A rod of length L on the y-axis has been non-uniformly charged with charge density given by 2 = ay where a has units of Cm and the total charge on the rod is Q. Answer the following questions as if you were being asked to find the electric field at the origin. Question 5 In general when we want to find the electric field from a continuous charge kdq distribution we start by setting up the general formula dE = . The first step is %3D to find dq for our particular situation. How would you write dq in terms of your chosen integration variable and other information given in the problem?

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In general when we want to find the electric field from a continuous charge
distribution we start by setting up the general formula dE =
kdq
. The first step is
72
to find dq for our particular situation. How would you write dq in terms of your
chosen integration variable and other information given in the problem?
a) dq = ay dy
%3D
Ob) dq = ()dy
Oo dq = ay'dx
%3D
O d) dq = Adx
Oel dq = ()dx
%3D
Calculate the magnitude of the electric field in N/cat the origin given the following:
a =5#C/m
d30.13m
L-6m
k = 9x10° Nm2
C2
%3D
Transcribed Image Text:In general when we want to find the electric field from a continuous charge distribution we start by setting up the general formula dE = kdq . The first step is 72 to find dq for our particular situation. How would you write dq in terms of your chosen integration variable and other information given in the problem? a) dq = ay dy %3D Ob) dq = ()dy Oo dq = ay'dx %3D O d) dq = Adx Oel dq = ()dx %3D Calculate the magnitude of the electric field in N/cat the origin given the following: a =5#C/m d30.13m L-6m k = 9x10° Nm2 C2 %3D
L
d.
A rod of length L on the y-axis has been non-uniformly charged with charge density
given by å = ay where a has units of C/m and the total charge on the rod is
Q. Answer the following questions as if you were being asked to find the electric
field at the origin.
Question 5
In general when we want to find the electric field from a continuous charge
kdq
The first step is
distribution we start by setting up the general formula dE =
to find dq for our particular situation. How would you write dq in terms of your
chosen integration variable and other information given in the problem?
%3D
O a) dq = ay dy
Transcribed Image Text:L d. A rod of length L on the y-axis has been non-uniformly charged with charge density given by å = ay where a has units of C/m and the total charge on the rod is Q. Answer the following questions as if you were being asked to find the electric field at the origin. Question 5 In general when we want to find the electric field from a continuous charge kdq The first step is distribution we start by setting up the general formula dE = to find dq for our particular situation. How would you write dq in terms of your chosen integration variable and other information given in the problem? %3D O a) dq = ay dy
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