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Three point charges------ two 3 nC chages and one -2 nC chage --- are held in fi

ID: 2277822 • Letter: T

Question

Three point charges------ two 3 nC chages and one -2 nC chage --- are held in fixed positions at equal distances from each other along a circular arc with a radius of 4.12 cm.

a. What is the electric field at the center ofd the arc?

b. What force would arc on a -5.30 nC charge places there?


Please explain in detail to get points

Three point charges------ two 3 nC chages and one -2 nC chage --- are held in fixed positions at equal distances from each other along a circular arc with a radius of 4.12 cm. What is the electric field at the center ofd the arc? What force would arc on a -5.30 nC charge places there? Please explain in detail to get points

Explanation / Answer

a) Electric field= 2E1cos30+E2

where E1 is electric field due to +ve charge and E2 is electric field due to -ve charge.

Vertical components cancel and horizontal component is E1cos30

Electric Field= 9*10^9[3^(1/2)*3*(10^-9)/((4.12^2)*10^-4)-(2*10^-9/(4.12^2*10^-4))]

=2.755*10^4-1.06*10^4=1.69*(10^4) N/C

b)Force= qE=-5.3*10^-9*1.69*10^4= -8.957*10^(-5) N

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