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physics
physics scientists and engineers
Questions and Answers of
Physics Scientists and Engineers
A proton moves in the magnetic field B = 0.50 î T with a speed of 1.0 × 107m/s in the directions shown in FIGURE EX29.26. For each, what is magnetic force F on the proton? Give your answers in
Magnetic resonance imaging needs a magnetic field strength of 1.5 T. The solenoid is 1.8 m long and 75 cm in diameter. It is tightly wound with a single layer of 2.0-mm-diameter superconducting wire.
What is the line integral of B between points i and f in FIGURE EX29.24? 1.0 cm -Integration path 2.0 A 6.0 cm FIGURE EX29.24
The value of the line integral of Bu around the closed path in FIGURE EX29.23 is 1.38 × 10-5T m. What are the direction (in or out of the page) and magnitude of I3? 1 = 18 AO O 1, = 20 A 1= 12 A 13
The value of the line integral of B around the closed path in FIGURE EX29.22 is 3.77 × 10-6T m. What is I3? O I3 1 = 2.0 A FIGURE EX29.22
What is the line integral of B between points i and f in FIGURE EX29.20? у (cm) 50- Integration path В 3 0.10 T -x (cm) 50 FIGURE EX29.20
The earth’s magnetic dipole moment is 8.0 × 1022 A m2.a. What is the magnetic field strength on the surface of the earth at the earth’s north magnetic pole? How does this compare to the value in
What are the magnetic fields at points a to c in FIGURE EX29.12? Give your answers as vectors. у (сm) 10 A 1 Long wires a b -x (cm) 2 -1 10 A FIGURE EX29.12
A wire carries current I into the junction shown in FIGURE EX29.13. What is the magnetic field at the dot? Identical wires d FIGURE EX29.13
The on-axis magnetic field strength 10 cm from a small bar magnet is 5.0 μT.a. What is the bar magnet’s magnetic dipole moment?b. What is the on-axis field strength 15 cm from the magnet?
Point A in FIGURE EX29.15 is 2.0 mm from the wire. What is the magnetic field strength at point A? You can assume that the wire is very long and that all other wires are too far away to contribute to
What are the magnetic field strength and direction at points a to c in FIGURE EX29.14? a. ]2.0 cm 10 A b. 4.0 cm 10 A [2.0 cm c. FIGURE EX29.14
Give a step-by-step explanation, using both words and pictures, of how a permanent magnet can pick up a piece of non-magnetized iron.
The magnetic field at the center of a 1.0-cm-diameter loop is 2.5 mT.a. What is the current in the loop?b. A long straight wire carries the same current you found in part a. At what distance from the
The south pole of a bar magnet is brought toward the current loop of FIGURE Q29.11. Does the bar magnet attract, repel, or have no effect on the loop? Explain. FIGURE Q29.11 %24
A biophysics experiment uses a very sensitive magnetic field probe to determine the current associated with a nerve impulse traveling along an axon. If the peak field strength 1.0 mm from an axon is
You have a horizontal cathode-ray tube (CRT) for which the controls have been adjusted such that the electron beam should make a single spot of light exactly in the center of the screen. You observe,
Determine the magnetic field direction that causes the charged particles shown in FIGURE Q29.9 to experience the indicated magnetic force. a. b. Fout of page
The element niobium, which is a metal, is a superconductor (i.e., no electrical resistance) at temperatures below 9 K. However, the superconductivity is destroyed if the magnetic field at the surface
What currents are needed to generate the magnetic field strengths of Table 29.1 at a point 1.0 cm from a long, straight wire?Table 29.1Field source......................Field strength (T)Surface of
What is the initial direction of deflection for the charged particles entering the magnetic fields shown in FIGURE Q29.6? a. b. x x x x x x x x x x x x
What is the magnetic field at the position of the dot in FIGURE EX29.6? Give your answer as a vector. y 1.0 cm 2.0 x 10" m/s 1.0 cm Proton FIGURE EX29.6
What is the initial direction of deflection for the charged particles entering the magnetic fields shown in FIGURE Q29.7? a. b.
