A sphere of radius R = 4 cm is filled with an electric field which points everywhere in the z direction, which defines the axis of the sphere. While the direction is constant, the magnitude of the field is zero on the axis and increases linearly with distance from the axis, varying as E = A r, where A is constant. When the magnitude of the electric field changes rapidly in time, a magnetic field with a magnitude of B = 0.50 x 10-10 T is measured at a point outside of the sphere which lies in the equatorial plane of the sphere (perpendicular to the z-axis) at a distance of 14 cm from the center of the sphere. If the sphere is replaced by a new sphere which has twice the volume of the original, but nothing else is changed, at what distance from the axis will we now measure the same 0.5 x 10-10 T magnetic field strength in the equatorial plane of the sphere? i cm
A sphere of radius R = 4 cm is filled with an electric field which points everywhere in the z direction, which defines the axis of the sphere. While the direction is constant, the magnitude of the field is zero on the axis and increases linearly with distance from the axis, varying as E = A r, where A is constant. When the magnitude of the electric field changes rapidly in time, a magnetic field with a magnitude of B = 0.50 x 10-10 T is measured at a point outside of the sphere which lies in the equatorial plane of the sphere (perpendicular to the z-axis) at a distance of 14 cm from the center of the sphere. If the sphere is replaced by a new sphere which has twice the volume of the original, but nothing else is changed, at what distance from the axis will we now measure the same 0.5 x 10-10 T magnetic field strength in the equatorial plane of the sphere? i cm
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Transcribed Image Text:32.2 Induced Magnetic Fields
A sphere of radius R = 4 cm is filled with an electric field which points everywhere in the z direction, which defines the axis of the
sphere. While the direction is constant, the magnitude of the field is zero on the axis and increases linearly with distance from the axis,
varying as E = Ar, where A is constant. When the magnitude of the electric field changes rapidly in time, a magnetic field with a
magnitude of B = 0.50 x 10-10 T is measured at a point outside of the sphere which lies in the equatorial plane of the sphere
(perpendicular to the z-axis) at a distance of 14 cm from the center of the sphere. If the sphere is replaced by a new sphere which has
twice the volume of the original, but nothing else is changed, at what distance from the axis will we now measure the same 0.5 x 10-10
T magnetic field strength in the equatorial plane of the sphere? i
cm
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