A detector measures a positron moving through an electromagnetic field along a path given by r...

 

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A detector measures a positron moving through an electromagnetic field along a path given by r = √(x − 1)² + (y + 2)² . Here, x and y correspond to the particle's location, (x, y), and r the distance from the detector. The field strength is governed by the equation y + 2x = 0. Find the minimum distance from the detector that the positron achieves. A detector measures a positron moving through an electromagnetic field along a path given by r = √(x − 1)² + (y + 2)² . Here, x and y correspond to the particle's location, (x, y), and r the distance from the detector. The field strength is governed by the equation y + 2x = 0. Find the minimum distance from the detector that the positron achieves.