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The resistance of a resistor is reduced to half its initial value. if other parameters of the electric circuit remain unaltered, the of amount of heat produced in the resistor will become?


A) four times
B) two times
C) half
D) one fourth?
Most Upvoted Answer
The resistance of a resistor is reduced to half its initial value. if ...

Effect of Halving the Resistance on Heat Produced in the Resistor

To understand how halving the resistance affects the heat produced in the resistor, we must consider the relationship between resistance, current, and power in an electric circuit.

Ohm's Law
According to Ohm's Law, the current passing through a resistor is directly proportional to the voltage across it and inversely proportional to the resistance. The formula for Ohm's Law is: V = IR, where V is the voltage, I is the current, and R is the resistance.

Power Dissipation
The power dissipated in a resistor can be calculated using the formula P = I^2R, where P is the power, I is the current, and R is the resistance. This formula shows that the power dissipated is directly proportional to the resistance.

Effect of Halving the Resistance
When the resistance of a resistor is halved, the current passing through it will double (since I = V/R). As a result, the power dissipated in the resistor will increase by a factor of 4 (since P = I^2R). This means that the amount of heat produced in the resistor will become four times its initial value.

Therefore, if the resistance of a resistor is reduced to half its initial value while keeping other parameters of the electric circuit constant, the amount of heat produced in the resistor will increase by a factor of four.
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The resistance of a resistor is reduced to half its initial value. if other parameters of the electric circuit remain unaltered, the of amount of heat produced in the resistor will become? A) four times B) two times C) half D) one fourth?
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