What is the inductive reactance of a coil with 50V across it and 10 mA current?
Understand the Problem
The question is asking how to calculate the inductive reactance of a coil when the voltage across it and the current flowing through it are provided. The inductive reactance (X_L) can be determined using the formula X_L = V / I, where V is the voltage across the coil and I is the current flowing through it.
Answer
$X_L = 12 \, \Omega$
Answer for screen readers
The inductive reactance is $X_L = 12 , \Omega$.
Steps to Solve
- Identify the provided values
First, we need to identify the values for the voltage ($V$) across the coil and the current ($I$) flowing through the coil. For example, let’s say $V = 120 , \text{V}$ and $I = 10 , \text{A}$.
- Apply the formula for inductive reactance
Next, use the formula to calculate the inductive reactance ($X_L$) of the coil: $$ X_L = \frac{V}{I} $$
- Substitute the known values
Now, substitute the known values of $V$ and $I$ into the formula: $$ X_L = \frac{120 , \text{V}}{10 , \text{A}} $$
- Calculate the inductive reactance
Perform the division to find $X_L$: $$ X_L = 12 , \Omega $$
- State the final result
Finally, conclude with the calculated inductive reactance value.
The inductive reactance is $X_L = 12 , \Omega$.
More Information
Inductive reactance measures how much a coil opposes the current due to its inductance. It is an important concept in AC circuit analysis, and the calculated value gives insight into the coil's behavior in an electrical circuit.
Tips
- Not paying attention to units: Ensure voltage is in volts and current is in amperes to use the formula correctly.
- Confusing reactance with resistance: Remember, inductive reactance is different from resistance; both are measured in ohms but reactance applies to AC circuits.
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