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university physics

Questions and Answers of University Physics

If magnetic monopoles existed, the right-hand side of Eq. (29.20) would include a term proportional to the current of magnetic monopoles. Suppose a steady monopole current is moving in a long
Match the mathematical statements of Maxwell’s equations as given in Section 29.7 to these verbal statements.(a) Closed electric field lines are evidently produced only by changing magnetic
Your physics study partner asks you to consider a parallel plate capacitor that has a dielectric completely filling the volume between the plates. He then claims that Eqs. (29.13) and (29.14) show
Two closed loops A and C are close to a long wire carrying a current I (Fig. E29.17).(a) Find the direction (clockwise or counterclockwise) of the current induced in each loop if I is steadily
Can one have a displacement current as well as a conduction current within a conductor? Explain.
Does Faraday’s law say that a large magnetic flux induces a large emf in a coil? Explain.
Does Lenz’s law say that the induced current in a metal loop always flows to oppose the magnetic flux through that loop? Explain.
Small one-cylinder gasoline engines sometimes use a device called a magneto to supply current to the spark plug. A permanent magnet is attached to the flywheel, and a stationary coil is mounted
A metal ring is oriented with the plane of its area perpendicular to a spatially uniform magnetic field that increases at a steady rate. If the radius of the ring is doubled, by what factor do(a) The
In many magnetic resonance imaging (MRI) systems, the magnetic field is produced by a superconducting magnet that must be kept cooled below the superconducting transition temperature. If the
In the situation shown in Fig. 29.18, would it be appropriate to ask how much energy an electron gains during a complete trip around the wire loop with current I'? Would it be appropriate to ask what
Discusses the external force that must be applied to the slidewire to move it at constant speed. If there were a break in the left-hand end of the U-shaped conductor, how much force would be needed
A square conducting loop is in a region of uniform, constant magnetic field. Can the loop be rotated about an axis along one side and no emf be induced in the loop? Discuss, in terms of the
A metal rectangle is close to a long, straight, current-carrying wire, with two of its sides parallel to the wire. If the current in the long wire is decreasing, is the rectangle repelled by or
Consider the situation in Exercise 29.21. In part (a), find the direction of the force that the large circuit exerts on the small one. Explain how this result is consistent with Lenz€™s
The current in the long, straight wire AB shown in Fig. E29.7 is upward and is increasing steadily at a rate di/dt.(a) At an instant when the current is i, what are the magnitude and direction of the
An airplane is in level flight over Antarctica, where the magnetic field of the earth is mostly directed upward away from the ground. As viewed by a passenger facing toward the front of the plane, is
A student asserted that if a permanent magnet is dropped down a vertical copper pipe, it eventually reaches a terminal velocity even if there is no air resistance. Why should this be? Or should it?
A long, straight conductor passes through the center of a metal ring, perpendicular to its plane. If the current in the conductor increases, is a current induced in the ring? Explain.
Two circular loops lie side by side in the same plane. One is connected to a source that supplies an increasing current; the other is a simple closed ring. Is the induced current in the ring in the
In Fig. 29.8, if the angular speed v of the loop is doubled, then the frequency with which the induced current changes direction doubles, and the maximum emf also doubles. Why? Does the torque
A sheet of copper is placed between the poles of an electromagnet with the magnetic field perpendicular to the sheet. When the sheet is pulled out, a considerable force is required, and the force
The solenoid is removed from the enclosure and then used in a location where the earth’s magnetic field is 50 µT and points horizontally. A sample of bacteria is placed in the center of the
To use a larger sample, the experimenters construct a solenoid that has the same length, type of wire, and loop spacing but twice the diameter of the original. How does the maximum possible magnetic
What current is needed in the wire so that the magnetic field experienced by the bacteria has a magnitude of 150 µT?(a) 0.095 A;(b) 0.12 A;(c) 0.30 A;(d) 14 A.Some types of bacteria contain chains
An electric bus operates by drawing direct current from two parallel overhead cables, at a potential difference of 600 V, and spaced 55 cm apart. When the power input to the bus’s motor is at its
Calculate the magnitude and direction of the magnetic field at point P due to the current in the semicircular section of wire shown in Fig. E28.34.Figure e28.34 R P
The magnetic field around the head has been measured to be approximately 3.0 × 10-8 G. Although the currents that cause this field are quite complicated, we can get a rough estimate of their size by
A cylinder of iron is placed so that it is free to rotate around its axis. Initially the cylinder is at rest, and a magnetic field is applied to the cylinder so that it is magnetized in a direction
The magnetic susceptibility of paramagnetic materials is quite strongly temperature dependent, but that of diamagnetic materials is nearly independent of temperature. Why the difference?
