Length of the cable is doubled, its capacitance C will be

(A) one-fourth.
(B) one-half.
(C) doubled.
(D) unchanged.

Answer: (C) doubled.

Explanation:
Assuming that the cable's geometry remains constant and only the length changes, the capacitance of the cable will also change. Specifically, the capacitance will increase by a factor of two.

This is because the capacitance of a cable is directly proportional to its length. The capacitance is given by the formula:

C = εA / d

where C is the capacitance, ε is the permittivity of the cable's insulation material, A is the cross-sectional area of the cable, and d is the distance between the two conductors of the cable.

Since the cross-sectional area and distance between the conductors remain constant when the length of the cable is doubled, the capacitance will increase proportionally to the length. Specifically, it will double when the length is doubled.


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