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If a resistor having resistance 'R' is cut into three equal parts, then theequivalent of parallel combination is:

Correct answer: C. . R/9

  • A. 6/R
  • B. 3/R
  • C. . R/9
  • D. R/3

Explanation

Since wire with resistance R is cut in 3 equal parts therefore each part will have resistance R/3. Using: 1 𝑅 𝑇 = 1 𝑅 1 + 1 𝑅 2 +... 1 𝑅 𝑛 When we input R/3 as R1 , R2 and R3 we get the answer as RT = R/9.The original resistor is cut into three equal parts, so each part has a resistance of R/3.Now, we can calculate the equivalent resistance of the three parts in parallel:1/Req = 1/(R/3) + 1/(R/3) + 1/(R/3) = 3/R + 3/R + 3/R = 9/RTaking the reciprocal of both sides:Req = R/9

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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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