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And that s how to interpolate variables when those variables run up against other nonwhitespace characters in your text string If you don t want a variable to be interpolated, put a backslash (\) in front of it:

One of the most important phenomena in ac circuits, especially in RF engineering, is the property of resonance This is a condition that occurs when capacitive and inductive reactance cancel each other out

echo "I have \$apples";

Series Resonance Recall that capacitive reactance, XC, and inductive reactance, XL, can be equal in magnitude, although they are always opposite in effect In any circuit containing an inductance and capacitance, there exists a frequency at which XL = XC This condition constitutes resonance In a simple LC circuit, there is only one such frequency But in some circuits involving transmission lines or antennas,

The next step up in handling data from variables is arrays, and arrays work in PHP much as they do in JavaScript Here s an example, arraysphp, that gives you the fundamentals of working with arrays In PHP, you can create an array simply by referring to it Here s how we create an array named $fruit (like other variables, array names in PHP begin with a $) and assign $fruit[0] the string "apples" (as in JavaScript, arrays in PHP are 0-based):

We can add other items to the array as well:

there can be many such frequencies The lowest frequency at which resonance occurs is called the resonant frequency, symbolized fo Refer to the schematic diagram of Fig 17-11 You should recognize this as a series RLC circuit At some particular frequency, XL = XC This is inevitable if L and C are finite and nonzero This frequency is fo for the circuit At fo, the effects of capacitive reactance and inductive reactance cancel out The result is that the circuit appears as a pure resistance, with a value that is theoretically equal to R If R = 0, that is, if the resistor is a short circuit, then the circuit is called a series LC circuit, and the impedance at resonance will be theoretically 0 + j 0 The circuit will offer no opposition to the flow of alternating current at the frequency fo This condition is series resonance In a practical series LC circuit, there is always a little bit of loss in the coil and capacitor, so the real part of the complex impedance is not exactly equal to 0 (although it can be extremely small)

We can overwrite elements in the array simply by assigning another value to that element, like this, where we re overwriting $fruit[2]:

Parallel Resonance Refer to the circuit diagram of Fig 17-12 This is a parallel RLC circuit Remember that, in this sort of situation, the resistance R should be thought of as a conductance G, with G = 1/R Then the circuit can be called a parallel GLC circuit At some particular frequency fo, the inductive susceptance BL will exactly cancel the capacitive susceptance BC ; that is, BL = BC This is inevitable for some frequency fo, as long as the circuit contains finite, nonzero inductance and finite, nonzero capacitance At the frequency fo, the susceptances cancel each other out, leaving theoretically zero susceptance The admittance through the circuit is then very nearly equal to the conductance, G, of the resistor If the circuit contains no resistor, but only a coil and capacitor, it is called a parallel LC circuit, and the admittance at resonance will be theoretically 0 + j0 That means the circuit will offer great opposition to alternating current at fo, and the complex impedance will theoretically be infinite! This condition is parallel resonance In a practical parallel LC circuit, there is always a little bit of loss in the coil and capacitor, so the real part of the complex impedance is not infinite (although it can be extremely large) Calculating Resonant Frequency The formula for calculating resonant frequency fo, in terms of the inductance L in henrys and the capacitance C in farads, is as follows:

< php $fruit[0] = "apples"; $fruit[1] = "oranges"; $fruit[2] = "pomegranates"; $fruit[2] = "watermelons"; >

fo = 1/[2 (LC )1/2]

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