If in Figure P29.40 (R=0.25 mathrm{~m}) and the magnetic field magnitude is decreasing at a rate of

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If in Figure P29.40 \(R=0.25 \mathrm{~m}\) and the magnetic field magnitude is decreasing at a rate of \(0.30 \mathrm{~T} / \mathrm{s}\), what is the magnitude of the electric field created by this changing magnetic field \((a)\) at radial distance \(r=0.20 \mathrm{~m}\) from the magnetic field center and \((b)\) at \(r=0.50 \mathrm{~m}\) from the center? (c) Do the electric field lines encircle the \(z\) axis clockwise or counterclockwise, when viewed looking down the positive \(z\) axis toward the origin?

Data from Figure P29.40

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