Respuesta :
A uniform magnetic field is perpendicular to the plane of a circular loop. The rate must the magnitude of change to induce a 10 A current in the loop.
What is uniform magnetic field?
The magnetic field which doesn't change with respect to time is called the uniform magnetic field.
The resistance of the loop is related to the length of the wire as
R=ρ L/ A
Diameter of wire is 10 cm formed from wire of diameter 2.5 mm and resistivity is 1.69×10⁻⁸ Ω⋅m.
Substituting the values into the above equation, we get
R = {(1.69×10−8Ω⋅m) × π(0.10m)} / {π(2.5×10−3m)2/4}
R =1.1×10−3Ω
Current is related to emf as
i=∣ε∣/R
=∣dΦB/dt∣ / R
=(πl2/R) ∣ dB/dt ∣.
Substituting the given values from the question, we have rate of change of magnetic field
∣dB / dt∣ = πr2iR
∣dB / dt∣ = π(0.05m)2(10A)(1.1×10−3Ω)
∣dB / dt∣ =1.4T/s
Therefore, the rate must the magnitude of change to induce a 10 A current in the loop is 1.4T/s.
Learn more about magnetic field.
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