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Suppose you have a supply of inductors ranging from 1.00 nH to 10.0 H, and capacitors ranging from 1.00 pF to0.100 F. What is the range of resonant frequencies that can be achieved from combinations of a single inductor and a single capacitor?

Hence trequency range from .159 $\mathrm{Hz}$ to $50.3 \times 10^{8} \mathrm{H}_{2}$

Physics 102 Electricity and Magnetism

Chapter 23

Electromagnetic Induction, AC Circuits, and Electrical Technologies

Electromagnetic Induction

Cornell University

University of Michigan - Ann Arbor

Simon Fraser University

University of Sheffield

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So there is an in frequency for heresy. Circuit is going by one over two pi square root every time. See So to find the minimum on the maximum of resonance frequency, let's look at them simultaneously. So if l don't see both maximum, then f will be minimum because they are in denominator. So we know that minimum off. Induct Ince's 190 Henry that his 10 power never to nine times minimum off capacitance is I'm sorry. I should be writing the maximum there because we're looking for minimum frequencies, So that is 10 Henry times A maximum capacitance is point 1/3 on DDE. Similarly, for maximum one, we should use the same formula, but with minimum off inductions and minimum off capacitance. Minimum off inductions is 190 Henry, which is 10 power negative. Nine. Henry on DDE one pico fatter that his 10 power in attitude 12. So this is simply one divided by two part because 10 times point when he's one. So when divided by two pi is the 0.15 nine boats. On the other hand, here it is 2025 9 divided by square root off 10 times, so I'm making it the way that makes the calculation easier. So nine plus 12 is 21 on. I have extra turned there, so I must have to empower. It went negative 22 because now I can take square root of this square root of this. Then this will be this term will be 10 power negative 11 in outside of square root in the numerator that will be 10 power positive 11 and 0.159 divided by a squared who took 10. 0.5 03 coat. So this is so if Max is a quitter. 5.3 time strength. Our negative temper. A positive nine loads. So if Max is this on F ministers,

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