A High-Pass Filter. One application of L-R-C series circuits is to high-pass or low-pass filters, which filter out cither the low- or high-frequency components of a signal. A high-pass filter is shown in Fig. P31.47 , where the output voltage is taken across the L-R combination. (The L-R combination represents an inductive coil that also has resistance due to the large length of wire in the coil.) Derive an expression for V out / V s , the ratio of the output and source voltage amplitudes, as a function of the angular frequency ω of the source. Show that when ω is small, this ratio is proportional to ω and thus is small, and show that the ratio approaches unity in the limit of large frequency. Figure P31.47
A High-Pass Filter. One application of L-R-C series circuits is to high-pass or low-pass filters, which filter out cither the low- or high-frequency components of a signal. A high-pass filter is shown in Fig. P31.47 , where the output voltage is taken across the L-R combination. (The L-R combination represents an inductive coil that also has resistance due to the large length of wire in the coil.) Derive an expression for V out / V s , the ratio of the output and source voltage amplitudes, as a function of the angular frequency ω of the source. Show that when ω is small, this ratio is proportional to ω and thus is small, and show that the ratio approaches unity in the limit of large frequency. Figure P31.47
A High-Pass Filter. One application of L-R-C series circuits is to high-pass or low-pass filters, which filter out cither the low- or high-frequency components of a signal. A high-pass filter is shown in Fig. P31.47, where the output voltage is taken across the L-R combination. (The L-R combination represents an inductive coil that also has resistance due to the large length of wire in the coil.) Derive an expression for Vout/Vs, the ratio of the output and source voltage amplitudes, as a function of the angular frequency ω of the source. Show that when ω is small, this ratio is proportional to ω and thus is small, and show that the ratio approaches unity in the limit of large frequency.
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Two chloride ions and two sodium ions are in water, the "effective charge" on the chloride ions (CI¯) is −2.00 × 10-21 C
and that of the sodium ions (Na+) is +2.00 x 10-21 C. (The effective charge is a way to account for the partial shielding due
to nearby water molecules.) Assume that all four ions are coplanar.
CT
Na+
Na+
30.0°
45.0%
с
сг
L.
where a = 0.300 nm, b = 0.710 nm, and c = 0.620 nm.
What is the direction of electric force on the chloride ion in the lower right-hand corner in the diagram? Enter the angle in degrees
where positive indicates above the negative x-axis and negative indicates below the positive x-axis.
A pendulum has a 0.4-m-long cord and is given a tangential velocity of 0.2 m/s toward the
vertical from a position 0 = 0.3 rad.
Part A
Determine the equation which describes the angular motion.
Express your answer in terms of the variable t. Express coefficients in radians to three significant figures.
ΜΕ ΑΣΦ
vec
(t)=0.3 cos (4.95t) + 0.101 sin (4.95t)
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Part A
■Review
The uniform 150-lb stone (rectangular block) is being turned over on its side by pulling the
vertical cable slowly upward until the stone begins to tip.
(Figure 1)
If it then falls freely (T = 0) from an essentially balanced at-rest position, determine the speed at which the corner A strikes the pad at B. The stone does not slip at its corner C as it falls. Suppose that height of the stone is
L = 1.2 ft.
Express your answer to three significant figures and include the appropriate units.
?
ft
VA 10.76
S
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Chapter 31 Solutions
University Physics with Modern Physics, Volume 1 (Chs. 1-20) (14th Edition)
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