Refer to interactive solution 19.37 to review a method by which this problem can

Question

Refer to interactive solution 19.37 to review a method by which this problem can be solved. The electric field has a constant value of 2.9 times 10^3 V/m and is directed downward. The field is the same everywhere. The potential at a point P within this region is 131 v. Find the potential at the following points: (a) 9.3 times 10^-3 m directly above p, (b) 3.2 times 10^-3 m directly below p, (c) 7.4 times 10^-3 m directly to the right of p. (a) Number Units (b) Number Units (c) Number Units (d) Number Units

Explanation / Answer

E= 2.9*10^3 v/m

V=131 V

E=v/d == d =V/E =131/2900=0.04517.

1)9.3*10^-3 m directly above P,

when dd becomes 0.04517-0.0093 =0.03587 m. V =Ed= 2900*0.03587=104.023 V

2)3.2*10^-3 m directly downward P,

when d becomes 0.04517+0.0032 = 0.04837m V=Ed = 2900*0.04837 = 140.273 V

3) 7.4*10^-3 m directly to the right of P,

when d becomes (sqrt(0.04517^2+0.0074^2)) = 0.04577m = V = Ed = 2900*0.04577 = 132.739 V

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