Question

A +1 C charge is placed at position x=-2m, while a 2C charge is placed at position x=3m

a.) Find the net electric field (magnitude and direction) at the origin

b.) Find the net electric field (magnitude and direction) at (x,y)=(0,2m)

Show all work!

Answer #1

(A) due to point charge, E = k q / r^2

E = due to 1C + due to 2C

E = (9 x 10^9 x 1) / (2^2) - (9 x 10^9 x 2)/3^2

E = 250 x 10^6 N/C .....Ans

to the right

(B) In vector form,

E = (k q / |r|^3) (r)

q1 = 1 C

r1 = 2i + 2j |r1| = sqrt(2^2 + 2^2) = 2.828

E1 = (9 x 10^9 x 1 / 2.828^3) (2i + 2j)

E1 = (795.5 x 10^6 i) + (795.5 x 10^6 )j

q2 = 2 C

r2 = - 3 i + 2j |r2| = 3.606 m

E2 = (-1152 x 10^6)i + (768 x 10^6)j

E = E1 + E2 = - 356.5 x 10^6 i + 1563 x 10^6 j

magnitdue = sqrt(365.5^2 + 1563^2)

= 1605 x 10^6 N/C ......Ans

direction= 180 - tan^-1(1563 / 356.5)

= 103 deg

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-3nC charge is placed on the positive x-axis at x= +5.0m.
a) What is the magnitude of the net electric field at the origin
(answer in N/C)
b) What is the direction of the net electric field at the
origin?
c) What are the magnitude and direction of the net electric
field on the y-axis at y=2.00m

Three point charges are placed on the x-axis. A charge of +2.0
μC is placed at the origin, -2.0 μC to the right at x = 50 cm, and
+4.0 μC at the 100 cm mark.
a. Find the net electric force (magnitude and direction) that
acts on the charge at the origin.
b. Find the net electric field (magnitude and direction) at x =
25 cm.
c. Find the net electric force (magnitude and direction) on a
charge Q...

PLEASE SHOW ALL WORK!
A point charge of 5.00 μC is placed at the point (x, y) = (20.0
cm, 30.0 cm).
a) What is the magnitude and direction of the electric field E
at the origin?
b) What is the magnitude and direction of the electric field at
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A 2.18 10-9 C charge has coordinates
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2.79 10-9 C charge has coordinates x
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charge has coordinates x = 3.00, y = 4.00, where
all distances are in cm. Determine magnitude and direction for the
electric field at the origin and the instantaneous acceleration of
a proton placed at the origin.
(a) Determine the magnitude and direction for the electric field
at the origin (measure the...

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the origin and the instantaneous acceleration of a proton placed at
the origin.
(a) Determine the magnitude and direction for the electric field
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A point charge of -9.00x10-9 C is located at the point (x,y) =
(0,3) meters on the y-axis, while a second point charge of
+6.00x10-9 C is located at the point (x,y) = (4,0) meters on the
x-axis.
(a) Calculate the total electric field (magnitude and direction)
that these point charges generate at the origin of the
xy-coordinate system.
(b) A third point charge of -2.00x10-9 C is now placed at the
origin of the xy-coordinate system while keeping the...

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10-9 C charge has coordinates x = 3.00, y = 0; and a -4.70 10-9 C
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in cm. Determine magnitude and direction for the electric field at
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Determine the magnitude of the net electric field at the origin and
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4. A point charge 7.00 uC is placed at the origin and -5.00 uC
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(a) Electric field due to 7.00 uC on y-axis at the point
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(b) Electric field due to -5.00 uC at the same point.
(c) Net electric field and it’s direction due to total charges
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