Question

A conducting loop of wire of radius 3.60 cm and resistance 1.60 Î©, lies within a uniform magnetic field directed into the page, as shown in the figure above. At t = 0s, the magnetic field decreases exponentially so that B(t) = B0e^(-Î±t), where B0 = 5.00 T and Î± = 1.80 s^-1. The current induced in the loop creates a new magnetic field. What is the magnitude of this new induced magnetic field after time t = 5.00 s?

Name: a conducting loop of wire of radius 360 cm and resistance 160 lies within a uniform magnetic field directed into the page as shown in the figure above at t 0s the magnetic field decreases ex 04212
Uploaded: 2023-07-22T19:06:22-08:00
Duration: 2 min 14 s
Channel: Anand Jangid
Description: a conducting loop of wire of radius 360 cm and resistance 160 lies within a uniform magnetic field directed into the page as shown in the figure above at t 0s the magnetic field decreases ex 04212

          A conducting loop of wire of radius 3.60 cm and resistance 1.60 Î©, lies within a uniform magnetic field directed into the page, as shown in the figure above. At t = 0s, the magnetic field decreases exponentially so that B(t) = B0e^(-Î±t), where B0 = 5.00 T and Î± = 1.80 s^-1. The current induced in the loop creates a new magnetic field. What is the magnitude of this new induced magnetic field after time t = 5.00 s?

Added by Amy T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Anand Jangid

07/22/2023

Step 1

Since the magnetic field is decreasing, the magnetic flux through the loop is also decreasing. The magnetic flux through a loop of radius r and magnetic field B is given by: Φ = πr^2B Taking the derivative with respect to time, we get: dΦ/dt = πr^2dB/dt = Show more…

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A conducting loop of wire of radius 3.60 cm and resistance 1.60 Î©, lies within a uniform magnetic field directed into the page, as shown in the figure above. At t = 0s, the magnetic field decreases exponentially so that B(t) = B0e^(-Î±t), where B0 = 5.00 T and Î± = 1.80 s^-1. The current induced in the loop creates a new magnetic field. What is the magnitude of this new induced magnetic field after time t = 5.00 s?