Find the electric field at the origin, point O. Give the x and y components of…
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Question “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.
Answer
Answer 1
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
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.
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.
,
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.
Distance between the origin and the charge 1.
Substitute these values
Distance between charge 2 and origin
Substitute these values
Substitute
to get
,
to get
, and 16 m to get
Substitute
with
, and
with
. 9 m is for
. This will give you the x component in the electric field caused by the charge 2 at O.
Net electric field in the x direction.
The x axis is where the point charges lie. The y component of the electric field is therefore zero.
Ans:
.
Conclusion
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Find the electric field at the
