Moderate

A wire of resistance R is bent into a square, and a battery is connected across one side. The equivalent resistance across adjacent corners is:

Correct answer: A. 3R/16

  • A. 3R/16
  • B. R/4
  • C. R/2
  • D. 3R/4

Explanation

The total resistance (R) of the wire is split into two parallel paths across adjacent corners: a short path of R/4 and a long path of 3R/4. 1/Req = 4/R + 4/3R = 12/3R + 4/3R = 16/3R. Req = 3R/16.

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About Current Electricity

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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