A water heater has a resistance of 22 Ohms connected to a 220 V voltage source. What is the needed current to operate the heater?
Understand the Problem
The question is asking for the calculation of current required to operate a water heater with a given resistance and voltage. We can use Ohm's law, which states that current is equal to voltage divided by resistance (I = V/R).
Answer
$I = \frac{V}{R}$
Answer for screen readers
The required current to operate the water heater is given by the formula $ I = \frac{V}{R} $.
Steps to Solve
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Identify the Variables We need to identify the resistance ($R$) and the voltage ($V$) provided for the water heater.
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Use Ohm's Law According to Ohm's Law, the formula to find current ($I$) is: $$ I = \frac{V}{R} $$ This means that the current is equal to the voltage divided by the resistance.
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Substitute Known Values Now, substitute the known values of $V$ and $R$ into the equation to find $I$.
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Calculate the Current Perform the division to find the current value.
The required current to operate the water heater is given by the formula $ I = \frac{V}{R} $.
More Information
This calculation applies the fundamental principle of Ohm's Law, allowing you to determine how much current is needed based on the water heater's specifications. This is essential for ensuring that the electrical circuit can handle the load.
Tips
- Confusing Voltage and Resistance: Make sure to correctly identify which value is voltage and which is resistance, as mixing them up will lead to an incorrect answer.
- Forgetting Units: Always keep track of the units for voltage (volts) and resistance (ohms) throughout the calculations.
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