A cylindrical capacitor consists of a solid inner conducting
core with radius 0.270cm
, surrounded by an outer hollow conducting tube. The two conductors
are separated by air, and the length of the cylinder is
14.0cm
. The capacitance is 37.5pFpart
part a) Calculate the outer radius of the hollow tube. in terms of cm
partb)
When
the capacitor is charged to 130V
, what is the charge per unit length ?
on the capacitor? in terms of C/m
When the capacitor is charged to 130V , what is the charge per unit length ? on the capacitor?
pp
Capacitance/unit length of a long cylinder is
C/L = (2??r??) / (ln (b/a))
b is radius of outside conductor
a is radius if inside conductor
?? is 8.8542e-12 F/m
?? is dielectric constant (vacuum = 1)
C = 37.5pF = (0.14)(2?*8.85e-12) / (ln (b/a))
ln (b/a) = 0.2075
b/a = 1.23
b = 1.23x0.27 = 0.3321 cm
b)
Second half, use Q = CV
Q = 37.5 x 10^-12 x 130 = 4.875 x 10^-9 C
Charge per unit length ? = (4.875 x 10^-9 C)/0.14 = 3.48 x10^-18 C/cm
A cylindrical capacitor consists of a solid inner conducting core with radius 0.270cm , surrounded by...
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