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A 1.0-ton split air conditioner (AC) operates at 220 V and uses 1090 W. The resistance of the air conditioner will be

Correct answer: A. 20.18 Ω.

  • A. 20.18 Ω.
  • B. 44.40 Ω.
  • C. 870.0 Ω.
  • D. 1310.0 Ω.

Explanation

The correct answer is 20.18 Ω. To find the resistance of the air conditioner, we use the formula Resistance = Voltage^2 / Power. Plugging in the values (220^2) / 1090 gives us 20.18 Ω. The other options are incorrect because they either have incorrect calculations or significantly deviate from the expected resistance value.

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About Resistance and Resistivity

Resistance measures opposition to current in a conductor and follows R = V/I for an ohmic conductor, while resistivity is an intrinsic property of the material. Questions use R = ρL/A, examine effects of length, cross-sectional area and temperature, and distinguish resistance, resistivity, conductance and conductivity.

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