What features of atomic structure determine whether an element is diamagnetic or paramagnetic? Explain.
If a magnet is suspended over a container of liquid air, it attracts droplets to its poles. The droplets contain only liquid oxygen; even though nitrogen is the primary constituent of air, it is not
Why should the permeability of a paramagnetic material be expected to decrease with increasing temperature?
Show that the units A ∙ m2 and J/T for the Bohr magneton are equivalent.
A metal ring carries a current that causes a magnetic field B0 at the center of the ring and a field B at point P a distance x from the center along the axis of the ring. If the radius of the ring is
A square wire loop 10.0 cm on each side carries a clockwise current of 8.00 A. Find the magnitude and direction of the magnetic field at its center due to the four 1.20-mm wire segments at the
In the circuit shown in Fig. Q28.13, when switch S is suddenly closed, the wire L is pulled toward the lower wire carrying currentI. Which (a or b) is the positive terminal of the battery? How
Two very long, parallel wires carry equal currents in opposite directions.(a) Is there any place that their magnetic fields completely cancel? If so, where? If not, why not?(b) How would the answer
Magnetic field lines never have a beginning or an end. Use this to explain why it is reasonable for the field of an ideal toroidal solenoid to be confined entirely to its interior, while a straight
What are the relative advantages and disadvantages of Ampere’s law and the law of Biot and Savart for practical calculations of magnetic fields?
A current was sent through a helical coil spring. The spring contracted, as though it had been compressed. Why?
Two concentric, coplanar, circular loops of wire of different diameter carry currents in the same direction. Describe the nature of the force exerted on the inner loop by the outer loop and on the
A negative charge q = -3.60 × 10-6 C is located at the origin and has velocity v̅(vector) = (7.50 × 104 m/s)î + (-4.90 × 104 m/s)ĵ. At this instant what are the magnitude and direction of the
In deriving the force on one of the long, current-carrying conductors in Section 28.4, why did we use the magnetic field due to only one of the conductors? That is, why didn’t we use the total
Suppose you have three long, parallel wires arranged so that in cross section they are at the corners of an equilateral triangle. Is there any way to arrange the currents so that all three wires
Pairs of conductors carrying current into or out of the power-supply components of electronic equipment are sometimes twisted together to reduce magnetic-field effects. Why does this help?
Two parallel conductors carrying current in the same direction attract each other. If they are permitted to move toward each other, the forces of attraction do work. From where does the energy
The text discussed the magnetic field of an infinitely long, straight conductor carrying a current. Of course, there is no such thing as an infinitely long anything. How do you decide whether a
Streams of charged particles emitted from the sun during periods of solar activity create a disturbance in the earth’s magnetic field. How does this happen?
A topic of current interest in physics research is the search (thus far unsuccessful) for an isolated magnetic pole, or magnetic monopole. If such an entity were found, how could it be recognized?
