Magnitude of the electric field created by changing magnetic field at radial distance r = 0.20 m from the magnetic field center?
A uniform magnetic field pointing in the positive z direction fills a cylindrical volume of space of radius R whose central axis is the z axis. Outside this region, there is no magnetic field. In (Figure 1) R = 0.27 m and the magnetic field magnitude is decreasing at a rate of 0.30 T/s . What is the magnitude of the electric field created by this changing magnetic field at radial distance r = 0.20 m from the magnetic field center?
- Anonymous8 months agoFavorite Answer
E 2 π r = - dΦ(B)/dt
E = - [1 / (2 π r)] dΦ(B)/dt
B = Bo - k t
dΦ(B)/dt = π r^2 dB/dt = - k π r^2
E = 1/2 k r
E = 0.5*0.3*0.2 = 3x10^-2 V/m