If the resistance of a conductor is doubled while the current remains the same, how will the heat produced per unit time change?

Correct option is D

Correct Answer: D) It will double.

Explanation:
The heat produced in a conductor due to electrical resistance is given by Joule's law of heating:

​$$H = I^2 R t$$​​

where:

• H = Heat energy produced
• I = Current
• R = Resistance
• t= Time

The heat produced per unit time (power dissipation) is given by:

​$$P = I^2 R$$​​

• If the resistance (R) is doubled while the current (I) remains the same, the power dissipation equation becomes:

​$$P' = I^2 (2R) = 2 I^2 R$$​​

• This shows that the heat produced per unit time doubles when resistance is doubled, provided the current remains unchanged.

Information Booster:

• Joule’s Law of Heating states that heat generated is directly proportional to the square of current (I²), resistance (R), and time (t).
  
• Applications of Joule heating include electric heaters, fuses, filament bulbs, and induction heating.
  
• If resistance increases and current remains constant, the heat production increases.
  
• If current is doubled while resistance remains constant, the heat production becomes four times (4H4H4H).
  
• Power dissipation in electrical appliances must be considered to prevent overheating and damage.