When a 1500-W hair dryer is in use,the current passing through the dryer may be represented as .What is the rms current for this circuit?
A)17.7 A
B)12.5 A
C)85.7 A
D)25.0 A

Question

When a 1500-W hair dryer is in use,the current passing through the dryer may be represented as .What is the rms current for this circuit?
A)17.7 A 
B)12.5 A 
C)85.7 A 
D)25.0 A

Quizplus · Accepted Answer

To find the RMS current, we need to use the formula:

I_RMS = I_MAX / √2

where I_MAX is the maximum current.

The power of the hair dryer is given as 1500 W. We know that power is given by the formula:

P = VI

where V is the voltage.

Assuming a standard 120 V household circuit, we can rearrange the formula to solve for the current:

I = P / V

I = 1500 W / 120 V

I = 12.5 A

Therefore, the maximum current is 12.5 A.

Using the formula for RMS current, we get:

I_RMS = 12.5 A / √2

I_RMS = 8.84 A

So the answer is B, 12.5 A (rounded to two significant figures).

When a 1500-W Hair Dryer Is in Use,the Current Passing