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What is the electric field in a region of space where ex = -1000 x² V/m, where x is in meters?

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Final answer:

The electric field in a region of space where Ex = -1000x² V/m, where x is in meters, is given as Ex = -1000x² V/m.

Step-by-step explanation:

The electric field in a region of space where Ex = -1000x² V/m, where x is in meters, is given as Ex = -1000x² V/m.

This means that the electric field is directed along the x-axis and its magnitude depends on the square of the x-coordinate.

For example, if x = 2 meters, the electric field would be Ex = -1000(2)² V/m = -4000 V/m.

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