What is the magnetic field at the position of the dot in FIGURE EX29.5? Give your answer as a vector. y (cm) 2.0 x 10' m/s 1 +) Proton -x (cm) -1 1 -1- FIGURE EX29.5
What is the current direction in the wire of FIGURE Q29.5? Explain. FIGURE Q29.5 x x x x
An electron moves along the z-axis with vz = 2.0 × 107 m/s. As it passes the origin, what are the strength and direction of the magnetic field at the (x, y, z) positions(a) (1 cm, 0 cm, 0 cm),(b) (0
What is the current direction in the wire of FIGURE Q29.4? Explain. FIGURE Q29.4
A proton moves along the x-axis with vx = 1.0 × 107 m/s. As it passes the origin, what are the strength and direction of the magnetic field at the (x, y, z) positions(a) (1 cm, 0 cm, 0 cm),(b) (0
You have two electrically neutral metal cylinders that exert strong attractive forces on each other. You have no other metal objects. Can you determine if both of the cylinders are magnets, or if one
Points 1 and 2 in FIGURE EX29.2 are the same distance from the wires as the point where B = 2.0 mT. What are the strength and direction of B at points 1 and 2? 1. I 2.0 mT out of page FIGURE EX29.2
The lightweight glass sphere in FIGURE Q29.1 hangs by a thread. The north pole of a bar magnet is brought near the sphere. a. Suppose the sphere is electrically neutral. Is it attracted to, repelled
What is the magnetic field strength at points 2 to 4 in FIGURE EX29.1? Assume that the wires overlap closely at 2 and 3, that each point is the same distance from nearby wires, and that all other
You’ve decided to protect your house by placing a 5.0-m-tall iron lightning rod next to the house. The top is sharpened to a point and the bottom is in good contact with the ground. From your
What is the current through the 20 Ω resistor in FIGURE P28.61? 20 : 20 Ω 5Ω 100 V FIGURE P28.61
The electron drift speed in a 1.0-mm-diameter gold wire is 5.0 × 10-5 m/s. How long does it take 1 mole of electrons to flow through a cross section of the wire?
The total amount of charge in coulombs that has entered a wire at time t is given by the expression Q = 4t - t2, where t is in seconds and t ≥ 0.a. Find an expression for the current in the wire at
Electrons flow through a 1.6-mm-diameter aluminum wire at 2.0 × 10-4 m/s. How many electrons move through a cross section of the wire each day?
a. How many conduction electrons are there in a 1.0-mm diameter gold wire that is 10 cm long?b. How far must the sea of electrons in the wire move to deliver -32 nC of charge to an electrode?
A 1.5 V flashlight battery is connected to a wire with a resistance of 3.0 Ω. Figure P27.69 shows the batterys potential difference as a function of time. What is the total
The capacitor in FIGURE P28.73 begins to charge after the switch closes at t = 0 s. a. What is ΔVC a very long time after the switch has closed?b. What is Qmax in terms of Ԑ, R, and C?c. In this
A circuit you’re using discharges a 20 μF capacitor through an unknown resistor. After charging the capacitor, you close a switch at t = 0 s and then monitor the resistor current with an ammeter.
