Question

Consider the two charges on the x-axis in the diagram below. Each charge is 22 cm from the origin, Q1= 4.35 mu C and Q2= 6.79 mu C. What is the electric potential at point P on the y-axis a distance of 64 cm from the origin (in V)? What is the magnitude of the electric field at the ORIGIN (in N/C)? Tries 0/20

Answer 1

1)from diagram total electric potential at point P is V=V1+V2

here V1=1/(4$\pi \epsilon$₀)*(q₁/r)=9*10⁹*(4.35*10^-6/($\sqrt{}$((22²+64²)*10^-4)=57.85*10³V

V2=1/(4$\pi \epsilon$₀)*(q₂/r)=9*10⁹*(6.79*10^-6/($\sqrt{}$((22²+64²)*10^-4)=90.30*10³V

total potential V=57.85*10³V+90.30*10³V=148.15*10³V

2)magnitude of Electric field at origin is E=1/(4$\pi \epsilon$₀)*(q2-q1)/r²

   ^E=9*10⁹*(6.79-4.35)*10^-6/(22*10^-2)²=453*10³N/c