23.32 A very long insulating cylinder of charge of radius 2.50 cm carries a uniform linear density of 15.0 nC/m. If you put one probe of a voltmeter at the surface, how far from the surface must the other probe be placed so that the voltmeter reads 175 V? HINT: In this problem, realize they want the distance from the surface of the cylinder to the point in space where the potential is the given value. They do not want the radial coordinate from the center of the cylinder to that point. Also, don’t forget to convert to meters. Finally, see the first equation in example 23.10 in the textbook. rb is the larger distance from the center of the wire to the field point and ra is the radius of the wire.
23.32 A very long insulating cylinder of charge of radius 2.50 cm carries a uniform linear density of 15.0 nC/m. If you put one probe of a voltmeter at the surface, how far from the surface must the other probe be placed so that the voltmeter reads 175 V?
HINT: In this problem, realize they want the distance from the surface of the cylinder to the point in space where the potential is the given value. They do not want the radial coordinate from the center of the cylinder to that point. Also, don’t forget to convert to meters. Finally, see the first equation in example 23.10 in the textbook. rb is the larger distance from the center of the wire to the field point and ra is the radius of the wire.
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