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A very long insulating cylinder of charge of radius 2.50

Chapter 23, Problem 32E

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QUESTION:

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?

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QUESTION:

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?

ANSWER:

Solution 32E Step 1 of 4: A very long cylinder of charge of radius r = 2.5 cmcarries uniform linear charge density a = 15 nC/m. When the probe of the voltmeter are kept one at the surface (r ) and the a other at the distance r , tbe voltmeter reads V = 175 V . Here we need to calculate the distance of second probe r to achieve given voltmeter reading from the center and as b well as from the surface( r ) , by considering the long cylinder of charge as the infinite long wire. Given data, 9 linear charge density = 15 × 10 C/m Voltage reading on voltmeter, V = 175 V Distance of one probe, which is at the surface, r = 0.02a m To find, Distance of the second probe from the center, r = b Distance of the second probe from the surface, r =

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