Geography, asked by 009moon, 2 months ago

two charges 5×10^(-8) C and -3×10^(-8) are located 16cm apart. at what points on the line joining the two charges is the electric potential zero ? take the potential at infinity to be zero.​

Answers

Answered by BrainlyBAKA
2

\huge\green{\underline{\underline{Given :}}}

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  • q1 = 5 × {10}^{-8}

  • q2 = -3 x {10}^{-8}

  • Distance(d) = 16cm = 0.16m

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\huge\green{\underline{\underline{To\:Find :}}}

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  • Position where the electric potential is 0.

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\huge\green{\underline{\underline{Solution :}}}

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\huge{•} Let C be the point from 'x cm' to the right of charge q(1) where electric potential is zero. (as shown in the fig.)

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According to Question,

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\pink{\boxed{{V \:=\: }\frac{kq1}{r1}+\frac{kq2}{r2}}}

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 =>\large{ V \:=\: \frac{kq1}{x}+\frac{kq2}{d-x}}

When, Electric Potential is zero,

 => \large{0 \:=\: \frac{kq1}{x}+\frac{kq2}{d-x}}

 \large{=> \frac{kq1}{x}  \:=\: - \frac{kq2}{d-x}}

 \large{=> \frac{q1}{x}  \:=\: - \frac{q2}{d-x}}

On putting the values,

 \large{=> \frac{5 × {10}^{-8}}{x}  \:=\: - \frac{-3 x {10}^{-8}}{0.16-x}}

 \large{=> \frac{5}{x}  \:=\: \frac{3}{0.16-x}}

On Cross Multiplication we get,

=> 3x\: =\: 0.80\: - \:5x

=> 8x\: =\: 0.80

=> x \:= \:- 0.10

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\large\pink{\fbox{=>\:x\: =\: 0.10\: m\: or\: 10\: cm}}

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Thus, the Electric Potential is zero at 10 cm at right side of charge q(1) or (16-10) 6 cm at left side of charge q(2).

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