Electric charge resides on a spherical surface of radius a centred at the origin, with charge density specified in spherical polar coordinates by f(0, 0) = o sin(0) cos² (p), 0 where o is given in Cm-2. Determine the total amount of electric charge on the sphere and cross-check that the total charge that you derive is in the right units.

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Electric charge resides on a spherical surface of radius a centred at the origin, with
charge density specified in spherical polar coordinates by
f(0,0) = o sin(0) cos² (p),
where o is given in Cm-2. Determine the total amount of electric charge on the sphere
and cross-check that the total charge that you derive is in the right units.
Transcribed Image Text:Electric charge resides on a spherical surface of radius a centred at the origin, with charge density specified in spherical polar coordinates by f(0,0) = o sin(0) cos² (p), where o is given in Cm-2. Determine the total amount of electric charge on the sphere and cross-check that the total charge that you derive is in the right units.
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