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Cerrena [4.2K]
2 years ago
11

A 170.4-turn circular loop of radius 0.08 meters with a magnetic field B passing through the area bounded by the loop at right a

ngles has an Emf of 0.050 Volts induced around the loop by the rising magnetic field. How fast is the magnetic field rising in tesla per second
Physics
1 answer:
jolli1 [7]2 years ago
8 0

Answer:

The speed of the magnetic field rising is   \frac{\Delta B}{\Delta t}  =0.0147 \ T/s

Explanation:

Mathematically Induced Emf is as follows

             e = - \frac{\Delta B}{\Delta t} *N * Area

The objective of this solution is to obtain speed in Tesla per second which the same as \frac{\Delta B}{\Delta t} since the unit of magnetic field B is Tesla and Time is seconds

             So making  \frac{\Delta B}{\Delta t}  the subject

                          \frac{\Delta B}{\Delta t }  =\frac{Emf}{N*Area}

The \ Area = \pi r^2

               = 3.142 * (0.08)^2

              =0.020m

N is given as 170.4 turns

         Therefore  \  \frac{\Delta B}{\Delta t} = \frac{0.050}{170.4*0.02}

                                  =0.0147 \ T/s

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