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"Chapter 1 - The Op Amp's Place in the World" - HTL Wien 10

"Chapter 1 - The Op Amp's Place in the World" - HTL Wien 10

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3.7 Video Amplifiers<br />

Development of <strong>the</strong> Ideal <strong>Op</strong> Amp Equations<br />

Video Amplifiers<br />

Video signals conta<strong>in</strong> high frequencies, and <strong>the</strong>y use coaxial cable to transmit and receive<br />

signals. <strong>The</strong> cable connect<strong>in</strong>g <strong>the</strong>se circuits has a characteristic impedance of 75 Ω. To<br />

prevent reflections, which cause distortion and ghost<strong>in</strong>g, <strong>the</strong> <strong>in</strong>put and output circuit impedances<br />

must match <strong>the</strong> 75 Ω cable.<br />

Match<strong>in</strong>g <strong>the</strong> <strong>in</strong>put impedance is simple for a non<strong>in</strong>vert<strong>in</strong>g amplifier because its <strong>in</strong>put impedance<br />

is very high; just make R IN = 75 Ω. R F and R G can be selected as high values,<br />

<strong>in</strong> <strong>the</strong> hundreds of Ohms range, so that <strong>the</strong>y have m<strong>in</strong>imal affect on <strong>the</strong> impedance of <strong>the</strong><br />

<strong>in</strong>put or output circuit. A match<strong>in</strong>g resistor, R M, is placed <strong>in</strong> series with <strong>the</strong> op amp output<br />

to raise its output impedance to 75 Ω; a term<strong>in</strong>at<strong>in</strong>g resistor, R T, is placed at <strong>the</strong> <strong>in</strong>put of<br />

<strong>the</strong> next stage to match <strong>the</strong> cable (Figure 3–9).<br />

VIN<br />

Figure 3–9. Video Amplifier<br />

3.8 Capacitors<br />

RIN<br />

RG<br />

+<br />

a<br />

_<br />

RF<br />

RM<br />

RT<br />

VOUT<br />

<strong>The</strong> match<strong>in</strong>g and term<strong>in</strong>at<strong>in</strong>g resistors are equal <strong>in</strong> value, and <strong>the</strong>y form a voltage divider<br />

of 1/2 because R T is not loaded. Very often R F is selected equal to R G so that <strong>the</strong> op amp<br />

ga<strong>in</strong> equals two. <strong>The</strong>n <strong>the</strong> system ga<strong>in</strong>, which is <strong>the</strong> op amp ga<strong>in</strong> multiplied by <strong>the</strong> divider<br />

ga<strong>in</strong>, is equal to one (2 × 1/2 = 1).<br />

Capacitors are a key component <strong>in</strong> a circuit designer’s tool kit, thus a short discussion on<br />

evaluat<strong>in</strong>g <strong>the</strong>ir affect on circuit performance is <strong>in</strong> order. Capacitors have an impedance<br />

of X C = 1 / 2πfC. Note that when <strong>the</strong> frequency is zero <strong>the</strong> capacitive impedance (also<br />

known as reactance) is <strong>in</strong>f<strong>in</strong>ite, and that when <strong>the</strong> frequency is <strong>in</strong>f<strong>in</strong>ite <strong>the</strong> capacitive impedance<br />

is zero. <strong>The</strong>se end-po<strong>in</strong>ts are derived from <strong>the</strong> f<strong>in</strong>al value <strong>the</strong>orem, and <strong>the</strong>y are<br />

used to get a rough idea of <strong>the</strong> effect of a capacitor. When a capacitor is used with a resistor,<br />

<strong>the</strong>y form what is called a break-po<strong>in</strong>t. Without go<strong>in</strong>g <strong>in</strong>to complicated math, just accept<br />

that <strong>the</strong> break frequency occurs at f = 1/(2π RC) and <strong>the</strong> ga<strong>in</strong> is –3 dB at <strong>the</strong> break<br />

frequency.<br />

<strong>The</strong> low pass filter circuit shown <strong>in</strong> Figure 3–<strong>10</strong> has a capacitor <strong>in</strong> parallel with <strong>the</strong> feedback<br />

resistor. <strong>The</strong> ga<strong>in</strong> for <strong>the</strong> low pass filter is given <strong>in</strong> Equation 3–20.<br />

3-9

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