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Consider two separate systems, each with four charges of magnitude q arranged in

ID: 585994 • Letter: C

Question

Consider two separate systems, each with four charges of magnitude q arranged in a square of length L as shown above. Points a and c are in the center of their squares while points b and d are half way between the lower two charges. Select True or False for the following statements.

The electric potential at b is zero.
The electric potential at a is zero.
The electric field at c is zero.
The electric field at b is zero.
The electric potential at c is zero.
The electric potential at d is zero.
The electric field at d is zero.
The electric field at a is zero.

Using the diagram above, find the magnitude of the electric field at point d.
DATA: q= 0.750 ?C, L= 0.40 m.

Figure 1 Figure 2 14 -q -q -q -q +q 14 +q

Explanation / Answer

The electric potential at b is zero.    TRUE


The electric potential at a is zero.     TRUE


The electric field at c is zero.         TRUE


The electric field at b is zero.       FALSE     


The electric potential at c is zero.     TRUE

The electric potential at d is zero.     FALSE

The electric field at d is zero.           FALSE

The electric field at a is zero           TRUE

r = Sqrt(L^2 + L^2/4) = sqrt(0.4^2+0.2^2) = 0.45 m

Ey = 2*k*q*L/r^3

Ey = (2*9*10^9*0.4)/0.45^3


Ey = 79012345679.012344 N/C

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