Midpoint and distance formula zombie worksheet
1 answer:
Consider two points in a two dimensional coordinate plane
As you know mid point of a line joining two points is the coordinate of the middle point of only that portion of line joining between two points.
[tex]\text { Mid point of } (x_{1},y_{1})\text { and } (x_{2},y_{2}) =(\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2})[/tex]
As we know distance formula gives the Distance between line joining two points in two dimensional coordinate system.It is always positive.
[tex]\text { Distance formula between two points } (x_{1},y_{1})\text { and } (x_{2},y_{2}) =\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
Distance formula gives the distance between two points, whereas Mid point formula gives coordinate of the middle point.
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Answer:
Required total charge is coulombs per square meter.
Step-by-step explanation:
Given electric charge is dristributed over the disk,
so that the charge density at (x,y) is,
To find total charge on the disk let Q be the total charge and so that,
where A is the surface of disk.
Hence total charge is coulombs per square meter.