Impedance of an inductor

In summary, the conversation discusses two inductive elements wired into a Wheatstone bridge, where displacement of the sensor causes one inductor to increase by delta L while the other decreases. The question asks for the equation for the impedance of an inductor and the expression for the ratio of input and output AC voltages in terms of delta L/L. To solve this, one must refer to the text on inductors and impedance and write down the appropriate equation for impedance.
  • #1
Bertrodriguez
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Homework Statement


Two inductive elements that are wired into a Wheatstone bridge. Upon displacement of the sensor, each inductor will change by delta L one increasing, the other reducing.
What is the equation for the impedance of an inductor?
Determine an expression for the ratio of the input (vi) and output (vo) AC voltages in terms of the ratio delta L/L


Homework Equations





The Attempt at a Solution

 
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  • #2
Hi Bertrodriguez, welcome to PF!:smile:

As per forum rules (which you agreed to when you signed up for your account!), you must provide some attempt at a solution, or at least explain where you are stuck. We are not here to do your homework for you.

If you haven't already done so, I'd begin by reading the sections of your text on inductors and impedance, and then write down the equation for impedance...
 

1. What is the impedance of an inductor?

The impedance of an inductor is a measure of its opposition to alternating current (AC) flow. It is represented by the symbol Z and is measured in ohms (Ω).

2. How is the impedance of an inductor calculated?

The impedance of an inductor can be calculated using the formula Z = jωL, where j is the imaginary unit, ω is the angular frequency in radians per second, and L is the inductance in henries (H).

3. What factors affect the impedance of an inductor?

The impedance of an inductor is affected by its inductance value, the frequency of the AC current, and the material and construction of the inductor itself. Higher frequencies and larger inductance values result in higher impedance.

4. How does the impedance of an inductor affect a circuit?

The impedance of an inductor, along with the impedance of other circuit components, determines the overall impedance of a circuit. This can affect the flow of current and the voltage across the circuit, and can impact the performance of the circuit.

5. Can the impedance of an inductor be changed?

Yes, the impedance of an inductor can be changed by altering its inductance value or the frequency of the AC current passing through it. This can be done by adding or removing turns from the inductor, or by using different materials or construction methods to change its properties.

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