You have a 1.0-m-long copper wire. You want to make an N turn current loop that generates a 1.0 mT magnetic field at the center when the current is 1.0 A. You must use the entire wire. What will be...

A conducting bar of length l and mass m rests at the left end of the two frictionless rails of length d in FIGURE P29.75. A uniform magnetic field of strength B points upward. a. In which direction,...

FIGURE EX30.5 shows a 10 cm 10 cm square bent at a 90? angle. A uniform 0.050 T magnetic field points downward at a 45? angle. What is the magnetic flux through the loop? 5 m 10 45 5 m FIGURE EX30.5

A solenoid is wound as shown in FIGURE EX30.10. a. Is there an induced current as magnet 1 is moved away from the solenoid? If so, what is the current direction through resistor R?b. Is there an...

The metal equilateral triangle in FIGURE EX30.11, 20 cm on each side, is halfway into a 0.10 T magnetic field. a. What is the magnetic flux through the triangle?b. If the magnetic field strength...

Electricity is distributed from electrical substations to neighborhoods at 15,000 V. This is a 60 Hz oscillating (AC) voltage. Neighborhood transformers, seen on utility poles, step this voltage down...

What is the potential difference across a 10 mH inductor if the current through the inductor drops from 150 mA to 50 mA in 10 s? What is the direction of this potential difference? That is, does the...

A 2.0 mH inductor is connected in parallel with a variable capacitor. The capacitor can be varied from 100 pF to 200 pF. What is the range of oscillation frequencies for this circuit?

A circular loop made from a flexible, conducting wire is shrinking. Its radius as a function of time is r = r 0 e -t . The loop is perpendicular to a steady, uniform magnetic field B. Find an...

A 3.0-cm-diameter, 10-turn coil of wire, located at z = 0 in the xy-plane, carries a current of 2.5 A. A 2.0-mm-diameter conducting loop with 2.0 10 -4 resistance is also in the xy-plane at the...

A 20 cm 20 cm square loop of wire lies in the xy-plane with its bottom edge on the x-axis. The resistance of the loop is 0.50 . A magnetic field parallel to the z-axis is given by B = 0.80y 2 t,...

A 2.0 cm 2.0 cm square loop of wire with resistance 0.010 has one edge parallel to a long straight wire. The near edge of the loop is 1.0 cm from the wire. The current in the wire is increasing at...

FIGURE P30.46 shows a 4.0-cm-diameter loop with resistance 0.10 around a 2.0-cm-diameter solenoid. The solenoid is 10 cm long, has 100 turns, and carries the current shown in the graph. A positive...

FIGURE P30.47 shows a 1.0-cm-diameter loop with R = 0.50 inside a 2.0-cm-diameter solenoid. The solenoid is 8.0 cm long, has 120 turns, and carries the current shown in the graph. A positive current...

One possible concern with MRI (see Exercise 28) is turning the magnetic field on or off too quickly. Bodily fluids are conductors, and a changing magnetic field could cause electric currents to flow...

The 10-cm-wide, zero-resistance slide wire shown in FIGURE P30.57 is pushed toward the 2.0 resistor at a steady speed of 0.50 m/s. The magnetic field strength is 0.50 T. a. How big is the pushing...

The inductor in FIGURE P30.74 is a 9.0-cm-long, 2.0-cm diameter solenoid wrapped with 300 turns. What is the current in the circuit 10 s after the switch is moved from a to b? 30 N + 6.0 V FIGURE...

The 300 F capacitor in FIGURE P30.75 is initially charged to 100 V, the 1200 F capacitor is uncharged, and the switches are both open. a. What is the maximum voltage to which you can charge the 1200...

To determine the inductance of an unmarked inductor, you set up the circuit shown in FIGURE P30.78. After moving the switch from a to b at t = 0 s, you monitor the resistor voltage with an...

