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Electricity and Magnetism
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If the resistance of a conductor is reduced to half, its thermal effect will be . . . . . . . .

Answer & Solution
Correct Answer: Option C
The thermal effect of current refers to the heat produced in a conductor when an electric current flows through it, and it is given by Joule’s Law of Heating.

According to Joule’s Law, the heat produced (H) in a conductor is given by the formula:

H = I² R t

where I = current, R = resistance, and t = time.

If the resistance of the conductor is reduced to half, and the potential difference (V) remains constant, the current changes according to Ohm’s law:

I = V / R

When R is halved, the current becomes double (I' = 2I).

Now, substituting in the heat equation:

H' = I'² × R' × t = (2I)² × (R/2) × t = 4I² × (R/2) × t = 2I²Rt

This means that the new heat produced is double the original heat.

Therefore, when the resistance of a conductor is reduced to half (keeping voltage constant), its thermal effect doubles.

Hence, the correct answer is Option C: double.
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2 Comments
Rohan Majumdar
Rohan Majumdar 8 months ago
But if current remains constant. then when resistance is half Heat energy will also be half. So the question framing is wrong. It did not mentioned which is constant so there can be more than one answer
Alok Sah
Alok Sah 12 months ago
C. is the correct answer