The heating element of a clothes dryer has a resistance of 11 and is connnected to a 240-V electrical outlet. What is the current in the heating element?
If the clothes dryer is run for 5 minutes, how much energy has been delivered to its heating element?
The heating element of a clothes dryer has a resistance of 11 and is connnected to a 240-V electrical outlet. What is the current in the heating element?
If the clothes dryer is run for 5 minutes, how much energy has been delivered to its heating element?
Use Ohm's law to compute the power in the first part and W = (power)*(time)
for ther second part.
Power = (current)*(voltage) = V^2/Resistance
22v
To find the current in the heating element, we can use Ohm's Law, which states that the current (I) is equal to the voltage (V) divided by the resistance (R). In this case, the voltage is 240 V and the resistance is 11 Ω.
Using the formula:
I = V / R
Substituting the values:
I = 240 V / 11 Ω
Calculating the current:
I ≈ 21.82 A
So, the current in the heating element is approximately 21.82 Amperes.
To calculate the energy delivered to the heating element, we need to know the power (P) of the heating element. Power is given by the formula: P = IV, where I is the current and V is the voltage.
Using the values obtained earlier:
P = 21.82 A * 240 V
Calculating the power:
P ≈ 5236.8 Watts
Since power is given in Watts and energy is given in Joules, we need to convert the power to energy using the formula: Energy (E) = Power (P) * Time (T).
Since the dryer runs for 5 minutes, we need to convert the time to seconds:
T = 5 mins * 60 seconds/min = 300 seconds
Calculating the energy:
E = 5236.8 W * 300 s
E ≈ 1,571,040 Joules
So, the heating element of the clothes dryer has delivered approximately 1,571,040 Joules of energy.