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COMEDK · Physics · 19. Current Electricity

A \(500 \mathrm{~W}\) heating unit is designed to operate on a \(400 \mathrm{~V}\) line. If line voltage drops to \(160 \mathrm{~V}\), the percentage drop in heat output will be:

  1. A 74%
  2. B 84%
  3. C 75%
  4. D 85%
Verified Solution

Answer & Solution

Correct Answer

(B) 84%

Step-by-step Solution

Detailed explanation

The power \(P\) consumed by a heating unit is given by the formula \(P = \dfrac{V^2}{R}\), where \(V\) is the voltage and \(R\) is the resistance of the heating element. Since the resistance \(R\) is constant, the power is proportional to the square of the voltage,…