Exercise 23.32 A very long insulating cylinder of charge of radius 2.40cm carrie
ID: 1394520 • Letter: E
Question
Exercise 23.32
A very long insulating cylinder of charge of radius 2.40cm carries a uniform linear density of 18.0nC/m .
i tried 6900 cm and140cm 1.4cm and1.3cm
Part A
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 195V ?
Exercise 23.32
A very long insulating cylinder of charge of radius 2.40cm carries a uniform linear density of 18.0nC/m .
i tried 6900 cm and140cm 1.4cm and1.3cm
Part A
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 195V ?
Explanation / Answer
E = -dV/dr
dV = -E*dr
dV = -(2*k*lamda/r)*dr
do integration both sides
v2 - V1 = inegral -(2*k*lamda/r)*dr
= -2*k*lamda*ln(r)
-195 = -2*k*lamda*ln*(r2 - r1)
ln(r2 - r1) = 195/(2*10^9*18*10^-9)
ln(r2 - 0.024) = 5.417
r2 - 0.024 = e^5.417
r2 = 0.024 + e^(5.417)
= 225.5 m <<<<<<------------Answer
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.