Physics, asked by Vishal101100, 10 months ago

hey mates...


Answer my previous question too.....

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Answered by nirman95
7

Answer:

Given:

3 charges of equal magnitude are placed at the 3 vertices of an equilateral triangle of side l

To find:

Force experienced by a. charge placed at the centroid.

Concept:

First of all you need to calculate the distance of the charges from the centroid.

Altitude in an equilateral triangle is as follows :

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \boxed{d =   \dfrac{ \sqrt{3} }{2} l}

Centroid divides this line in the

ratio of 2 : 1 .

So distance of each charge (at vertex) from the centroid is :

r =  \dfrac{2}{3}  \times  \dfrac{ \sqrt{3} }{2} l =  \dfrac{l}{ \sqrt{3} }

Calculation:

Force experienced by the centre charge due to each vertex charge is :

f =  \dfrac{1}{4\pi \epsilon} ( \dfrac{qQ}{ {r}^{2} } )

 =  > f =  \dfrac{1}{4\pi \epsilon}  \{\dfrac{qQ}{ { (\frac{l}{ \sqrt{ 3} } )}^{2} }  \}

 =  > f =  \dfrac{3}{4\pi \epsilon}  \{ \dfrac{qQ}{ {l}^{2} }  \}

Now these forces are vector quantities which are located at 120° to each other.

When equal vectors are located at 120° to each other , the net resultant will be zero.

So final answer :

 \boxed{ \large{ \sf{ \red{f_{net} = 0 \: Newton}}}}

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Answered by rohillaking
0

Answer:

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