Moderate

If the length of the wire becomes two times its original value and the area becomes one-half its original value, then the resistance of the wire becomes:

Correct answer: B. Four times

  • A. Double
  • B. Four times
  • C. One half
  • D. One fourth

Explanation

Resistance is given by R = ρL/A. The new resistance R' will be R' = ρ(2L) / (A/2) = 4(ρL/A) = 4R. The resistance becomes four times larger.

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Steady current relates charge flow to potential difference, resistance and resistivity, including how temperature changes a conductor's resistance. Sources with internal resistance have terminal voltage below their emf when delivering current, and maximum power output occurs under a specific load condition rather than at zero resistance.

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