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Sophie [7]
3 years ago
5

A flat coil is wrapped with 200 turns of very thin wire on a square frame with sides 18 cm long. A uniform magnetic field is app

lied perpendicular to the plane of the coil. If the field changes uniformly from 0.50 T to 0.00 T in 8.0 s, find the emf induced in the coil.
Physics
1 answer:
leva [86]3 years ago
6 0

Answer:

0.405 V

Explanation:

Using Faraday-Lenz law, the emf induced in the coil is given by

\epsilon=-\frac{\Delta \Phi}{\Delta t}

where

\Delta \Phi is the change in flux linkage through the coil

\Delta t = 8.0 s

is the time interval

The change in flux linkage can be written as

\Delta \phi = NA(B_f - B_i)

where

N = 200 is the number of turns

A=(18 cm)^2 = (0.18 m)^2=0.0324 m^2 is the area of the squared loop

Bi = 0.50 T is the initial magnetic flux density

Bf = 0.00 T is the final magnetic flux density

Substituting everything into the first equation, we find

\epsilon=-\frac{(200)(0.0324)(0.00-0.50}{8.0}=0.405 V

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