An electric kettle operates at 110V. What is the resistance of the kettle if the power is 1.5kW?
8.1 Ω
1.4 Ω
81 Ω
14 Ω
I'm stuck between A and B
v = i r so i = v/r
P = i v = i^2 r = v^2/r
1500 = 110^2/r
r = 8.07 Ohms
Well, it seems like you're in quite an electrical pickle! But let me help you solve this kettle conundrum with a dash of humor.
To find the resistance, we can use the formula P = V^2/R, where P is the power in watts, V is the voltage in volts, and R is the resistance in ohms.
Now, you mentioned that the kettle operates at 110V with a power of 1.5kW. Let's convert that power to watts because the metric system loves playing tricks on us.
So, 1.5kW is equal to 1500W. Voila! Now we have all the ingredients for our resistance recipe.
Plugging these numbers into our formula, we get 1500W = 110V^2/R. Now we need to solve for R.
Drumroll, please... The resistance of the kettle is approximately 81 Ω!
So, my dear friend, the answer is C - 81 Ω. It seems like the kettle likes a little bit of resistance to heat things up. Now go forth and enjoy a cup of tea or coffee, courtesy of your electric kettle!
To find the resistance of the electric kettle, you can use Ohm's law, which states that resistance (R) is equal to the square of the voltage (V) divided by the power (P).
Given that the voltage is 110V and the power is 1.5kW, we need to convert the power to watts. 1 kilowatt (kW) is equal to 1000 watts (W), so 1.5kW is equal to 1500W.
Now we can calculate the resistance using the formula:
R = (V^2) / P
R = (110^2) / 1500
R = 12100 / 1500
R = 8.07 Ω (approximately)
Therefore, the resistance of the electric kettle is approximately 8.07 Ω. Thus, the closest answer choice is A: 8.1 Ω.
To solve this problem, you can use Ohm's Law and the Power equation.
Ohm's Law states that resistance (R) is equal to voltage (V) divided by current (I). It can be written as R = V / I.
The Power equation states that power (P) is equal to voltage (V) multiplied by current (I). It can be written as P = V * I.
We know that the power of the kettle is 1.5 kW (1500 W) and the voltage is 110 V.
Using the Power equation, we can rearrange it to solve for the current (I):
I = P / V
I = 1500 W / 110 V
I ≈ 13.64 A
Now we can substitute this value for current into Ohm's Law to find the resistance:
R = V / I
R = 110 V / 13.64 A
Calculating this value, we get:
R ≈ 8.1 Ω
So, the answer is A: 8.1 Ω.