259.In Fig.90, the very thin rectangular metal plate with sides 2a=80 cm and 2b-60 cm, has auniform surface charge density of G-8 10-10 C/m². Find the electric potential in the center ofthe rectangular plate. (k=9.109 Nm²/C²)a) 13,5 Vb) 14,5 Vc) 15,5 V2ad) 16,5 VFig.90e) 17,5 V2b

Answered: 259.In Fig 90, the very thin…

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259.In Fig.90, the very thin rectangular metal plate with sides 2a=80 cm and 2b-60 cm, has a
uniform surface charge density of G-8 10-10 C/m². Find the electric potential in the center of
the rectangular plate. (k=9.109 Nm²/C²)
a) 13,5 V
b) 14,5 V
c) 15,5 V
2a
d) 16,5 V
Fig.90
e) 17,5 V
2b

Expert Solution

Step 1: Given that

A very thin rectangular plate with sides

2a = 80cm then a = 40cm = 40x10^-2m = 0.40m

2b = 60cm then b = 30cm= 30x10^-2m = 0.30m

Plate has a uniform surface charge density $open parentheses sigma close parentheses equals 8 cross times 10 to the power of negative 10 end exponent C divided by m squared$

The constant k = $9 cross times 10 to the power of 9 N. m squared divided by C squared$

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