Question

Potential due to system of charges ​

Answer 1

Answer:

First of all , Let's know what Potential is ?

• Potential :- At any point in an electric field, it's the amount of work done by an external agent against electric forces in moving a unit positive charge from Infinity to that point Without changing it's Kinetic Energy.

Therefore,

The potential due to a Continuous system of charges is given by,

• $\large \boxed{\large \bold \red{\int k \frac{dq}{r} }}$

Now,

For different system of charges,

Potential is also different.

For Example,

Potential due to a uniformly charged ring on its axis is

• $\large \boxed { \bold \pink{\frac{kq}{ \sqrt{ {r}^{2} + {x}^{2} } } }}$

Potential due to a uniformly charged disc on its axis is

• $\large \boxed{ \bold \pink{\frac{2k \sqrt{ {r}^{2} + {x}^{2} } - x }{ {r}^{2} } }}$

Answer 2

$\huge{ \underline{\underline{ \fcolorbox{white}{pink}{\sf{Answer :-}}}}}$

First of all , Let's know what Potential is ?

Potential :- At any point in an electric field, it's the amount of work done by an external agent against electric forces in moving a unit positive charge from Infinity to that point Without changing it's Kinetic Energy.

Therefore,

The potential due to a Continuous system of charges is given by,

$\: \large \boxed{\large \bold \pink{\int k \frac{dq}{r} }} </p><p>$

Now,

For different system of charges,

Potential is also different.