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physics
physics scientists and engineers

Questions and Answers of Physics Scientists and Engineers

A high-pass RC filter with a crossover frequency of 1000 Hz uses a 100 Ω resistor. What is the value of the capacitor?
A low-pass RC filter with a crossover frequency of 1000 Hz uses a 100 Ω resistor. What is the value of the capacitor?
A low-pass filter consists of a 100 μF capacitor in series with a 159 Ω resistor. The circuit is driven by an AC source with a peak voltage of 5.00 V.a. What is the crossover frequency fc?b. What
What are VRand VCif the emf frequency in FIGURE EX32.19 is 10 kHz? 150 N (10 V) cos o ( 80 nF FIGURE EX32.19
A high-pass filter consists of a 1.59 μF capacitor in series with a 100 Ω resistor. The circuit is driven by an AC source with a peak voltage of 5.00 V.a. What is the crossover frequency fc?b. What
An electric circuit, whether it’s a simple lightbulb or a complex amplifier, has two input terminals that are connected to the two output terminals of the voltage source. The impedance between the
A 20 mH inductor is connected across an AC generator that produces a peak voltage of 10 V. What is the peak current through the inductor if the emf frequency is(a) 100 Hz?(b) 100 kHz?
The peak current through an inductor is 10 mA. What is the peak current ifa. The emf frequency is doubled?b. The emf peak voltage is doubled (at the original frequency)?
FIGURE EX32.24 shows voltage and current graphs for an inductor. a. What is the emf frequency f?b. What is the value of the inductance L? Voltage 1V 2A 0- 0.00 s 0.02 s -2 A 0.01 s Current - V-
An inductor is connected to a 15 kHz oscillator. The peak current is 65 mA when the rms voltage is 6.0 V. What is the value of the inductance L?
An inductor has a peak current of 330 μA when the peak voltage at 45 MHz is 2.2 V.a. What is the inductance?b. If the peak voltage is held constant, what is the peak current at 90 MHz?
A series RLC circuit has a 200 kHz resonance frequency. What is the resonance frequency if the capacitor value is doubled and, at the same time, the inductor value is halved?
A series RLC circuit has a 200 kHz resonance frequency. What is the resonance frequency ifa. The resistor value is doubled?b. The capacitor value is doubled?
What capacitor in series with a 100 Ω resistor and a 20 mH inductor will give a resonance frequency of 1000 Hz?
A series RLC circuit consists of a 50 Ω resistor, a 3.3 mH inductor, and a 480 nF capacitor. It is connected to an oscillator with a peak voltage of 5.0 V. Determine the impedance, the peak current,
At what frequency f do a 1.0 μF capacitor and a 1.0 μH inductor have the same reactance? What is the value of the reactance at this frequency?
For the circuit of FIGURE EX32.32, a. What is the resonance frequency, in both rad/s and Hz?b. Find VR and VL at resonance.c. How can VL be larger than Ԑ0? Explain. (10 V) cos ot 10 mH 10 µF:
For the circuit of FIGURE EX32.33, a. What is the resonance frequency, in both rad/s and Hz?b. Find VR and VC at resonance.c. How can VC be larger than Ԑ0? Explain. 10 0 (10 V) cos ot 1.0 mH 1.0
The heating element of a hair drier dissipates 1500 W when connected to a 120 V/60 Hz power line. What is its resistance?
A resistor dissipates 2.0 W when the rms voltage of the emf is 10.0 V. At what rms voltage will the resistor dissipate 10.0 W?
For what absolute value of the phase angle does a source deliver 75% of the maximum possible power to an RLC circuit?
The motor of an electric drill draws a 3.5 A rms current at the power-line voltage of 120 V rms. What is the motor’s power if the current lags the voltage by 20°?
A series RLC circuit attached to a 120 V/60 Hz power line draws a 2.4 A rms current with a power factor of 0.87. What is the value of the resistor?
A series RLC circuit with a 100 Ω resistor dissipates 80 W when attached to a 120 V/60 Hz power line. What is the power factor?
a. For an RC circuit, find an expression for the angular frequency at which VR = 1/2Ԑ0.b. What is VC at this frequency?
a. lar frequency at which VC = 1/2Ԑ0.For an RC circuit, find an expression for the angub. What is VR at this frequency?
For an RC filter circuit, show that VR = VC = Ԑ0/√2 at ω = ωc.
