A cylindrical surface shown in the figure below is defined by its radius R=8.1 cm and length h=67 cm. The positive direction of the normal to this surface is chosen as outward. As also shown in the figure, this surface is situated in the region of the uniform electric field of magnitude E=3.1 kN/C. E Αν B h (a) (b) E 00 (a) Find the flux (including its algebraic sign) of this electric field through the "left half" of the cylindrical surface defined by a cut-off through the shown points A, B, C, D in configuration (a), where the cylindrical axis is oriented vertically: Φ= ☐ N-m²/C. (b) Find now the flux of this field through the same half of the cylindrical surface in configuration (b), where the cylindrical axis is tilted "towards" the electric field direction by angle 0=30° from the vertical: Ф= N⚫m²/C.

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A cylindrical surface shown in the figure below is defined by its radius R=8.1 cm and length h=67 cm. The positive direction of the normal to this surface is chosen as outward. As also shown in the
figure, this surface is situated in the region of the uniform electric field of magnitude E=3.1 kN/C.
E
Αν
B
h
(a)
(b)
E
00
(a) Find the flux (including its algebraic sign) of this electric field through the "left half" of the cylindrical surface defined by a cut-off through the shown points A, B, C, D in configuration (a), where
the cylindrical axis is oriented vertically:
Φ=
☐ N-m²/C.
(b) Find now the flux of this field through the same half of the cylindrical surface in configuration (b), where the cylindrical axis is tilted "towards" the electric field direction by angle 0=30° from the
vertical:
Ф=
N⚫m²/C.
Transcribed Image Text:A cylindrical surface shown in the figure below is defined by its radius R=8.1 cm and length h=67 cm. The positive direction of the normal to this surface is chosen as outward. As also shown in the figure, this surface is situated in the region of the uniform electric field of magnitude E=3.1 kN/C. E Αν B h (a) (b) E 00 (a) Find the flux (including its algebraic sign) of this electric field through the "left half" of the cylindrical surface defined by a cut-off through the shown points A, B, C, D in configuration (a), where the cylindrical axis is oriented vertically: Φ= ☐ N-m²/C. (b) Find now the flux of this field through the same half of the cylindrical surface in configuration (b), where the cylindrical axis is tilted "towards" the electric field direction by angle 0=30° from the vertical: Ф= N⚫m²/C.
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