A time-dependent uniform magnetic field of magnitude B(t) is confined in a cylindrical region of radius R. A conducting rod of length 2D is placed in the region, as shown. Show that the magnitude of the emf between the ends of the rod is given by dB -D√R²-D² dt ε = 2D ® R B(t)
A time-dependent uniform magnetic field of magnitude B(t) is confined in a cylindrical region of radius R. A conducting rod of length 2D is placed in the region, as shown. Show that the magnitude of the emf between the ends of the rod is given by dB -D√R²-D² dt ε = 2D ® R B(t)
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Transcribed Image Text:A time-dependent uniform magnetic field of magnitude B (t) is confined in a cylindrical region
of radius R. A conducting rod of length 2D is placed in the region, as shown. Show that the
magnitude of the emf between the ends of the rod is given by
dB
ε = D√R²-D²
dt
P₁1
B(t)
2D
R
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