Answer:
Part 1: The value of x component of electric field at point P is
Part 2: The value of y component of electric field at point P is 0.
Part 3: The value of x component of electric field at point R is 0.
Part 4: The value of y component of electric field at point R is .
Part 5: The value of surface density at the outer edge of the shell is .
Part 6: None ,The field is treated as if it is a single point charge outside the conducting wall and there after extends to infinity diminishing by a rate of .
Part 7:The fields are equal as the charge on the outer shell does not affect the field on within the shell. ()
Explanation:
Part 1
As
is the Electric field of a point charge
From given data
is point charge at the center
is net charge of the conducting shell
m is inner radius of the conducting shell
m is outer radius of the conducting shell
m is the location of P on x
So the value is given as
The value of x component of electric field at point P is
Part 2
As
is the Electric field of a point charge
From given data
is point charge at the center
is net charge of the conducting shell
m is inner radius of the conducting shell
m is outer radius of the conducting shell
m is the location of P on y
So the value is given as
The value of y component of electric field at point P is 0.
Part 3
As
is the Electric field of a point charge
From given data
is point charge at the center
is net charge of the conducting shell
m is inner radius of the conducting shell
m is outer radius of the conducting shell
m is the location of R on x
So the value is given as
The value of x component of electric field at point R is 0.
Part 4
As
is the Electric field of a point charge
From given data
is point charge at the center
is net charge of the conducting shell
m is inner radius of the conducting shell
m is outer radius of the conducting shell
m is the location of R on y
So the value is given as
The value of y component of electric field at point R is .
Part 5
As
is the Surface charge density
From given data
is point charge at the center
is net charge of the conducting shell
m is inner radius of the conducting shell
m is outer radius of the conducting shell
So the value is given as
The value of surface density at the outer edge of the shell is .
Part 6
<em>None because the field is treated as if it is a single point charge outside the conducting wall and there after extends to infinity diminishing by a rate of </em>.
Part 7
<em>The fields are equal as the charge on the outer shell does not affect the field on within the shell. (</em>)