A series RC circuit is built with a 12 kΩ resistor and a parallel plate capacitor with 15-cm-diameter electrodes. A 12 V, 36 kHz source drives a peak current of 0.65 mA through the circuit. What is
Show that Equation 32.27 for the phase angle ϕ of a series RLC circuit gives the correct result for a capacitor-only circuit.
a. What is the peak current supplied by the emf in FIGURE P32.45?b. What is the peak voltage across the 3.0 μF capacitor? 3.0 μF Eo = 10 V f=200 Hz 4.0 µF: -2.0 μF FIGURE P32.45
You have a resistor and a capacitor of unknown values. First, you charge the capacitor and discharge it through the resistor. By monitoring the capacitor voltage on an oscilloscope, you see that the
FIGURE P32.47 shows a parallel RC circuit. a. Use a phasor-diagram analysis to find expressions for the peak currents IR and IC. b. Complete the phasor analysis by finding an expression for the peak
The small transformers that power many consumer products produce a 12.0 V rms, 60 Hz emf. Design a circuit using resistors and capacitors that uses the transformer voltage as an input and produces a
Use a phasor diagram to analyze the RL circuit of FIGURE P32.49. In particular, a. Find expressions for I, VR, and VL.b. What is VR in the limits ω ?? 0 and ω ?? ???c. If the output is taken from
A series RLC circuit consists of a 75 Ω resistor, a 0.12 H inductor, and a 30 μF capacitor. It is attached to a 120 V/60 Hz power line. What are(a) The peak current I,(b) The phase angle ϕ,(c) The
A series RLC circuit consists of a 25 Ω resistor, a 0.10 H inductor, and a 100 μF capacitor. It draws a 2.5 A rms current when attached to a 60 Hz source. What are(a) The emf Ԑrms,(b) The phase
The tuning circuit in an FM radio receiver is a series RLC circuit with a 0.200 μH inductor.a. The receiver is tuned to a station at 104.3 MHz. What is the value of the capacitor in the tuning
A series RLC circuit consists of a 550 Ω resistor, a 2.1 mH inductor, and a 550 nF capacitor. It is connected to a 50 V rms oscillating voltage source with an adjustable frequency. An oscillating
In FIGURE P32.54, what is the current supplied by the emf when(a) The frequency is very small(b) The frequency is very large? 50 0 100 N 10 V rms : 20 μF 50 mH FIGURE P32.54
The current lags the emf by 30° in a series RLC circuit with Ԑ0 = 10 V and R = 50 Ω. What is the peak current through the circuit?
A series RLC circuit consists of a 50 Ω resistor, a 3.3 mH inductor, and a 480 nF capacitor. It is connected to a 5.0 kHz oscillator with a peak voltage of 5.0 V. What is the instantaneous current i
A series RLC circuit consists of a 50 Ω resistor, a 3.3 mH inductor, and a 480 nF capacitor. It is connected to a 3.0 kHz oscillator with a peak voltage of 5.0 V. What is the instantaneous emf Ԑ
Show that the power factor of a series RLC circuit is cos ϕ = R/Z.
For a series RLC circuit, show thata. The peak current can be written I = Imax cos ϕ.b. The average power can be written Psource = Pmax cos2 ϕ.
