If current is doubled and potential difference is reduced to half, then _________.

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RRB Group D 13 Sept 2022 Shift 1 Official Paper
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  1. resistance will become one-fourth
  2. resistance will be doubled
  3. resistance will be halved
  4. resistance will become four times

Answer (Detailed Solution Below)

Option 1 : resistance will become one-fourth
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Detailed Solution

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The correct answer is Option 1. 

Key Points

  •  According to ohm's law Current (I) = Potential difference (V) / Resistance(R)
    • ​​​​​​If the potential difference is maintained constant and the resistance is changed - Current (I) is inversely proportinal to the reisistance (R)  I ∝ 1/R
    • So If current is doubled and potential difference is reduced to half, then resistance will become one-fourth.

Additional Information

  • Resistance:
    • It is defined as the hurdles in the path of flow of current.
    • The SI unit of resistance is the ohm.
    • It is denoted by the symbol Ω.
    • It depends on the material of the conductor and the dimensions of the conductor.
    • In other words, we can say it is the ratio of voltage to the current.
    • R= (rho×length)/area
    • Note: rho=Resistivity
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