A 2400 watt appliance operating at 10 amps has most nearly_____ ohms resistance.

A) 24
B) 0.5
C) 5
D) 240
E) need more info

I tried to find a formula to use, but i don't know which one to use. Thank you.

Power = Vi = V²/r = i²r

In the given problem, you have been given the current i=10 amps, Power = 2400 watts.
The resistance can be calculated from one of the above formulas.

so can i use P=i(^2)r

r=P/i(^2)=24

so the answer is A, correct?

Right!

To find the resistance of the appliance, we can use Ohm's Law, which states that the resistance (R) can be calculated by dividing the voltage (V) by the current (I). In this case, we have power (P) and current (I), so we need to rearrange the formula to solve for resistance.

First, we need to convert the power from watts to volts. Since Power (P) is equal to Voltage (V) multiplied by Current (I), we can rearrange the formula to solve for Voltage (V):

P = V * I

In this case, the power is given as 2400 watts and the current is 10 amps. So, we can solve for Voltage (V):

2400 W = V * 10 A

V = 2400 W / 10 A
V = 240 V

Now that we have the voltage, we can use Ohm's Law to find the resistance:

R = V / I
R = 240 V / 10 A
R = 24 ohms

Therefore, the appliance has most nearly 24 ohms of resistance, which corresponds to option A) in the given choices.