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# 17. A planar coil of wire has a single turn. Thenormal to this coil is parallel to a uniform and constant (in time)magnetic field of 1.7 T. An emf tha

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17. A planar coil of wire has a single turn. Thenormal to this coil is parallel to a uniform and constant (in time)magnetic field of 1.7 T. An emf that has a magnitude of 2.6 Vis induced in this coil because the coil's area A isshrinking. What is the magnitude of ? A/? t, whichis the rate (in $$m^2/s$$) at which the area changes?

$$\displaystyle\epsilon{N}={\frac{{{d}}}{{{\left.{d}{t}\right.}}}}{\left({B}{A}\right)}={N}{B}{\frac{{{d}{A}}}{{{\left.{d}{t}\right.}}}}$$
$$\displaystyle{\frac{{{d}{A}}}{{{\left.{d}{t}\right.}}}}={\frac{{\epsilon}}{{{N}{B}}}}$$