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We use the electromagnetic stress tensor to describe the elongation ofparamagnetic drops in uniform magnetic fields. This approach implies a linearrelationship between the shape of the drops and the square of the applied fieldwhich we confirm experimentally. We show that this effect scales with thevolume and susceptibility of the drops. By using this unified electromagneticapproach, we highlight the potential applications of combining electric andmagnetic techniques for controlled shaping of drops in liquid displays, liquidlenses, and chemical mixing of drops in microfluidics.

Field-induced shaping of sessile paramagnetic drops