College

Calculate the current for a countertop cooking unit rated at 7,450 watts and 120/240 volts.

A. 38.8 amps
B. 62 amps
C. 24.8 amps
D. 31 amps

Answer :

We start with the power formula:

[tex]$$
I = \frac{P}{V}
$$[/tex]

where:
- [tex]$P$[/tex] is the power in watts,
- [tex]$V$[/tex] is the voltage in volts,
- [tex]$I$[/tex] is the resulting current in amps.

The countertop cooking unit has a power rating of 7,450 watts and can be connected to either a 120-volt or a 240-volt circuit. For high-powered appliances like this unit, a 240-volt supply is typical.

Using [tex]$P = 7450\,\text{W}$[/tex] and [tex]$V = 240\,\text{V}$[/tex], we calculate the current as follows:

[tex]$$
I = \frac{7450}{240} \approx 31.04\text{ amps}
$$[/tex]

Since the calculated current is approximately 31 amperes, the correct answer is:

[tex]$$\boxed{31\,\text{amps}}.$$[/tex]