Four charges are located at the corners of a rectangle as shown, with charge Q =

Question

Four charges are located at the corners of a rectangle as shown, with charge Q = 22.0 nC (nano-coulombs). Using the symmetry of the situation, determine the net electric field at the center of the rectangle. Give its magnitude, and show its direction on the diagram with a vector labeled Enet.

2. (15 pts) Four located at the corners of a rectangle as shown, with charge Q 22.0 nc (nano- ing the symmetry of the situation, determine the net electric field at the center of the rectangle. coulombs). a vector labeled Enet. Give its magnitude, and show its direction on the diagram with o, as qu 3,163 y lo s NIC t 1 30.0 cm 2.2.0 y g 88 Ex 163 f 3 N/e. 3,1 K. 2,0 x N/C 3,163 Y no A) C Page 2/10

Explanation / Answer

Distance from center to midpoint = sqrt(30^2 + 40^2)/2 = 50/2 = 25 cm = 0.25 m

As i can see from the fig, Q2 is negative and rest all are positive !!!
So, q1 & q3 will be cancelled due to symmetry !!

And Electric field due to q2 & q4 will be added up due to symmetry !!

Enet = (2*8.9*22)/0.25^2
Enet = 6265.6 N/C

Direction towards charge Q2 !!!

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