An infinite number of charges, each equal to 'Q' coulomb, are placed along the $$x-axis$$ at $$x(in$$ $$meter)=1$$,$$2$$,$$4$$,$$8$$.... and so on. The potential in SI units at $$x=0$$ due to this set of charges are respectively $$14$$π∈$$0$$ times.

Question

An  infinite number of charges, each equal to 'Q'      coulomb, are  placed along the $$x-axis$$ at $$x(in$$ $$meter)=1$$,$$2$$,$$4$$,$$8$$....      and so  on.  The potential in SI units at $$x=0$$      due to this  set of charges are respectively $$14$$π∈$$0$$       times.

Infinity Learn · Accepted Answer

electric potential is $$V=$$ $$14$$πεoqr here sum of all potentials is $$V=$$ $$V1+V2+$$ ............ $$V=$$ $$14$$πε$$o11+$$ $$12$$ $$+$$ $$14+$$ $$18+$$.........$$V=$$ $$14$$πε$$o11-12$$  $$(sum$$ of infinte $$GP)V=2Q14$$πεo

An infinite number of charges, each equal to $' Q'$ coulomb, are placed along the x-axis at $x (i n m e t e r) = 1, 2, 4, 8....$ and so on. The potential in SI units at $x = 0$ due to this set of charges are respectively $\frac{1}{4 π \in_{0}}$ times.

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An infinite number of charges, each equal to 'Q' coulomb, are placed along the x-axis at x(in meter)=1,2,4,8.... and so on. The potential in SI units at x=0 due to this set of charges are respectively 14π∈0 times.

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Ready to Test Your Skills?

free study material

An infinite number of charges, each equal to $' Q'$ coulomb, are placed along the x-axis at $x (i n m e t e r) = 1, 2, 4, 8....$ and so on. The potential in SI units at $x = 0$ due to this set of charges are respectively $\frac{1}{4 π \in_{0}}$ times.