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A flat coil of wire consisting of 16 turns, each with an area of 50 cm2, is positioned perpendicularly to a uniform magnetic field that increases its magnitude at a constant rate from 2 T to 7 T in 2.0 s. What is the magnitude of the emf (in Volts) induced in the coil? Your answer should be a number with two decimal places, do not include the unit.

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4 votes

Answer:

The value is
\epsilon  =  0.2 V

Step-by-step explanation:

From the question we are told that

The number of N = 16 turns

The area is
A =  50cm^2  =  (50)/(10000) =0.005 \ m^2

The initial magnetic field is
B_i  =  2 T

The final magnetic field is
B_f  =  7 T

The time taken is
\Delta t  =  2.0 \  s

Generally the magnitude of the emf is mathematically represented as


\epsilon  =  ( N A  (B_f - B_i ))/(\Delta t )

=>
\epsilon  =  (  16*  0.005 (7- 2 ))/(2.0  )

=>
\epsilon  =  0.2 V

User Mluker
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