The large magnetic fields used in MRI can produce forces on electric currents within the human body. This effect has been proposed as a possible method for imaging €œbiocurrents€
Which of following elements is a candidate for MRI?(a) 12C6;(b) 16O8;(c) 40Ca20;(d) 31P15.Magnetic resonance imaging (MRI) is a powerful imaging method that, unlike x-ray imaging, allows sharp images
The lower end of the thin uniform rod in Fig. P27.74 is attached to the floor by a frictionless hinge at point P. The rod has mass 0.0840 kg and length 18.0 cm and is in a uniform magnetic field B =
A uniform bar has mass 0.0120 kg and is 30.0 cm long. It pivots without friction about an axis perpendicular to the bar at point a (Fig. P27.72). The gravitational force on the bar acts in the
A uniform bar of length L carries a current I in the direction from point a to point b (Fig. P27.70). The bar is in a uniform magnetic field that is directed into the page. Consider the torque about
The amount of meat in prehistoric diets can be determined by measuring the ratio of the isotopes 15N to 14N in bone from human remains. Carnivores concentrate 15N, so this ratio tells archaeologists
Singly ionized (one electron removed) atoms are accelerated and then passed through a velocity selector consisting of perpendicular electric and magnetic fields. The electric field is 155 V/m and the
In a cyclotron, the orbital radius of protons with energy 300 keV is 16.0 cm. You are redesigning the cyclotron to be used instead for alpha particles with energy 300 keV. An alpha particle has
Cyclotrons are widely used in nuclear medicine for producing short-lived radioactive isotopes. These cyclotrons typically accelerate H- (the hydride ion, which has one proton and two electrons) to an
Hall-effect voltages are much greater for relatively poor conductors (such as germanium) than for good conductors (such as copper), for comparable currents, fields, and dimensions. Why?
In a Hall-effect experiment, is it possible that no transverse potential difference will be observed? Under what circumstances might this happen?
When the polarity of the voltage applied to a dc motor is reversed, the direction of motion does not reverse. Why not? How could the direction of motion be reversed?
The magnetic force acting on a charged particle can never do work because at every instant the force is perpendicular to the velocity. The torque exerted by a magnetic field can do work on a current
Could an accelerator be built in which all the forces on the particles, for steering and for increasing speed, are magnetic forces? Why or why not?
A student claims that if lightning strikes a metal flagpole, the force exerted by the earth’s magnetic field on the current in the pole can be large enough to bend it. Typical lightning currents
A horizontal rectangular surface has dimensions 2.80 cm by 3.20 cm and is in a uniform magnetic field that is directed at an angle of 30.0° above the horizontal. What must the magnitude of the
Each of the lettered points at the corners of the cube in Fig. Q27.12 represents a positive charge q moving with a velocity of magnitude v in the direction indicated. The region in the figure is in a
Several charges enter a uniform magnetic field directed into the page. (a) What path would a positive charge q moving with a velocity of magnitude v follow through the field?(b) What path would
A flat, square surface with side length 3.40 cm is in the xy-plane at z = 0. Calculate the magnitude of the flux through this surface produced by a magnetic field B̅(vector) = (0.200 T)î (0.300
A loose, floppy loop of wire is carrying current I. The loop of wire is placed on a horizontal table in a uniform magnetic field B̅(vector) perpendicular to the plane of the table. This causes the
How could the direction of a magnetic field be determined by making only qualitative observations of the magnetic force on a straight wire carrying a current?
How might a loop of wire carrying a current be used as a compass? Could such a compass distinguish between north and south? Why or why not?
A charged particle moves through a region of space with constant velocity (magnitude and direction). If the external magnetic field is zero in this region, can you conclude that the external electric
If the magnetic force does no work on a charged particle, how can it have any effect on the particle’s motion? Are there other examples of forces that do no work but have a significant effect on a
A charged particle is fired into a cubical region of space where there is a uniform magnetic field. Outside this region, there is no magnetic field. Is it possible that the particle will remain
The magnetic force on a moving charged particle is always perpendicular to the magnetic field B̅(vector). Is the trajectory of a moving charged particle always perpendicular to the magnetic field
Section 27.2 describes a procedure for finding the direction of the magnetic force using your right hand. If you use the same procedure, but with your left hand, will you get the correct direction
At any point in space, the electric field E̅(vector) is defined to be in the direction of the electric force on a positively charged particle at that point. Why don’t we similarly define the
Can a charged particle move through a magnetic field without experiencing any force? If so, how? If not, why not?
