How Do Transformers and Resonance Affect AC Circuits?

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A 240 RMS voltage source is connected to a step-down transformer with a primary of 2000 turns and a secondary of 500 turns, linked to an RLC circuit comprising a 0.03 Henry inductor, a 0.004 farad capacitor, and a 120 ohm resistor. To find the maximum induced voltage in the secondary coils, the peak voltage from the RMS value must be calculated, considering the transformer turns ratio. Additionally, determining the frequency of the AC source that maximizes current in the secondary winding involves analyzing the resonance condition of the RLC circuit. The discussion emphasizes the need to show initial problem-solving attempts to receive assistance. Understanding these principles is crucial for effectively analyzing AC circuits with transformers and resonance.
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A 240 RMS voltage source is connected to a step down transformer with primary windings consisting of 2000 turns or wraps. A secondary set of windings consist of 500 turns or wraps and is connected to an inductor of 0.03 Henry's, a 0.004 farad capacitor and a 120 ohm resistor. Determine the following:
a. The Maximum induced voltage in the secondary coils.
b. The frequency of the ac source required to produce maximum induced current in the secondary windings


Any help would be greatly appreciated! Thanks!
 
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The deal here at the Homework Forum is that you have to show an attempt to solve a problem before you'll get much help.

So saying, I will say two things about the parts of this problem:

a) The voltage source uses alternating current (that's why the voltage is given as Root-Mean-Square), so you'll need to find its peak voltage. What is the relationship between the voltages in the two coils in a transformer?

b) The secondary coil is connected to an RLC circuit. If the coil and circuit are to have maximum response to being driven by the induced voltage via the transformer from the voltage source, what frequency in the circuit will make this possible?
 
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