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Find the vector which describes the direction in which is increasing most rapidly at?

User Muthu R
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Final answer:

The Poynting vector represents the direction of energy flow and is perpendicular to both the electric and magnetic fields, which are induced by an increasing voltage in a capacitor.

Step-by-step explanation:

The question involves the concept of fields and their behavior with respect to changing conditions such as an increasing voltage over time inside a capacitor. According to electromagnetic theory, as voltage V(t) across the capacitor plates increases, the electric field inside the capacitor also increases in the direction from the positive to the negative plate. Simultaneously, a changing electric field induces a magnetic field at the edge of the region between the plates, which curls around the edge following the right-hand rule.

The direction of the Poynting vector, S, is perpendicular to both the electric and the magnetic fields and points in the direction in which energy is flowing, which by convention is radially outward from the axis between the capacitor's plates when observing from the positive plate towards the negative plate.

User Omaha
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