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TS EAMCET · Physics · Current Electricity

The resistance of a device component decreases as the current through it increases and it is described by the relation, \(R=\frac{0.2 I}{I-4}\), where \(I\) is the current. Determined the minimum power deliver. (Assume, \(I>4\) )

  1. A \(22.4 \mathrm{~W}\)
  2. B \(18.6 \mathrm{~W}\)
  3. C \(19.8 \mathrm{~W}\)
  4. D \(21.6 \mathrm{~W}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(21.6 \mathrm{~W}\)

Step-by-step Solution

Detailed explanation

Given, resistance \(R\) of a device decreases as current, \(I\) increases by the relation, \(R=\frac{0.2 I}{I-4}\) \(\therefore\) Power of the electric device, \(P=I^2 R\) \(=I^2 \cdot \frac{0.2 I}{I-4}\) Power will be minimum, if…
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