5.0 s after the switch of FIGURE P30.79 is moved from a to b, the magnetic energy stored in the inductor has decreased by half. What is the value of the inductance L? 50 0 b 3.0 V FIGURE P30.79

The rectangular loop in FIGURE CP30.80 has 0.020 resistance. What is the induced current in the loop at this instant? 10 m/s 4.0 cm 1.0 cm 2.0 cm 15 A FIGURE CP30.80

What is the tension in the rope of FIGURE EX7.17? Figure Ex 7.17 60 kg 100 kg

The toroid of FIGURE P29.55 is a coil of wire wrapped around a doughnut-shaped ring (a torus). Toroidal magnetic fields are used to confine fusion plasmas. a. From symmetry, what must be the shape of...

Although the evidence is weak, there has been concern in recent years over possible health effects from the magnetic fields generated by electric transmission lines. A typical high-voltage...

A double-slit experiment is set up using a helium-neon laser ( = 633 nm). Then a very thin piece of glass (n = 1.50) is placed over one of the slits. Afterward, the central point on the screen is...

A Michelson interferometer operating at a 600 nm wavelength has a 2.00-cm-long glass cell in one arm. To begin, the air is pumped out of the cell and mirror M 2 is adjusted to produce a bright spot...

FIGURE CP33.73 shows two nearly overlapped intensity peaks of the sort you might produce with a diffraction grating (see Figure 33.9b). As a practical matter, two peaks can just barely be resolved if...

Optical computers require microscopic optical switches to turn signals on and off. One device for doing so, which can be implemented in an integrated circuit, is the Mach Zender interferometer seen...

A helium-neon laser ( = 633 nm) is built with a glass tube of inside diameter 1.0 mm, as shown in FIGURE P33.62. One mirror is partially transmitting to allow the laser beam out. An electrical...

Light from a helium-neon laser ( = 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 a...

Light from a helium-neon laser ( = 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...

Infrared light of wavelength 2.5 m illuminates a 0.20-mm diameter hole. What is the angle of the first dark fringe in radians? In degrees?

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 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 λ. If the wavelength is...

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?

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...

Two narrow slits 80 m apart are illuminated with light of wavelength 620 nm. What is the angle of the m = 3 bright fringe in radians? In degrees?

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 W...

A low-pass filter consists of a 100 F capacitor in series with a 159 resistor. The circuit is driven by an AC source with a peak voltage of 5.00 V. a. What is the crossover frequency f c ? b. What...

capacitor 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 capacitance C?

FIGURE EX32.5 shows voltage and current graphs for a resistor. a. What is the emf frequency f ?b. What is the value of the resistance R?c. Draw the resistor??s voltage and current phasors at t = 15...

A cube of water 10 cm on a side is placed in a microwave beam having E 0 = 11 kV/m. The microwaves illuminate one face of the cube, and the water absorbs 80% of the incident energy. How long will it...

When the Voyager 2 spacecraft passed Neptune in 1989, it was 4.5 10 9 km from the earth. Its radio transmitter, with which it sent back data and images, broadcast with a mere 21 W of power. Assuming...

FIGURE P31.39 shows the electric field inside a cylinder of radius R = 3.0 mm. The field strength is increasing with time as E = 1.0 10 8 t 2 V/m, where t is in s. The electric field outside the...

The magnetic field inside a 4.0-cm-diameter superconducting solenoid varies sinusoidally between 8.0 T and 12.0 T at a frequency of 10 Hz. a. What is the maximum electric field strength at a point...

A 5.0-cm-diameter coil has 20 turns and a resistance of 0.50 . A magnetic field perpendicular to the coil is B = 0.020t + 0.010t 2 , where B is in tesla and t is in seconds. a. Find an expression for...

FIGURE EX30.18 shows the current as a function of time through a 20-cm-long, 4.0-cm-diameter solenoid with 400 turns. Draw a graph of the induced electric field strength as a function of time at a...

FIGURE EX31.1 shows the electric and magnetic field in frame A. A rocket in frame B travels parallel to one of the axes of the A coordinate system. Along which axis must the rocket travel, and in...

A 10-cm-diameter parallel-plate capacitor has a 1.0 mm spacing. The electric field between the plates is increasing at the rate 1.0 10 6 V/m s. What is the magnetic field strength (a) On the axis,...

The electric field of an electromagnetic wave in a vacuum is E y = (20.0 V/m) cos [(6.28 10 8 )x - t], where x is in m and t is in s. What are the waves (a) Wavelength, (b) Frequency, (c) Magnetic...

