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Nostrana [21]
3 years ago
14

A continuous length of wire is made into 10 coaxial loops, located in the plane of this page. Each loop has a cross sectional ar

ea of 0.5 m2. A uniform time-varying magnetic field is directed into the page and its magnitude is given by B = 3T + (2T/s)*t. What is the induced potential difference in the loop and the direction of the induced current at t = 2.0 s?
Physics
1 answer:
AleksandrR [38]3 years ago
7 0

Answer:

e = 10 V

Explanation:

given,

number of the coaxial loops = 10

Cross sectional area =  0.5 m²

magnitude of magnetic field =

B = 3 T + (2 T/s)*t.

B = ( 3+ 2 t ) T

induced potential difference = ?

At time = 2 s

we know,

induced emf

e = - N\dfrac{d\phi}{dt}

∅ = B . A

e = - N\dfrac{d(BA)}{dt}

e = - NA\dfrac{dB}{dt}

e = - 10 \times 0.5 \times \dfrac{d}{dt}(3 + 2 t)

e = - 10 \times 0.5 \times 2

e = -10 V

magnitude of induced emf

|e| = |-10 V|

e = 10 V

the induced potential difference in the loop = e = 10 V

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From in the question:

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using 8.314 as constant

Then:

\mathsf{930 =  (1.90)(8.314)T_L In(2) (5.7 ^{0.67 }-1}})

\mathsf{930 = 15.7966\times 1.5315 (T_L )})

\mathsf{T_L= \dfrac{930 }{15.7966\times 1.5315}}

\mathbf{T_L \simeq = 39 \ K}

From T_H =  T_L (5.7)^{0.67}

\mathsf{T_H =  39 (5.7)^{0.67}}

\mathbf{T_H \simeq  125K}

5 0
3 years ago
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