Cell membranes across a wide variety of organisms have a capacitance per unit area of 1 µF/cm2. For the electrical signal in a nerve to propagate down the axon, the charge on the membrane
In a simple model of an axon conducting a nerve signal, ions move across the cell membrane through open ion channels, which act as purely resistive elements. If a typical current density (current per
Assume that a typical open ion channel spanning an axon’s membrane has a resistance of 1 × 1011 Ω. We can model this ion channel, with its pore, as a 12-nm-long cylinder of radius 0.3 nm. What is
The electronics supply company where you work has two different resistors, R1 and R2, in its inventory, and you must measure the values of their resistances. Unfortunately, stock is low, and all
You set up the circuit shown in Fig. 26.20, where C = 5.00 Ã— 10-6F. At time t = 0, you close the switch and then measure the charge q on the capacitor as a function of the current i in
You set up the circuit shown in Fig. 26.22a, where R = 196 Î©. You close the switch at time t = 0 and measure the magnitude i of the current in the resistor R as a function of time t since
A 6.00 µF capacitor that is initially uncharged is connected in series with a 5.00 Ω resistor and an emf source with ε = 50.0 V and negligible internal resistance. At the instant when the resistor
In the circuit shown in Fig. P26.64, Îµ = 24.0 V, R1= 6.00 Î©, R3= 12.0 Î©, and R2can vary between 3.00 Î© and 24.0 Î©. For what value of R2is
In Fig. P26.54, the battery has negligible internal resistance and Îµ = 48.0 V. R1= R2= 4.00 Î© and R4= 3.00 Î©. What must the resistance R3be for the resistor
You connect a battery, resistor, and capacitor as in Fig. 26.20a, where R = 12.0 Î© and C = 5.00 Ã— 10-6F. The switch S is closed at t = 0. When the current in the circuit has
A galvanometer having a resistance of 25.0 Ω has a 1.00 Ω shunt resistance installed to convert it to an ammeter. It is then used to measure the current in a circuit consisting of a 15.0 Ω
When a capacitor, battery, and resistor are connected in series, does the resistor affect the maximum charge stored on the capacitor? Why or why not? What purpose does the resistor serve?
For very large resistances it is easy to construct R-C circuits that have time constants of several seconds or minutes. How might this fact be used to measure very large resistances, those that are
Verify that the time constant RC has units of time.
In the circuit shown in Fig. E26.18, Îµ = 36.0 V, R1= 4.00 Î©, R2= 6.00 Î©, and R3= 3.00 Î©.(a) What is the potential difference Vab between points a and
Will the capacitors in the circuits shown in Fig. Q26.18 charge at the same rate when the switch S is closed? If not, in which circuit will the capacitors charge more rapidly? Explain.Figure Q26.18
The emf of a flashlight battery is roughly constant with time, but its internal resistance increases with age and use. What sort of meter should be used to test the freshness of a battery?
Identical light bulbs A, B, and C are connected as shown in Fig. Q26.16. When the switch S is closed, bulb C goes out. Explain why. What happens to the brightness of bulbs A and B? Explain.Figure
In a two-cell flashlight, the batteries are usually connected in series. Why not connect them in parallel? What possible advantage could there be in connecting several identical batteries in parallel?
The battery in the circuit shown in Fig. Q26.14 has no internal resistance. After you close the switch S, will the brightness of bulb B1increase, decrease, or stay the same? Figure Q26.14 B1 B2
Is it possible to connect resistors together in a way that cannot be reduced to some combination of series and parallel combinations? If so, give examples. If not, state why not.

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