Q4: Three chargers are placed on the points corresponding to the corners of the
ID: 3892227 • Letter: Q
Question
Q4: Three chargers are placed on the points corresponding to the corners of the square shown above (see diagram). The three charges are located at points A, B, & C. No charge is placed at point P. The square has a side length of d = 4.00 m (all sides are of equal length). The charges are as follows:
Charge at points A & C = 3.00uC
Charge at point B = -2.50uC
(A) Find the electric potential at point P.
(B) If we release a proton from a distance that is infinitely far away, how fast should the proton be in order for it to be at rest at the point P?
(C) How much work was required to arrange the system shown in the diagram?
Explanation / Answer
k=8.99*10^9
a)V=k*q/rbar
V=K(3/4i+3/4j-1.76/4i-1.7/46j)
V=(0.31i+0.31j)*1/4pi*epsilon=(2.79i+2.79j)*10^12volts
b)W=|q.V|
W=0.4383*1.6*10^(-19)*k
W=0.7k*10^(-19)=6.3*10^-7J
c)Work Done=Electro static PE of the system
W=-sigma(k*q1*q2/r)
W=-k*((-2.5*3/4)*2 +(3*3)/4*1.414 )
W=-k*(-3.75 + 1.591)
W=-k*(-2.15)
W=2.15*k joules=19.35*10^12J,
k=(1/4*pi*epsilon)
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