An alarm clock uses 5.0 watts of electric power. If the clock is plugged into 120 volts outlet, what electric current is in the clock's circuit?
Power = P = I*V
I = P/V = 5.0/120 = 0.047 Amperes
Since it almost certainly running on AC, the current computed is the rms average value (root mean square)
To find the electric current in the clock's circuit, we can apply Ohm's law, which states that the current (I) in a circuit is equal to the voltage (V) divided by the resistance (R).
In this case, the resistance refers to the electrical resistance of the clock. However, since the problem only provides the power consumption (in watts) and the voltage (in volts), we need to determine the resistance first.
The formula for power (P) is: P = V * I
Rearranging the formula, we have:
R = V / I
We know that the power used by the clock is 5.0 watts, and the voltage is 120 volts. Substituting these values into the formula, we can solve for the resistance (R):
5.0 = 120 / I
Now, we can rearrange the equation to solve for the current (I):
I = 120 / 5.0
I ≈ 24
Therefore, the electric current in the clock's circuit is approximately 24 Amperes.
To determine the electric current in the clock's circuit, you can use Ohm's Law, which states that current (I) is equal to voltage (V) divided by resistance (R), or I = V / R.
In this case, the electric power (P) is given as 5.0 watts, the voltage (V) is 120 volts, and we need to find the current (I). However, since we don't have the resistance (R) directly, we can use a different formula that relates power (P), voltage (V), and current (I). The formula is P = V * I.
Rearranging this formula to solve for current (I), we get I = P / V.
Plugging in the given values, we have I = 5.0 watts / 120 volts.
Dividing these values, we find that the electric current in the clock's circuit is approximately 0.0417 amperes (A).