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42a

Question

In the figure the four particles form a square of edge length a = 5.50 cm and have charges q1 = 7.48 nC, q2 = -21.4 nC, q3 = 21.4 nC, and q4 = -7.48 nC. What is the magnitude of the net electric field produced by the particles at the square's center?

42
a
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42 a

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Step 1

Given:

Charge q1 = 7.8 nC

Charge q2 = -21.4 nC

Charge q3 = 21.4 nC

Charge q4 = - 7.8 nC

Length of the side of the square, a = 5.5 cm

Step 2

Calculating the electric field at the center O due to charge q1:

A
From the dia gram,
OA OB oCs OD
Electric ield
at the center due to V1,
KOV
(0s2)
KoVi
2Kv
EL
a 2
(OA) 2
-9
Substitute K = qx£o° Nm°/c^, ^,
in eauation (),
-2
and a
5.5 X10 m
2 x 9Xlo x (4d x 1o)
(5-5 xi62
E,
4.45xlo N/c Towards c)
1
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A From the dia gram, OA OB oCs OD Electric ield at the center due to V1, KOV (0s2) KoVi 2Kv EL a 2 (OA) 2 -9 Substitute K = qx£o° Nm°/c^, ^, in eauation (), -2 and a 5.5 X10 m 2 x 9Xlo x (4d x 1o) (5-5 xi62 E, 4.45xlo N/c Towards c) 1

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Step 3

Calculating the electric field at th...

at the center du to 2
Electic
E =
2 Kv2
Kav2
KV2
CUB2
a 2
-9
Substitute K g x lNc
in en
-2xio C
-2
and a 5 5x1
2xg Xlox (21-ų xio
( 5-5X15
E2
E2
12-73 X1o" N
Towand e)
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at the center du to 2 Electic E = 2 Kv2 Kav2 KV2 CUB2 a 2 -9 Substitute K g x lNc in en -2xio C -2 and a 5 5x1 2xg Xlox (21-ų xio ( 5-5X15 E2 E2 12-73 X1o" N Towand e)

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