Two charges 5 x 10–8C and –3 x 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero. - Zigya
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Two charges 5 x 10–8C and –3 x 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.


The other possibility of point where total potential due to q1 and q2 are zero may be that point lies out side the segment joining q1 and q2

The other possibility of point where total potential due to q1 and q

Let required point P lies x from straight q subscript 1 then straight V subscript 1 plus straight V subscript 2 space equals space 0
                           Kq subscript 1 over straight x plus fraction numerator Kq subscript 2 over denominator left parenthesis straight x minus 0.16 right parenthesis end fraction equals 0
             straight K open square brackets fraction numerator 5 cross times 10 to the power of negative 8 end exponent over denominator straight x end fraction minus fraction numerator 3 cross times 10 to the power of negative 8 end exponent over denominator left parenthesis straight x minus 0.16 right parenthesis end fraction close square brackets space equals space 0
or                               5 over straight x minus fraction numerator 3 over denominator straight x minus 0.16 end fraction space equals 0
                            fraction numerator 5 straight x minus 0.8 minus 3 straight x over denominator straight x left parenthesis straight x minus 0.16 right parenthesis end fraction space equals space 0
                                2 straight x minus 0.8 space equals space 0
straight x equals fraction numerator 0.8 over denominator 2 end fraction
straight x space equals space 0.4 space straight m
space space space equals space 40 space cm
required point is 40 cm away from  q1 and (40 – 16) = 24 cm from q2.
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