7. A point charge of 0.25 microcoulomb is located at r=0, and uniform surface charge densities are located as follows: 2 mC/ m² at r= 1 cm, and -0.6mC/ m² at r= 1.8 cm. Calculate D at a) r= 0.5 cm b) r= 1.5 cm) what uniform surface charge density should be established at r=3 cm to cause D= 0 at r= 3.5 cm? 8. Find The curl of the divergence of the grad given = 3x²y374 - 4x3y² + 2x3v72

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7. A point charge of 0.25 microcoulomb is located at r=0, and uniform surface charge densities
are located as follows: 2 mC/ m² at r= 1 cm, and -0.6mC/ m² at r= 1.8 cm. Calculate D at a) r=
0.5 cm b) r= 1.5 cm) what uniform surface charge density should be established at r=3 cm to
cause D= 0 at r= 3.5 cm?
8. Find The curl of the divergence of the grad given = 3x²y³z4 - 4x³y² + 2x³yz²
9. In each of the following parts, find a numerical value for div D at the point specified: a) D= (
2xyz-y²) ax + (x²z-2xy) ay + (x²y) az C/m² at Pa(2, 3, -1) b) D=2pz²sin² ap+pz²sin20 a + 2pz²sin²
az C/m² at P(p=2, 0=110, z= -1); c) D= 2rsin Ocos ar+rcos ecos de- rsin ao at P(r= 1.5, 0-30,
= 50)
Transcribed Image Text:7. A point charge of 0.25 microcoulomb is located at r=0, and uniform surface charge densities are located as follows: 2 mC/ m² at r= 1 cm, and -0.6mC/ m² at r= 1.8 cm. Calculate D at a) r= 0.5 cm b) r= 1.5 cm) what uniform surface charge density should be established at r=3 cm to cause D= 0 at r= 3.5 cm? 8. Find The curl of the divergence of the grad given = 3x²y³z4 - 4x³y² + 2x³yz² 9. In each of the following parts, find a numerical value for div D at the point specified: a) D= ( 2xyz-y²) ax + (x²z-2xy) ay + (x²y) az C/m² at Pa(2, 3, -1) b) D=2pz²sin² ap+pz²sin20 a + 2pz²sin² az C/m² at P(p=2, 0=110, z= -1); c) D= 2rsin Ocos ar+rcos ecos de- rsin ao at P(r= 1.5, 0-30, = 50)
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