please solve 8 and 9 Potential vs Position -Electric Field Comparison Task Impor

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please solve 8 and 9

Potential vs Position -Electric Field Comparison Task Important concepts: A graph is shown of the electric potential as a function of position in a given region of space. The labeled points are 6 locations within this region. Is the magnitude of the electric field : At A greater than, less than, or equal to the magnitude of the field at B - explain. At A greater than, less than, or equal to the magnitude of the field at E - explain. At A greater than, less than, or equal to the magnitude of the field at C - explain. At D greater than, less than, or equal to the magnitude of the field at F - explain. A spherical conducting shell has a radius of 200 cm and a charge of +300 nC. 5 locations are indicated. Rank the electric potential at each location: Greatest 1 2 3 4 5 Least Or - the electric potential is the same (but not zero) for all these points Or - the electric potential is zero for all these points Or - the ranking of the potential cannot be determined Be prepared to explain your reasoning!

Explanation / Answer

Q9. Spherical conducting shell

Given that :

radius of shell, r = 200 cm = 2 m

charge, Q = 300 x 10-9 C

using a formula, we have

V = ke Q / d

At point A ;            VA = (9 x 109 Nm2/C2) (300 x 10-9 C) / [(2 m) - (0.5 m)] = 1800 V

At point B ;            VB = (9 x 109 Nm2/C2) (300 x 10-9 C) / [(2 m) - (1 m)] = 2700 V

At point C ;            VC = (9 x 109 Nm2/C2) (300 x 10-9 C) / [(2 m) - (1.5 m)] = 5400 V

At point D ;            VD = (9 x 109 Nm2/C2) (300 x 10-9 C) / [(2 m) + (2.5 m)] = 600 V

At point E ;            VE = (9 x 109 Nm2/C2) (300 x 10-9 C) / [(2 m) + (5 m)] = 540 V

Rank the electric potential at each location from greatest to least which is given as :

VC > VB > VA > VD > VE

Or the electric potential is the same (but not zero) for all these points   No

Or the electric potential is zero for all these points   No

Or the ranking of the potential cannot be determined No

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