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2 years ago

How many turns should a coil wrapped around the outside of the solenoid have so that the emf induced in the coil is 15 V

Physics

1 answer:

Temka [501]2 years ago

6 0

The number of turns a coil wrapped around the outside of the solenoid should have is : 127 turns

Given data :

Diameter of solenoid = 25-cm

Rate of increase of magnetic field = 2.4 T/s

Induced emf = 15 v

<h3>Determine the number of turns of the coil</h3>

Induced emf = N ( dФ / dt ) ---- ( 1 )

where : ( dФ / dt ) = ( A (db/dt) )

Equation ( 1 ) becomes

Induced emf = N A ( db/dt ) ------ (2)

From equation ( 2 )

N = Induced emf / A ( db/dt ) ------ ( 3 )

where : Induced emf = 15 v . db/dt = 2.4 T/s , A = area of solenoid

Area of solenoid = πr² = π * ( 0.125 )²

Insert values into equation ( 3 )

N = 15 / ( π * ( 0.125 )² ) * 2.4

= 127.32 ≈ 127 turns

Hence we can conclude that The number of turns a coil wrapped around the outside of the solenoid should have is : 127 turns.

Learn more about solenoid : brainly.com/question/25562052

Below is the missing part of the question

The magnetic field inside a 25-cm-diameter solenoid is increasing at 2.4 T/s

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