A loop of wire with radius r= 0.183 m is in a magnetic field of magnitude B as shown in the figure. The magnetic field is perpendicular to the plane of the loop. B changes from B1= 0.22 T to B2= 7.5 T in Δt = 7.5 s at a constant rate. (a) Express the magnetic flux Φ going through a loop of radius r assuming a constant magnetic field B. (b) Express the change in the magnetic flux going through this loop, ΔΦ, in terms of B1, B2 and r. (c) Express the magnitude of the average induced electric field, E, induced in the loop in terms of ΔΦ, r and Δt.

Principles of Physics: A Calculus-Based Text
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Chapter23: Faraday’s Law And Inductance
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 A loop of wire with radius r= 0.183 m is in a magnetic field of magnitude B as shown in the figure. The magnetic field is perpendicular to the plane of the loop. B changes from B1= 0.22 T to B2= 7.5 T in Δt = 7.5 s at a constant rate.

(a)  Express the magnetic flux Φ going through a loop of radius r assuming a constant magnetic field B. 

(b)  Express the change in the magnetic flux going through this loop, ΔΦ, in terms of B1, B2 and r. 

(c) Express the magnitude of the average induced electric field, E, induced in the loop in terms of ΔΦ, r and Δt. 

 
 
 
 
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