For what emf E does the 200 Ω resistor in FIGURE P28.64 dissipate no power? Should the emf be oriented with its positive terminal at the top or at the bottom? 100 0 300 N 50 V :200 N E? FIGURE
For the circuit shown in FIGURE P28.59, find the current through and the potential difference across each resistor. Place your results in a table for ease of reading. 20 24 VE 80 120 12Ω FIGURE
What is the equivalent resistance between points a and b in FIGURE EX28.25? a 60 Ω40 Ω 210 60 N60 N 45 Ω b FIGURE EX28.25
What is the magnitude of the potential difference across each resistor in FIGURE EX28.6? 40 N 50 V 60 N ww FIGURE EX28.6
a. What are the magnitude and direction of the current in the 10 Ω resistor in FIGURE EX28.4? b. Draw a graph of the potential as a function of the distance traveled through the circuit, traveling
Draw a circuit diagram for the circuit of FIGURE EX28.2. 100 0 50n 12 V 10 uF FIGURE EX28.2
The wire is broken on the right side of the circuit in FIGURE Q28.3. What is the potential difference V1- V2between points 1 and 2? Explain. 1 3 V. 2 FIGURE Q28.3
In FIGURE EX28.3, what is the magnitude of the current in the wire to the right of the junction? Does the charge in this wire flow to the right or to the left? 4 V - 1 20 50Š15 V FIGURE EX28.3
The circuit of FIGURE Q28.4 has two resistors, with R1> R2. Which of the two resistors dissipates the larger amount of power? Explain. R R2 FIGURE Q28.4
The circuit of FIGURE Q28.5 has two resistors, with R1> R2. Which of the two resistors dissipates the larger amount of power? Explain. R2 R1 FIGURE Q28.5 ww-
a. What are the magnitude and direction of the current in the 18 Ω resistor in FIGURE EX28.5? b. Draw a graph of the potential as a function of the distance traveled through the circuit, traveling
Rank in order, from largest to smallest, the powers Pato Pddissipated by the four resistors in FIGURE Q28.6. 2 Δν 2 Δν Δν ww ww 2R 2R a FIGURE Q28.6
Are the two resistors in FIGURE Q28.7 in series or in parallel? Explain. ww FIGURE Q28.7
A 60 W light-bulb and a 100 W lightbulb are placed in the circuit shown in FIGURE EX28.9. Both bulbs are glowing.a. Which bulb is brighter? Or are they equally bright?b. Calculate the power
What is the resistance of a 1500 W (120 V) hair dryer? What is the current in the hair dryer when it is used?
A battery with internal resistance r is connected to a load resistance R. If R is increased, does the terminal voltage of the battery increase, decrease, or stay the same? Explain.
How much power is dissipated by each resistor in FIGURE EX28.8? R = 12 N 12 V R = 18 0 FIGURE EX28.8 ww
Initially bulbs A and B in FIGURE Q28.9 are glowing. What happens to each bulb if the switch is closed? Does it get brighter, stay the same, get dimmer, or go out? Explain. A B FIGURE Q28.9
Bulbs A, B, and C in FIGURE Q28.10 are identical, and all are glowing. a. Rank in order, from most to least, the brightnesses of the three bulbs. Explain.b. Suppose a wire is connected between points
The five identical bulbs in FIGURE EX28.10 are all glowing.The battery is ideal. What is the order of brightness of the bulbs, from brightest to dimmest? Some may be equal. A. P = S > Q = R = TB.
Bulbs A and B in FIGURE Q28.11 are identical, and both are glowing. Bulb B is removed from its socket. Does the potential difference ÎV12between points 1 and 2 increase, stay the same,
The five identical bulbs in FIGURE EX28.11 are all glowing.The battery is ideal. What is the order of brightness of the bulbs, from brightest to dimmest? Some may be equal. A. P = T > Q = R = SB.
Bulbs A and B in FIGURE Q28.12 are identical, and both are glowing. What happens to each bulb when the switch is closed?Does its brightness increase, stay the same, decrease, or go out? Explain.
1 kWh is how many joules?
A typical American family uses 1000 kWh of electricity a month.a. What is the average current in the 120 V power line to the house?b. On average, what is the resistance of a household?
The battery in FIGURE EX28.17 is short-circuited by an ideal ammeter having zero resistance. a. What is the battery??s internal resistance?b. How much power is dissipated inside the battery? A) 2.3 A
A waterbed heater uses 450 W of power. It is on 25% of the time, off 75%. What is the annual cost of electricity at a billing rate of $0.12/kWh?
FIGURE Q28.13 shows the voltage as a function of time of a capacitor as it is discharged (separately) through three different resistors.Rank in order, from largest to smallest, the values of the
A standard 100 W (120 V) lightbulb contains a 7.0-cm-long tungsten filament. The high-temperature resistivity of tungsten is 9.0 × 10-7 Ω m. What is the diameter of the filament?
What is the value of resistor R in FIGURE EX28.16? AV = 5.0 V 10 0 150 R ww www- FIGURE EX28.16 I= 100 mA
The circuit in FIGURE EX28.18 is called a voltage divider.What value of R will make Vout= Vin/10? ER Va 100 n V FIGURE EX28.18
The voltage across the terminals of a 9.0 V battery is 8.5 V when the battery is connected to a 20 Ω load. What is the battery’s internal resistance?
