Question

A very long insulating cylinder of charge of radius 2.90 cm cm carries a uniform linear density of 17.0 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 VV?

Express your answer in centimeters.

Answer 1

Potential difference, dV = (lambda/2 pi e0) ln(rb/ra)

ln(rb/ra) = (2 pi e0) dV/lambda

rb = ra e^{(2 pi e0) dV/lambda}

rb = 2.9 e^{(2 pi x 8.85 x 10^-12 x 175)/(17 x 10^-9)}

^{rb = 5.14 cm}

^{Distance, x = 5.14 - 2.9 = 2.24 cm}

^{Comment in case any doubt please rate my answer....}