# 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
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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 ______________ .

#### Options

• increase

• decrease

• remain unchanged

#### 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