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A Resistor of Resistance R is Connected to an Ideal Battery. If the Value of R is Decreased, the Power Dissipated in the Resistor Will - Physics

MCQ
Fill in the Blanks

A resistor of resistance R is connected to an ideal battery. If the value of R is decreased, the power dissipated in the resistor will ______________ .

Options

  • increase

  • decrease

  • remain unchanged

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Solution

increase

 

As the resistance is connected to an ideal battery, it provides a constant potential difference across the two terminals. The internal resistance of the battery is also zero.
The power dissipated in the resistor,

P = \[\frac{V^2}{R}\]

V is constant; hence V \[\propto \frac{1}{R^{}}\]

Thus, if the value of the resistance is decreased, the power dissipated in the resistor will increase.

Concept: Electrical Energy and Power
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APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 10 Electric Current in Conductors
MCQ | Q 6 | Page 196
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