Induced Voltage

x2+y2=t2\Large{x^{2}+y^{2} = t^{2}}

A conducting loop in the xyxy-plane takes the form of the curve given above. The parameter tt denotes time. Suppose that there is a uniform magnetic flux density BB which is normal to the xyxy-plane.

If the magnitude of the voltage induced in the loop at time t=2t = 2 can be expressed as απB\alpha \pi B, determine the value of α\alpha.

Details and Assumptions:

  • Neglect units and assume that all physical expressions take their simplest forms.

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