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A single conducting loop of wire has an area of 8.0×10−2 m2 and a resistance of 110 Ω . Perpendicular to the plane of the loop is a magnetic field of strength 0.40 T .
Part A
At what rate (in T/s) must this field change if the induced current in the loop is to be 0.26 A ? Express your answer using two significant figures.

Respuesta :

Explanation:

It is given that,

Area of the loop, [tex]A=8\times 10^{-2}\ m^2[/tex]

Resistance, [tex]R=110\ \Omega[/tex]

Induced current, I = 0.26 A

We know that emf is given by :

[tex]E=A.\dfrac{dB}{dt}[/tex]

From Ohm's law, E = IR

[tex]IR=A.\dfrac{dB}{dt}[/tex]        

[tex]\dfrac{dB}{dt}=\dfrac{IR}{A}[/tex]

[tex]\dfrac{dB}{dt}=\dfrac{0.26\ A\times 110\ \Omega}{8\times 10^{-2}\ m^2}[/tex]

[tex]\dfrac{dB}{dt}=357.5\ T/s[/tex]

So, field is changing at the rate of 357.5 T/s. Hence, this is the required solution.

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