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A 119-turn circular coil of radius 2.51 cm is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. Over an interval of 0.169 s, the magnetic field strength increases from 51.5 mT to 97.3 mT. Find the magnitude of the average emf induced in the coil during this time interval, in millivolts.

Answer :

The magnitude of the average EMF is E = 63.7 mV

Given is that there are 119 turns,

hence N= 119 .

The coil's radius is 2.51 cm

which is equal to r = 0.0251 m.

Time interval given is t=0.169 s

a rise in the magnetic field from 51.5 mT to 97.3 mT

Using the Faraday law of induction, the EMF of a magnetic field is calculated.

EMF = -NA∆B/∆t

The area of the coil circle is given by

Area = πr²

area = 3.14 × 0.0251 × 0.0251

area = 0.00197823 m²

area = 1.97823 × [tex]10^-^3[/tex] m²

Thus E = - 119 × 1.97823 × [tex]10^-^3[/tex] × ( 97.3 × [tex]10^-^3[/tex] - 51.5 × [tex]10^-^3[/tex]) / 0.169

E = 235.4 × [tex]10^-^3[/tex] ( 45.8 × [tex]10^-^3[/tex] ) / 0.169

E = 10781.32 × [tex]10^-^6[/tex] / 0.169

E = 63794.79 × [tex]10^-^6[/tex] V

E = 6.379479 × [tex]10^4[/tex] × [tex]10^-^6[/tex] × [tex]10^3[/tex]

E = 6.37 × 10

E = 63.7 mV

The magnitude is then equal to 63.7 millivolts (EMF).

To know more about EMF you may visit the link

https://brainly.com/question/15121836

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