When the current I in electric circuit is tripled, the heat energy H generated becomes __ the original heat energy generated.
When the current I in electric circuit is tripled, the heat energy H generated becomes __ the original heat energy generated.
The correct option is D 9 times
Given,
Initial heat generated = H
Initial current = I
Resistance of material = R (constant)
Time of conduction = t (constant)
As per joule's law, H = I²Rt is the heat energy generated initially.
If current is tripled, I = 3I.
Now, replacing I = 3I we get,
H' = (3I)²Rt where H' is the new heat generated.
i.e. H' = 9 I²Rt
Since H = I²Rt is the originally generated heat, we can replace it in the equation as
H' = 9 (I²Rt )
or H' = 9 (H)
i.e. new heat generated(H') is 9 times the original heat (H).
It means, if we increses the current in the circuit by 3 times, the heat generated in the electric circuit is 9 times the original heat energy.
9 times
Given,
Initial heat generated = H
Initial current = I
Resistance of material = R (constant)
Time of conduction = t (constant)
As per joule's law, H = I²Rt is the heat energy generated initially.
If current is tripled, I = 3I.
Now, replacing I = 3I we get,
H' = (3I)²Rt where H' is the new heat generated.
i.e. H' = 9 I²Rt
Since H = I²Rt is the originally generated heat, we can replace it in the equation as
H' = 9 (I²Rt )
or H' = 9 (H)
i.e. new heat generated(H') is 9 times the original heat (H).
It means, if we increses the current in the circuit by 3 times, the heat generated in the electric circuit is 9 times the original heat energy.