A helium-neon laser emits a 1.0-mm-diameter laser beam with a power of 1.0 mW. What are the amplitudes of the electric and magnetic fields of the light wave?

A 200 mW vertically polarized laser beam passes through a polarizing filter whose axis is 35 from horizontal. What is the power of the laser beam as it emerges from the filter?

A proton is fired with a speed of 1.0 10 6 m/s through the parallel-plate capacitor shown in FIGURE P31.31. The capacitor??s electric field is E = (1.0 10 5 V/m, down). a. What magnetic field B,...

A point source of light illuminates an aperture 2.0 m away. A 12.0-cm-wide bright patch of light appears on a screen 1.0 m behind the aperture. How wide is the aperture?

a. How long (in ns) does it take light to travel 1.0 m in vacuum? b. What distance does light travel in water, glass, and cubic zirconia during the time that it travels 1.0 m in vacuum?

A fish in an aquarium with flat sides looks out at a hungry cat. To the fish, does the distance to the cat appear to be less than the actual distance, the same as the actual distance, or more than...

A light ray leaves point A in FIGURE EX34.5, reflects from the mirror, and reaches point B. How far below the top edge does the ray strike the mirror? 5 cm 10 cm A Mirror 15 cm 15 cm FIGURE EX34.5

At what angle Ï should the laser beam in FIGURE EX34.7 be aimed at the mirrored ceiling in order to hit the midpoint of the far wall? Mirror 3.0 m Wall Laser beam FIGURE EX34.7 5.0 m

When you look at your reflection in the bowl of a spoon, it is upside down. Why?

A biologist keeps a specimen of his favorite beetle embedded in a cube of polystyrene plastic. The hapless bug appears to be 2.0 cm within the plastic. What is the beetles actual distance beneath the...

To a fish in an aquarium, the 4.00-mm-thick walls appear to be only 3.50 mm thick. What is the index of refraction of the walls?

Find the focal length of the meniscus polystyrene plastic lens in FIGURE EX34.28. 30 cm 40 cm Meniscus lens FIGURE EX34.28

A 1.0-cm-tall object is 75 cm in front of a converging lens that has a 30 cm focal length. a. Use ray tracing to find the position and height of the image. To do this accurately, use a ruler or paper...

A 1.0-cm-tall object is 20 cm in front of a convex mirror that has a -60 cm focal length. Calculate the position and height of the image. State whether the image is in front of or behind the mirror,...

A wildlife photographer with a 200-mm-focal-length telephoto lens on his camera is taking a picture of a rhinoceros that is 100 m away. Suddenly, the rhino starts charging straight toward the...

Some electro-optic materials can change their index of refraction in response to an applied voltage. Suppose a planoconvex lens (flat on one side, a 15.0 cm radius of curvature on the other), made...

An astronaut is exploring an unknown planet when she accidentally drops an oxygen canister into a 1.50-m-deep pool filled with an unknown liquid. Although she dropped the canister 21 cm from the...

A 4.0-m-wide swimming pool is filled to the top. The bottom of the pool becomes completely shaded in the afternoon when the sun is 20 above the horizon. How deep is the pool?

A horizontal meter stick is centered at the bottom of a 3.0 m-deep, 3.0-m-wide pool of water. How long does the meter stick appear to be as you look at it from the edge of the pool?

Water accelerated by a nozzle to 35 m/s strikes the vertical back surface of a cart moving horizontally at a constant velocity of 10 m/s in the flow direction. The mass flow rate of water through the...

Define the resultant hydrostatic force acting on a submerged surface, and the center of pressure.

For a gate width of 2 m into the paper (Fig. P11??14), determine the force required to hold the gate ABC at its location. 45 SG = 0.86 50 cm A Hinge 10 cm SG = 1.23 80 cm B 40 cm LL

A water trough of semicircular cross section of radius 0.6 m consists of two symmetric parts hinged to each other at the bottom, as shown in Fig. P11??20. The two parts are held together by a cable...

The volume and the average density of an irregularly shaped body are to be determined by using a spring scale. The body weighs 7200 N in air and 4790 N in water. Determine the volume and the density...

