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AP EAMCET · PHYSICS · Current Electricity

A heating element is designed to dissipate \(2400 \mathrm{~W}\) when connected to \(240 \mathrm{~V}\). The power it dissipates when it is connected to \(120 \mathrm{~V}\) is (Assume that resistance of the filament is constant)

  1. A \(600 \mathrm{~W}\)
  2. B \(1200 \mathrm{~W}\)
  3. C \(1800 \mathrm{~W}\)
  4. D \(400 \mathrm{~W}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(600 \mathrm{~W}\)

Step-by-step Solution

Detailed explanation

Given, Rated power, \(P_R=2400 \mathrm{~W}\) Rated voltage, \(V_R=240 \mathrm{~V}\) So, resistance of element, \(R=\frac{V_R^2}{P_R} \quad\left(\because P=\frac{V^2}{R}\right)\) \(=\frac{240 \times 240}{2400}=24 \Omega\) when element is connected across \(120 \mathrm{~V}\)…