A current of 4.00 A flows through the heating element of heater converting 500 J of electrical energy into thermal energy every second. What is the voltage across the ends of the heating element?
a. 2000 V
b. 125 V
c. 250 V
d. 0.008 V
e. 0.125 V
Power = 500J/s = 500 Watts.
V*I = 500
V = 500/I = 500/4 = 125 Volts.
To find the voltage across the ends of the heating element, we can use the formula:
Power = Voltage × Current
Given that the power is 500 J/s and current is 4.00 A, we can rearrange the formula to solve for voltage:
Voltage = Power / Current
Substituting in the given values:
Voltage = 500 J/s / 4.00 A = 125 V
Therefore, the voltage across the ends of the heating element is 125 V.
The correct answer is b. 125 V.
To find the voltage across the ends of the heating element, you can use Ohm's law, which states that voltage (V) is equal to the current (I) multiplied by the resistance (R). In this case, you are given the current (4.00 A) and the electrical energy (500 J) converted into thermal energy every second.
Since electrical energy (E) is equal to the product of power (P) and time (t), you can use the formula P = E/t to find the power. You are given the electrical energy (500 J) and the time (1 s), so you can calculate the power:
P = E/t
P = 500 J / 1 s
P = 500 W
Now, since power (P) is equal to the product of current (I) and voltage (V), you can rearrange the equation to solve for voltage:
P = I * V
500 W = 4.00 A * V
Now divide both sides of the equation by 4.00 A:
500 W / 4.00 A = V
125 V = V
So, the voltage across the ends of the heating element is 125 V.
Therefore, the answer is b. 125 V.