What is the net electrostatic force (magnitude and direction) on a particle with charge +5μC situated at the apex of an equili!ateral triangle if each of the other corners contain identical charges of-6 μC and the length of a side of the triangle is 0.10 m?

Respuesta :

Answer:

net electrostatic force = 46.76 N

and direction is vertical downward

Explanation:

given data

charge =  +5μC

corners identical charges = -6 μC

length of side = 0.10 m

to find out

What is the net electrostatic force

solution

here apex is the vertex where the two sides of equal length meet

so upper point A have charge +5μC and lower both point B and C have charge -6 μC

so

force between +5μC and -6 μC is express as

force  = [tex]k \frac{q1q2}{r^2}[/tex]       ..............1

put here electrostatic constant  k = 9 × [tex]10^{9}[/tex] Nm²/C² and q1 q2 is charge given and r is distance 0.10 m

so

force  = [tex]9*10^{9} \frac{5*6*10^(-12)}{0.10^2}[/tex]

force = 27 N

so net force is vector addition of both force

force = [tex]\sqrt{x^{2}+x^{2}+2x^{2}cos60}[/tex]

here x is force 27 N

force = [tex]\sqrt{27^{2}+27^{2}+2(27)^{2}cos60}[/tex]

net electrostatic force = 46.76 N

and direction is vertical downward

Ver imagen DeniceSandidge