Question

A cylindrical capacitor has two co-axial
cylinders of length 15 cm and radii 1.5 cm
and 1.4 cm. The outer cylinder is earthed and
the inner cylinder is given a charge of 3.5 uc.
Determine the capacitance of the system and
the potential of the inner cylinder. Neglect the
effects (i.e. bending of field lines at the ends).
​

Answer 1

Answer:

Length of a co-axial cylinder, l=15cm=0.15m

Radius of outer cylinder, r

1

=1.5cm=0.015m

Radius of inner cylinder, r

2

=1.4cm=0.014m

Charge on the inner cylinder, q= 3.5 µC

Capacitance of coaxial cylinder,

C=

ln(r

1

/r

2

)

2πε

o

l

=1.2×10

−10

F

Potential of the inner cylinder is given by,

V=

C

q

=2.92×10

4

V

Explanation:

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