If a hollow sphere of radius R is charged with one unit of static electricity, then the field intensity E (x) at a point P located x units from the center of the sphere satisfies: 0 1 if 0 < x < R if x = R E(x) = 2x² 1 x² Sketch the graph of E(x). Is E(x) continuous for x > 0? if x > R

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If a hollow sphere of radius R is charged with one unit of static
electricity, then the field intensity E (x) at a point P located x units from
the center of the sphere satisfies:
if 0<x < R
if
2x2
1
x = R
E(x) =
if
x > R
x²
Sketch the graph of E(x). Is E(x) continuous for x > 0?
Transcribed Image Text:If a hollow sphere of radius R is charged with one unit of static electricity, then the field intensity E (x) at a point P located x units from the center of the sphere satisfies: if 0<x < R if 2x2 1 x = R E(x) = if x > R x² Sketch the graph of E(x). Is E(x) continuous for x > 0?
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