Question

Two equal charges Q are positioned at points (x=l,y=0 ) and (x=−l,y=0 ). Part A Determine the electric field as a function of y for points along the y axis. Express your answer in terms of of the variables Q , l , y , the unit vectors i^ and j^ , and appropriate constants. Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type E(y) = nothing Request Answer Part B Find where the field is a maximum. Express your answer in terms of the variables Q , l , and appropriate constants. If there is more than one answer, separate them by a comma. Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type y = nothing

          Two equal charges Q
 are positioned at points (x=l,y=0
) and (x=−l,y=0
).
Part A
Determine the electric field as a function of y
 for points along the y
 axis.
Express your answer in terms of of the variables Q
, l
, y
, the unit vectors i^
 and j^
, and appropriate constants.
Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type
E(y)
 =
nothing
Request Answer
Part B
Find where the field is a maximum.
Express your answer in terms of the variables Q
, l
, and appropriate constants. If there is more than one answer, separate them by a comma.
Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type
y
 =
nothing

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Added by Joseph G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Pritesh Ranjan

08/26/2021

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Part A: Determine the electric field as a function of \( y \) for points along the \( y \)-axis. ** Show more…

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Two equal charges Q are positioned at points (x=l,y=0 ) and (x=−l,y=0 ). Part A Determine the electric field as a function of y for points along the y axis. Express your answer in terms of of the variables Q , l , y , the unit vectors i^ and j^ , and appropriate constants. Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type E(y) = nothing Request Answer Part B Find where the field is a maximum. Express your answer in terms of the variables Q , l , and appropriate constants. If there is more than one answer, separate them by a comma. Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type y = nothing

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Transcript

00:02 So let's say we have a coordinate plane and here we have two charges and these two charges are having magnitude q and they are positioned at one let's say it is positioned at l0 and another q charge is positioned at minus l0.

00:24 So we need to find out the electric field at any point on the y -axis.

00:29 So let's say this is at y distance from the origin so it's this point will be zero by and here if we find out the electric field, so due to this charge, the electric field will be in this direction.

00:44 And due to this charge, electric field will be in this direction.

00:48 So the magnitude will be same because the charge and the separation is same.

00:51 So let us find out one electric field.

00:54 So that will be k, q by this separation squares.

00:59 So this is l and this is y.

01:01 So separation will be root of l square plus y square by using pythagoras root.

01:06 In this right angled triangle.

01:10 So this square will be l square plus y square.

01:14 So that is the electric field.

01:17 So this will also be e.

01:19 But due to symmetry here, this if we take it as theta, this also will be theta, and this also will be theta.

01:30 To find out the net electric field, let us project the electric fields.

01:34 So if you project this electric field, it be e sine theta in this direction and e cost theta in this direction...

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