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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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asked 2020-12-17

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?

Answers (1)

2020-12-18
Given number of turns in the coil is N = 1
Strength of the magnetic field is B = 1.7T emf is ? = 2.6V
We know the formula for the emf is
\(\displaystyle\epsilon{N}={\frac{{{d}}}{{{\left.{d}{t}\right.}}}}{\left({B}{A}\right)}={N}{B}{\frac{{{d}{A}}}{{{\left.{d}{t}\right.}}}}\)
\(\displaystyle{\frac{{{d}{A}}}{{{\left.{d}{t}\right.}}}}={\frac{{\epsilon}}{{{N}{B}}}}\)
Substitute the given values in the above equation we get thevalue of the rate of change of the area.
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