The resistance of a uniform metallic conductor is __________.

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RRB ALP Electronics Mechanic 21 Jan 2019 Official Paper (Shift 1)
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  1. Inversely proportional to its length
  2. Directly proportional to its area 
  3. inversely proportional to its area.
  4. Inversely proportional to its electrical resistivity.

Answer (Detailed Solution Below)

Option 3 : inversely proportional to its area.
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Detailed Solution

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CONCEPT

  • Resistance: The property of any conductor that opposes the flow of electric current through it is called resistance.
    • It is denoted by R and the SI unit is the ohm (Ω).

The resistance is given by:

R = ρL/A

where ρ is resistivity, L is the length and A is the area of the cross-section. 

EXPLANATION:

From the above given- formula of the resistance:

  • The resistance of a uniform metallic conductor is inversely proportional to its area and directly proportional to length. So option 3 is correct.
  • ρ depends upon the material and the temperature.
  • The resistance of a uniform metallic conductor is dependent on length, area, and temperature also.
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