1. Let Ē = 400åx – 300đ, + 500å, in the neighborhood of point P(6,2,-3). Find the incremental work done in moving a 5C charge a distance of 1mm in the direction specified by: a. dz + ây + ả, b. -2ӑx + Зӑу — ӑ, 2. If E = -xả, + yå, V/m, find the work involved in moving a unit positive charge on a circular arc, the circle at the origin, from x = a to x = y = a/V2. 3. Let V = 6xy²z3 +5 ln(x2 + y² + 3z?)V in free space. Evaluate each of the following quantities at P(2,3, -1), find: а. V b. E %3D c. |JË|| d. D e. ||D|| f. än
1. Let Ē = 400åx – 300đ, + 500å, in the neighborhood of point P(6,2,-3). Find the incremental work done in moving a 5C charge a distance of 1mm in the direction specified by: a. dz + ây + ả, b. -2ӑx + Зӑу — ӑ, 2. If E = -xả, + yå, V/m, find the work involved in moving a unit positive charge on a circular arc, the circle at the origin, from x = a to x = y = a/V2. 3. Let V = 6xy²z3 +5 ln(x2 + y² + 3z?)V in free space. Evaluate each of the following quantities at P(2,3, -1), find: а. V b. E %3D c. |JË|| d. D e. ||D|| f. än
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Transcribed Image Text:1. Let E = 400ảy – 300đy + 500ả, in the neighborhood of point P(6,2,-3). Find
the incremental work done in moving a 5C charge a distance of 1mm in
the direction specified by:
a. dx + ảy + đ,
b. — 2ӑx + Зау — ӑ,
2. If E = -xảx + yã, V/m, find the work involved in moving a unit positive
charge on a circular arc, the circle at the origin, from x = a to x = y =
a/V2.
3. Let V = 6xy²z3 + 5 In(x2 + y2 + 3z2)V in free space. Evaluate each of the
following quantities at P(2,3, -1), find:
а. V
b. Е
c. |JE||
d. D
e. ||D||
f. ån
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