A television channel is assigned the frequency range from 54 MHz to 60 MHz. A series RLC tuning circuit in a TV receiver resonates in the middle of this frequency range. The circuit uses a 16 pF
Lightbulbs labeled 40 W, 60 W, and 100 W are connected to a 120 V/60 Hz power line as shown in FIGURE P32.62. What is the rate at which energy is dissipated in each bulb? 40 W 120 V/60 Hz O100 W 60
A generator consists of a 12-cm by 16-cm rectangular loop with 500 turns of wire spinning at 60 Hz in a 25 mT uniform magnetic field. The generator output is connected to a series RC circuit
Commercial electricity is generated and transmitted as three phase electricity. Instead of a single emf, three separate wires carry currents for the emfs Ԑ1 = Ԑ0 cos ωt, Ԑ2 = Ԑ0 cos(ωt +120°),
You’re the operator of a 15,000 V rms, 60 Hz electrical substation. When you get to work one day, you see that the station is delivering 6.0 MW of power with a power factor of 0.90.a. What is the
Commercial electricity is generated and transmitted as three phase electricity. Instead of a single emf Ԑ = Ԑ0 cos ωt, three separate wires carry currents for the emfs Ԑ1 = Ԑ0 cos ωt, Ԑ2 = Ԑ0
A motor attached to a 120 V/60 Hz power line draws an 8.0 A current. Its average energy dissipation is 800 W.a. What is the power factor?b. What is the rms resistor voltage?c. What is the motor’s
a. Green light shines through a 100-mm-diameter hole and is observed on a screen. If the hole diameter is increased by 20%, does the circular spot of light on the screen decrease in diameter,
FIGURE CP32.68 shows voltage and current graphs for a series RLC circuit. a. What is the resistance R?b. If L = 200 μH, what is the resonance frequency in Hz? Voltage 10 V E2 A Current 0+ 50 100 us
a. Show that the average power loss in a series RLC circuit is b. Prove that the energy dissipation is a maximum at ω = ω0. ms)³R ? – w³)² Pavg w*R? + L²(@°
a. Show that the peak inductor voltage in a series RLC circuit is maximum at frequencyb. A series RLC circuit with Ô0 = 10.0 V consists of a 1.0 Î© resistor, a 1.0
The telecommunication circuit shown in FIGURE CP32.71 has a parallel inductor and capacitor in series with a resistor. a. Use a phasor diagram to show that the peak current through the resistor
Consider the parallel RLC circuit shown in FIGURE CP32.72. a. Show that the current drawn from the emf is b. What is I in the limits ω ?? 0 and ω ?? ???c. Find the frequency for which I is a
A double slit is illuminated simultaneously with orange light of wavelength 620 nm and light of an unknown wavelength. The m = 4 bright fringe of the unknown wavelength overlaps the m = 3 bright
FIGURE Q33.1 shows light waves passing through two closely spaced, narrow slits. The graph shows the intensity of light on a screen behind the slits. Reproduce these graph axes, including the zero
Two narrow slits 80 μm apart are illuminated with light of wavelength 620 nm. What is the angle of the m = 3 bright fringe in radians? In degrees?
In a double-slit interference experiment, which of the following actions (perhaps more than one) would cause the fringe spacing to increase?(a) Increasing the wavelength of the light.(b) Increasing
A double-slit experiment is performed with light of wavelength 630 nm. The bright interference fringes are spaced 1.8 mm apart on the viewing screen. What will the fringe spacing be if the light is
FIGURE Q33.3 shows the viewing screen in a double-slit experiment. Fringe C is the central maximum. What will happen to the fringe spacing if a. The wavelength of the light is decreased?b. The
Light of wavelength 550 nm illuminates a double slit, and the interference pattern is observed on a screen. At the position of the m = 2 bright fringe, how much farther is it to the more distant slit
FIGURE Q33.3 is the interference pattern seen on a viewing screen behind 2 slits. Suppose the 2 slits were replaced by 20 slits having the same spacing d between adjacent slits. a. Would the number
Light of 630 nm wavelength illuminates two slits that are 0.25 mm apart. FIGURE EX33.5 shows the intensity pattern seen on a screen behind the slits. What is the distance to the screen? Intensity x
FIGURE Q33.5 shows the light intensity on a viewing screen behind a single slit of width a. The light??s wavelength is λ. Is λ < a, λ = a, λ > a, or is it not possible to tell? Explain.
In a double-slit experiment, the slit separation is 200 times the wavelength of the light. What is the angular separation (in degrees) between two adjacent bright fringes?
FIGURE Q33.6 shows the light intensity on a viewing screen behind a circular aperture. What happens to the width of the central maximum if a. The wavelength of the light is increased?b. The diameter
Light from a sodium lamp (λ = 589 nm) illuminates two narrow slits. The fringe spacing on a screen 150 cm behind the slits is 4.0 mm. What is the spacing (in mm) between the two slits?
Narrow, bright fringes are observed on a screen behind a diffraction grating. The entire experiment is then immersed in water. Do the fringes on the screen get closer together, get farther apart,
A double-slit interference pattern is created by two narrow slits spaced 0.25 mm apart. The distance between the first and the fifth minimum on a screen 60 cm behind the slits is 5.5 mm. What is the
A 4.0-cm-wide diffraction grating has 2000 slits. It is illuminated by light of wavelength 550 nm. What are the angles (in degrees) of the first two diffraction orders?
A Michelson interferometer using 800 nm light is adjusted to have a bright central spot. One mirror is then moved 200 nm forward, the other 200 nm back. Afterward, is the central spot bright, dark,
Light of wavelength 620 nm illuminates a diffraction grating. The second-order maximum is at angle 39.5°. How many lines per millimeter does this grating have?
