Physics Consider a square which is 1.0 m on a side. Charges are placed at the co
ID: 2280113 • Letter: P
Question
Physics
Consider a square which is 1.0 m on a side. Charges are placed at the corners (marked A,B,C D) of the square as shown in the figure.(Figure 1) Q = 8 mu C and q = 2 mu C The distance of each comer to the center of the square is 0.707 m. What is the magnitude of the electric field at the center of the square? Express your answer using three significant figures. What is the direction of the electric field at the center of the square, (angle measured in degrees CCW from the positive x axis in the usual sense) What is the electric potential at the center of the square? If a - 1 mu C charge is placed at the center of the square, what is the x-component of the electrostatic force on the charge? If a - 1 mu C charge is placed at the center of the square, what is the y-component of the electrostatic force on the charge? If a - 1 mu C charge is placed at the center of the square, how much work (positive or negative) would you have to do to remove it to infinity?Explanation / Answer
since E= Kq/r2
a) at centre E = 2* k* q/r2= 2*k*2 x 10-6/ 0.71^2= 72.20 x103 v/m
b) 145 degrees anticlockwise
c) potential 2* K *Q / r= 2*9.1x10**9* 8 x10-6/ 0.71= 205.1 x10**3 V
d) force on -1 uC= qE= -1x10-6*72.20 x103 = -72.20 x10-3 N
x component would be 51.05x10-3 in +ve x direction
e) y component would be 51.05x10-3 in -ve Y direction
f) workdone would negative of potential energy due to central charge so i.e - kq1q2/r2
=-9.1x10 9* (-1x10-6)*(2*8X10-6)/0.71
= 205.1 x10-3 VC