What is the equivalent impedance of a resistor (R) in series with an inductor (L

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Question: What is the equivalent impedance of a resistor (R) in series with an inductor (L) at a frequency (f)?

Options:

Correct Answer: Z = R + jωL

Solution:

The impedance of a resistor in series with an inductor is given by Z = R + jωL, where ω = 2πf.

What is the equivalent impedance of a resistor (R) in series with an inductor (L) at a frequency (f)?

What is the equivalent impedance of a resistor (R) in series with an inductor (L) at a frequency (f)?

Step 1: Understand that impedance (Z) is a measure of how much a circuit resists the flow of electric current.
Step 2: Know that a resistor (R) has a real part of impedance equal to its resistance value.
Step 3: Understand that an inductor (L) has an imaginary part of impedance that depends on the frequency (f) of the current.
Step 4: Remember the formula for the angular frequency (ω), which is ω = 2πf.
Step 5: Combine the impedance of the resistor and the inductor using the formula Z = R + jωL, where j represents the imaginary unit.
Step 6: Substitute ω with 2πf in the formula to get Z = R + j(2πf)L.

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