.png](https://www.expertsmind.com/../CMSImages/268_Neutral Point.png)
If N is the neutral position at a distance x1 from Q1 and at a distance x2 (= x - x1) from Q2 then:
At N | E.F. due to Q1 | = | E.F. due to Q2 |
i.e.,
Short trick: ![1265_Neutral Point2.png](https://www.expertsmind.com/../CMSImages/1265_Neutral Point2.png)
At an external point long the line joining two like charges (Due to a system of two unlike point charge):
Consider two unlike charge Q1 and Q2 separated by a distance x from each other.
![1138_Neutral Point3.png](https://www.expertsmind.com/../CMSImages/1138_Neutral Point3.png)
Here neutral position relays outside the line joining two unlike charges and also it lies nearer to charge which is smaller in magnitude.
If | Q1 | < | Q2 | then neutral point will be obtained on the side of Q1, suppose it is at a distance l from Q1
Hence at neutral point
;
Short trick:
Zero potential:
If both charges are like then resultant potential is not zero at any finite point because potentials due to like charges will have same sign and can therefore never add up to zero such a point can be therefore obtained only at infinity.
If the particles are unequal and unlike then all such points where resultant potential is zero on a closed curve, but we are interested only in those points where potential is zero along the line joining the two charges.
Two such points exist, one lies inside and one lies outside the charges on the line joining the charged particle. Both the above position lie nearer the smaller charge, as potential created by the charge larger in magnitude will become equal to the potential crated by smaller charge at the desired point at larger distance from it.
For internal point
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For External point
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(It is assumed that )
![2188_Neutral Point5.png](https://www.expertsmind.com/../CMSImages/2188_Neutral Point5.png)
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![1391_Neutral Point6.png](https://www.expertsmind.com/CMSImages/1391_Neutral%20Point6.png)
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