Q80
If the resistance of a conductor is reduced to half, its thermal effect will be . . . . . . . .
A.
one fourth
B.
half
C.
double
AnswerD.
four times
Answer: Option C
Solution
Answer: Option C
Solution:
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.