Question

If 10 point charges are placed at x = 1 m, 2 m, 3 m - 10 m as shown in figure, then value of electricfield at origin 'O' is
(1) 110 k
(2) 60k
(3) 50 k
(4) 55k
​

Answer 1

Given :

10 point charges are placed at x = 1 m, 2 m, 3 m - 10 m as shown in figure .

To Find :

The value of electric field at origin 'O' .

Solution :

We know electric field due to point charge q at a distance of r is given by :

$E=\dfrac{kq}{r^2}$

Therefore , net electric field at origin 'O' is given by :

$E_{net}=[\dfrac{k(1)}{1^2} +\dfrac{k(8)}{2^2}+\dfrac{k(27)}{3^2}+.......\dfrac{k(1000)}{10^2}]\\\\E_{net}=[ 1+2+3+.........+10]k\\\\E_{net}=55k$

Therefore , net electric filed at origin is 55k .

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Electrostatics

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Answer 2

Answer:

Therefore , net electric filed at origin is 55k .

Explanation:

The electric powered discipline may be calculated the usage of the equation E = F/q wherein q is the importance of the take a look at price in coulombs (C); F is the electrical pressure at the take a look at price carried out with the aid of using the supply price in Newton (N), and E is the power of the electrical discipline at that factor in Newton in keeping with coulomb (N/C).When they're represented with the aid of using strains of pressure, or discipline strains, electric powered fields are depicted as beginning on effective fees and terminating on bad fees. A line tangent to a discipline line suggests the course of the electrical discipline at that factor.

Given :

10 factor fees are positioned at x = 1 m, 2 m, three m - 10 m as proven in figure  

To Find :  

The price of electrical discipline at beginning 'O' .  

Solution :  

We understand electric powered discipline because of factor price q at a distance of r is given with the aid of using :

E=kq/r²

Therefore , internet electric powered discipline at beginning 'O' is given with the aid of using :

Enet=k(1)/1² + k(8)/2²+ k(27)/3² + ............... K(1000)/10²

E internet = (1+2+three+........+10)k

Enet=55k

Therefore , internet electric powered filed at beginning is 55k .

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