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Solid Angle : |
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The concept of solid angle is a natural extension of a plane angle to three dimensions. Consider an area element dS at a distance from a point P. Let be the unit vector along the outward normal to . |
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The element of the solid angle subtended by the area element at P is defined as |
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where is the projection of along a direction perpendicular to . If is the angle between and , then, |
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Solid angle is dimensionless. However, for practical reasons it is measured in terms of a unit called steradian (much like the way a planar angle is measured in terms of degrees). |
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The maximum possible value of solid angle is , which is the angle subtended by an area which encloses the point P completely. |
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Example |
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Exercise |
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Example 3 |
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Example 4 |
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Example 5 |
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Example 6 |