(a) Three charges each with magnitude Q are placed at the corners X, Y and Z of a square as shown in the figure below.

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Electric field

(a) Three charges each with magnitude Q are placed at the corners X, Y and Z of a
square as shown in the figure below.
-Q
+Q
a
al
a
XI_-
+Q
Using vector analysis and diagram(s) or otherwise, determine the magnitude and
direction of the resultant electric field strength at point P.
(b) An insulated metal sphere of radius 0.10 m is given a charge. The work done to
bring a small charge from a distant point to a point 0.50 m from the centre of the
charged sphere is W, and at this final position, the force on the small charge is F.
If the small charge is only brought to a distance of 1.0 m from the centre of the
charged sphere, find
(i) the magnitude of the work done, in term of W, at its final position.
(ii) the force on the small charge, in term of F, at its final position.
N
Transcribed Image Text:(a) Three charges each with magnitude Q are placed at the corners X, Y and Z of a square as shown in the figure below. -Q +Q a al a XI_- +Q Using vector analysis and diagram(s) or otherwise, determine the magnitude and direction of the resultant electric field strength at point P. (b) An insulated metal sphere of radius 0.10 m is given a charge. The work done to bring a small charge from a distant point to a point 0.50 m from the centre of the charged sphere is W, and at this final position, the force on the small charge is F. If the small charge is only brought to a distance of 1.0 m from the centre of the charged sphere, find (i) the magnitude of the work done, in term of W, at its final position. (ii) the force on the small charge, in term of F, at its final position. N
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