The two most prominent wavelengths in the light emitted by a hydrogen discharge lamp are 656 nm (red) and 486 nm (blue). Light from a hydrogen lamp illuminates a diffraction grating with 500...

Calculate the energy (in MeV) released in the triplealpha process 3 4 He 12 C.

The center of the galaxy is filled with low-density hydrogen gas that scatters light rays. An astronomer wants to take a picture of the center of the galaxy. Will the view be better using ultraviolet...

A 2.0-m-tall man is 10 m in front of a camera with a 15 mm-focal-length lens. How tall is his image on the detector?

A camera takes a properly exposed photo with a 3.0-mm-diameter aperture and a shutter speed of 1/125 s. What is the appropriate aperture diameter for a 1/500 s shutter speed?

Ramon has contact lenses with the prescription +2.0 D. a. What eye condition does Ramon have? b. What is his near point without the lenses?

Ellen wears eyeglasses with the prescription -1.0 D. a. What eye condition does Ellen have? b. What is her far point without the glasses?

What is the f-number of a relaxed eye with the pupil fully dilated to 8.0 mm? Model the eye as a single lens 2.4 cm in front of the retina.

A magnifier has a magnification of 5. How far from the lens should an object be held so that its image is seen at the near-point distance of 25 cm? Assume that your eye is immediately behind the lens.

A reflecting telescope is built with a 20-cm-diameter mirror having a 1.00 m focal length. It is used with a 10 eyepiece. What are (a) The magnificatio (b) The f-number of the telescope?

A sheet of glass has n red = 1.52 and n violet = 1.55. A narrow beam of white light is incident on the glass at 30. What is the angular spread of the light inside the glass?

Two lightbulbs are 1.0 m apart. From what distance can these lightbulbs be marginally resolved by a small telescope with a 4.0-cm-diameter objective lens? Assume that the lens is diffraction limited...

A 1.0-cm-tall object is 110 cm from a screen. A diverging lens with focal length -20 cm is 20 cm in front of the object. What are the focal length and distance from the screen of a second lens that...

Yang can focus on objects 150 cm away with a relaxed eye. With full accommodation, she can focus on objects 20 cm away. After her eyesight is corrected for distance vision, what will her near point...

Youve been asked to build a telescope from a 2.0 magnifying lens and a 5.0 magnifying lens. a. What is the maximum magnification you can achieve? b. Which lens should be used as the objective?...

The lens shown in FIGURE CP35.49 is called an achromatic doublet, meaning that it has no chromatic aberration. The left side is flat, and all other surfaces have radii of curvature R. a. For parallel...

In the earths reference frame, a tree is at the origin and a pole is at x = 30 km. Lightning strikes both the tree and the pole at t = 10 s. The lightning strikes are observed by a rocket traveling...

A rocket cruising past earth at 0.80c shoots a bullet out the back door, opposite the rockets motion, at 0.90c relative to the rocket. What is the bullets speed, as a fraction of c, relative to the...

What is the speed, in m/s, of a proton after being accelerated from rest through a 50 10 6 V potential difference?

What is the total energy, in MeV, of a. A proton traveling at 99% of the speed of light? b. An electron traveling at 99% of the speed of light?

Rutherford studied alpha particles using the crossed-field technique Thomson had invented to study cathode rays. Assuming that v alpha v cathode ray (which turns out to be true), would the...

An experiment was performed in which neutrons were shot through two slits spaced 0.10 mm apart and detected 3.5 m behind the slits. FIGURE P38.49 shows the detector output. Notice the 100...

A ruby laser emits an intense pulse of light that lasts a mere 10 ns. The light has a wavelength of 690 nm, and each pulse has an energy of 500 mJ. a. How many photons are emitted in each pulse? b....

Electron 1 is accelerated from rest through a potential difference of 100 V. Electron 2 is accelerated from rest through a potential difference of 200 V. Afterward, which electron has the larger de...

Metal 1 has a larger work function than metal 2. Both are illuminated with the same short-wavelength ultraviolet light. Do photoelectrons from metal 1 have a higher speed, a lower speed, or the same...

A proton confined in a one-dimensional box emits a 2.0 MeV gamma-ray photon in a quantum jump from n = 2 to n = 1. What is the length of the box?