Respuesta :
Current = (voltage) / (resistance)
= (120 v) / (6 Ω) = 20 Amperes .
Electrical power = (voltage) x (current) .
= (120 v) x (20 Amperes)
= 2,400 watts .
That amount of power will sure toast your buns in a hurry.
The current carried by the wire and the power rating of the heater are 20 A and 2400 W respectively.
Given data:
The potential difference across the electric heater is, V' = 120 V.
The total resistance of the nichrome wire is, [tex]R= 6.00 \;\rm \Omega[/tex].
First we need to apply the Ohm's law to find the current through the wire. The expression for the Ohm's law is given as,
[tex]V'= I \times R\\\\I =\dfrac{V'}{R}\\\\I =\dfrac{120}{6}\\\\I=20 \;\rm A[/tex]
Now, the expression for the electric power through the heater is given as,
[tex]P= V \times I\\\\P= 120 \times 20\\\\P =2400 \;\rm W[/tex]
Thus, we can conclude that the current carried by the wire and the power rating of the heater are 20 A and 2400 W respectively.
Learn more about the Ohm's law here:
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