A Michelson interferometer is set up to display constructive interference (a bright central spot in the fringe pattern of Figure 33.25) using light of wavelength Î». If the wavelength is
A diffraction grating produces a first-order maximum at an angle of 20.0°. What is the angle of the second-order maximum?
A diffraction grating is illuminated simultaneously with red light of wavelength 660 nm and light of an unknown wavelength. The fifth-order maximum of the unknown wavelength exactly overlaps the
A helium-neon laser (λ = 633 nm) illuminates a diffraction grating. The distance between the two m = 1 bright fringes is 32 cm on a screen 2.0 m behind the grating. What is the spacing between slits
In a single-slit experiment, the slit width is 200 times the wavelength of the light. What is the width (in mm) of the central maximum on a screen 2.0 m behind the slit?
A helium-neon laser (λ = 633 nm) illuminates a single slit and is observed on a screen 1.5 m behind the slit. The distance between the first and second minima in the diffraction pattern is 4.75 mm.
Light of 630 nm wavelength illuminates a single slit of width 0.15 mm. FIGURE EX33.17 shows the intensity pattern seen on a screen behind the slit. What is the distance to the screen? Intensity TAm
A 0.50-mm-wide slit is illuminated by light of wavelength 500 nm. What is the width (in mm) of the central maximum on a screen 2.0 m behind the slit?
A laser beam illuminates a single, narrow slit, and the diffraction pattern is observed on a screen behind the slit. The first secondary maximum is 26 mm from the center of the diffraction pattern.
A Michelson interferometer uses red light with a wavelength of 656.45 nm from a hydrogen discharge lamp. How many brightdark-bright fringe shifts are observed if mirror M2 is moved exactly 1 cm?
You need to use your cell phone, which broadcasts an 800 MHz signal, but you’re behind two massive, radio-wave absorbing buildings that have only a 15 m space between them. What is the angular
For what slit-width-to-wavelength ratio does the first minimum of a single-slit diffraction pattern appear at(a) 30°,(b) 60°,(c) 90°?
Light from a helium-neon laser (λ = 633 nm) is incident on a single slit. What is the largest slit width for which there are no minima in the diffraction pattern?
Two 50@mm@wide slits spaced 0.25 mm apart are illuminated by blue laser light with a wavelength of 450 nm. The interference pattern is observed on a screen 2.0 m behind the slits. How many bright
A laser beam with a wavelength of 480 nm illuminates two 0.12-mm-wide slits separated by 0.30 mm. The interference pattern is observed on a screen 2.3 m behind the slits. What is the light intensity,
A 0.50-mm-diameter hole is illuminated by light of wavelength 550 nm. What is the width (in mm) of the central maximum on a screen 2.0 m behind the slit?
Infrared light of wavelength 2.5 μm illuminates a 0.20-mm diameter hole. What is the angle of the first dark fringe in radians? In degrees?
You want to photograph a circular diffraction pattern whose central maximum has a diameter of 1.0 cm. You have a heliumneon laser (μ = 633 nm) and a 0.12-mm-diameter pinhole. How far behind the
Your artist friend is designing an exhibit inspired by circular aperture diffraction. A pinhole in a red zone is going to be illuminated with a red laser beam of wavelength 670 nm, while a pinhole in
Light from a helium-neon laser (λ = 633 nm) passes through a circular aperture and is observed on a screen 4.0 m behind the aperture. The width of the central maximum is 2.5 cm. What is the diameter
Moving mirror M2 of a Michelson interferometer a distance of 100 mm causes 500 bright-dark-bright fringe shifts. What is the wavelength of the light?
A Michelson interferometer uses light from a sodium lamp. Sodium atoms emit light having wavelengths 589.0 nm and 589.6 nm. The interferometer is initially set up with both arms of equal length (L1 =
FIGURE P33.33 shows the light intensity on a screen 2.5 m behind an aperture. The aperture is illuminated with light of wavelength 620 nm. a. Is the aperture a single slit or a double slit?
FIGURE P33.34 shows the light intensity on a screen 2.5 m behind an aperture. The aperture is illuminated with light of wavelength 620 nm. a. Is the aperture a single slit or a double slit?
Light from a helium-neon laser (λ = 633 nm) is used to illuminate two narrow slits. The interference pattern is observed on a screen 3.0 m behind the slits. Twelve bright fringes are seen, spanning

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