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Home/ Questions/Find the electric field at the origin, point O. Give the x and y components of...
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Asked: April 10, 20222022-04-10T07:23:24+00:00 2022-04-10T07:23:24+00:00In: Physics

Find the electric field at the origin, point O. Give the x and y components of…

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Find the electric field at the origin, point O. Give the x and y components of...

Find the electric field at the origin, point O. Give the x and y components of the electric field as an ordered pair.

Express your answer in newtons per coulomb to three significant figures.

Keep in mind that an x component that points to the right is positive and a y component that points upward is positive.


♦ Relevant knowledge

Two point charges created an electric field at the source. The first and second charges are placed respectively on the x- and y-axes. Coulomb’s Law was used to calculate the electric field.

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  1. tonytutoria
    2022-04-10T07:29:45+00:00Added an answer on April 10, 2022 at 7:29 am
    Concepts and Reason

    To solve the problem, you will need to understand the electric field due to a single charge and the distance formula which gives the distance between charges and their origin.

    Consider the electric field created by a point charge. Next, calculate the x and y
elements of an electric field. Then, express the answer as an ordered pair of its components using three significant figures.

    Fundamentals

    Point charge creates electric field

    The “force acting per unit of charge” is called the electric field. The direction of the electric field is the force that a unit positive charge exerts.

    A point charge creates an electric field.

    q
E =
2
r.
4πεο

    Е
refers to the electric field. refers to the permissivity of free space. represents the point charge. indicates the distance between charges.

    To do this, you will need to calculate the distance between the charged point and the given point.

    2
+(у, - у
r=

    (х. у)
, (*,,y)
are the points at which point charges will be placed.

    Now calculate the components of electric field due to the charges at the origin ‘O’. Finally, give the answers using three significant numbers.

    Expression for an electric field due to the point charge:

    Take the expression “electric field due to a single charge” in mind.

    q
E =
2
r.
4πεο

    Distance between the charge 1 (and the origin),

    +(y2-y

    Substitute these values

    = (16 m-0 m) +(0 m-0 m)
- 16 m

    Distance between charge 2 and origin

    =(x*-x) +(yy)
2

    Substitute these values

    -9 m-0 m)+(0 m-0 m)*
=9 m

    Substitute 9x10° Nm2/C2
to get k
, 8 nC
to get , and 16 m to get

    x-component of electric field due to the charge 1 at the point O

    (9x10 Nm2/C*)x8nCx10C
(16 m)
0.28125 N/C
1nC
lx

    Substitute 9x10° Nm2/C2
with k
, and 6 пС
with 42
. 9 m is for . This will give you the x component in the electric field caused by the charge 2 at O.

    (9x10 Nm2/c)6 nCx 10°C
(9 m)
1 nC
0.666 N/C

    Net electric field in the x direction.

    E = E,-E
0.666-0.28125
-0.385 N/C

    The x axis is where the point charges lie. The y component of the electric field is therefore zero.

    E, 0N/C
Ans:

    x and y components of electric field is, 0.385 N/C,0 N/C
.

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