Show step by step solutions , draw diagrams fro solving the question: 1. PART A:

Question

Show step by step solutions , draw diagrams fro solving the question:

1.

PART A:

A spherical insulator of radium 6 mm carries a total charge of 14 nC. The charge is uniformly distributed throughout the volume of the insulator. What is the magnitude of the electric field at 8 mm from the center of the sphere?

PART B: Three identical 3.0-µC charges are placed at the vertices of an equilateral triangle that measures 30 cm on a side. What is the magnitude of the electrostatic force on any one of the charges?

Two 3.0 ?C charges lie on the x-axis, one at the origin and the other at What is the potential (relative to infinity) due to these charges at a point at on the x-axis?

PART A:

A spherical insulator of radium 6 mm carries a total charge of 14 nC. The charge is uniformly distributed throughout the volume of the insulator. What is the magnitude of the electric field at 8 mm from the center of the sphere?

PART B: Three identical 3.0-µC charges are placed at the vertices of an equilateral triangle that measures 30 cm on a side. What is the magnitude of the electrostatic force on any one of the charges?

Explanation / Answer

A)

E = k*Q/r^2

E = (9*10^9*14*10^-9)/(8*10^-3)^2

E = 1968750 N/C <<<--------------ANSWER

B)

F21x = k*q^2/r^2 = (9*10^9*(3*10^-6)^2)/(0.3^2) = 0.9 N

F21y = 0

F31x = k*q^2*cos60/r^2 = (9*10^9*(3*10^-6)^2*cos60)/(0.3^2) = 0.45 N

F31y = k*q^2*sin60/r^2 = (9*10^9*(3*10^-6)^2*sin60)/(0.3^2) = 0.78 N

Fx = F1x + F31x = 1.35 N

Fy = 0.78 N

F = sqrt(1.35^2+0.78^2) = 1.56 N     <<<<--------------ANSWER

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