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NCERT Class XII Chapter
Electrostatic Potential and Capacitance
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Question : 32
Total: 37
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 μC. Determine the capacitance of the system and the potential of the inner cylinder. Neglect end effects (i.e. bending of the field lines at the ends).
Solution:  
Capacitance of cylindrical capacitor is
C =
2πε0L
2.303log10
b
a
 =
2×15×10−2
9×109×2.303×log10
1.5
1.4
 or C = 1.21 × 10−10 F
Electric potential of the inner cylinder is
V =
Q
C
 =
3.5×10−6C
1.21×10−10F
 or V = 2.89 × 104 V
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