Compared to an ideal battery, by what percentage does the battery??s internal resistance reduce the potential difference across the 20 Ω resistor in FIGURE EX28.20? 10 N 10 15 V 20 Ω FIGURE EX28.20
Two of the three resistors in FIGURE EX28.22 are unknown but equal. The total resistance between points a and b is 75 Ω. What is the value of R? R ww- 200 Ω ww a R ww FIGURE EX28.22
A variable resistor R is connected across the terminals of a battery. FIGURE EX28.21 shows the current in the circuit as R is varied. What are the emf and internal resistance of the battery? I (A) 6-
What is the value of resistor R in FIGURE EX28.23? 2A AV = 8 V 10n :150 R FIGURE EX28.23
A metal wire of resistance R is cut into two pieces of equal length. The two pieces are connected together side by side. What is the resistance of the two connected wires?
What is the equivalent resistance between points a and b in FIGURE EX28.26? 10 55 Ω 40 N 200 10Ω FIGURE EX28.26 ww
What is the equivalent resistance between points a and b in FIGURE EX28.27? 100 Ω 100 Ω ww 100 n WW ww- ww 100 0 b -ww a 100 N Lww 100 N ww FIGURE EX28.27
What is the equivalent resistance between points a and b in FIGURE EX28.28? In Figure EX 28.28 100 Ω 100 Ω 100 Ω wwwwww 100 Ω 100 Ω b wwww 100 N ww FIGURE EX28.28
The 10 Ω resistor in the figure is dissipating 40 W of power. (Figure 1) How much power is the 20Ω resistor dissipating? 10 0 50 ww- FIGURE EX28.29 20 1
In FIGURE EX28.30, what is the value of the potential at points a and b? 20 ww 9 V 6V b FIGURE EX28.30
In FIGURE EX28.31, what is the value of the potential at points a and b? + 15 V E5V FIGURE EX28.31
Show that the product RC has units of s.
What is the time constant for the discharge of the capacitors in FIGURE EX28.33? 1 kn 2 µF 2 µF 1 kN FIGURE EX28.33
A lightbulb is in series with a 2.0 Ω resistor. The lightbulb dissipates 10 W when this series circuit is connected to a 9.0 V battery. What is the current through the lightbulb? There are two
What is the time constant for the discharge of the capacitors in FIGURE EX28.34? 2 µF 1 kn kn 2 µF FIGURE EX28.34
The switch in FIGURE EX28.36 has been in position a for a long time. It is changed to position b at t = 0 s. What are the charge Q on the capacitor and the current I through the resistor (a)
A 10 μF capacitor initially charged to 20 μC is discharged through a 1.0 kΩ resistor. How long does it take to reduce the capacitor’s charge to 10 μC?
What value resistor will discharge a 1.0 μF capacitor to 10% of its initial charge in 2.0 ms?
A capacitor is discharged through a 100 Ω resistor. The discharge current decreases to 25% of its initial value in 2.5 ms.What is the value of the capacitor?
It seems hard to justify spending $4.00 for a compact fluorescent lightbulb when an ordinary incandescent bulb costs 50¢. To see if this makes sense, compare a 60 W incandescent bulb lasting 1000
A refrigerator has a 1000 W compressor, but the compressor runs only 20% of the time.If electricity costs $0.10/kWh, what is the monthly (30 day) cost of running the refrigerator?
Two 75 W (120 V) lightbulbs are wired in series, then the combination is connected to a 120 V supply. How much power is dissipated by each bulb?
An electric eel develops a 450 V potential difference between its head and tail. The eel can stun a fish or other prey by using this potential difference to drive a 0.80 A current pulse for 1.0 ms.
You have a 2.0 Ω resistor, a 3.0 Ω resistor, a 6.0 Ω resistor, and a 6.0 V battery. Draw a diagram of a circuit in which all three resistors are used and the battery delivers 9.0 W of power.
A 2.0-m-long, 1.0-mm-diameter wire has a variable resistivity given by where x is measured from one end of the wire. What is the current if this wire is connected to the terminals of a 9.0 V
What is the equivalent resistance between points a and b in FIGURE P28.45? 20 a 12Ω 69 10 0 30 FIGURE P28.45
What are the emf and internal resistance of the battery in FIGURE P28.46? Open: 1.636 A A Closed: 1.565 A 50Ω 100Ω FIGURE P28.46
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