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physics
schaums outline of college physics
Questions and Answers of
Schaums Outline Of College Physics
For the circuit of Fig. 26-6, find the potential difference from (a) A to B, (b) B to C, and (c) C to A. Notice that the current is given as 2.0 A. 6.0 V + 4.0 2 싸 2.0 A 9.02 A 동 Fig.
Find the potential difference between points-A and -B in Fig. 26- 5 if R is 0.70 Ω. Which point is at the higher potential? 3.0A 6.0V 2.02 Fig. 26-5 9.0V + R W B
Repeat Problem 26.39 if the current flows in the opposite direction and R = 0.70 Ω.Problem 26.39Find the potential difference between points-A and -B in Fig. 26- 5 if R is 0.70 Ω. Which point is at
For the circuit shown in Fig. 29-6, find the current in the 0.96-Ω resistor and the terminal voltages of the batteries. 26.0 V rj = 0.30 2 2=5.0 V 12-0.20 2 어미디어 0.96 2 싸 Fig. 29-6
In Fig. 26-5, how large must R be if the potential drop from A to B is 12 V? 3.0A A 6,0V ++ 2.092 Fig. 26-5 90V + R W 3
Find I1, I2, I3, and the potential difference between point-b to point-e in Fig. 29-8. a C 15 V 1.02 + 에이 10V 0.50 2 허이~ 3.0 V 0.10 2 에이아 Fig. 29-8 12 13 d 싸 9.52 f 1.42
As shown in Fig. 25-6, a charged particle in vacuum remains stationary between the two large horizontal charged plates. The plate separation is 2.0 cm, and m = 4.0 × 10−13 kg and q = 2.4 ×
For the network shown in Fig. 29-7, determine (a) The three currents I1, I2, and I3, and (b) The terminal voltages of the three batteries. 16.0 V 12 10.0 V 0.5 2 흙 ** 7.8 2 4.0 V 0.2 2 1.5 2 Fig.
In the circuit in Fig. 29-5, I1 = 0.20 A and R = 5.0 Ω. Find ε. e 2 f 1₂ 12.0 V 옿 싸 20 2 8.0 옿 b Fig. 29-5 R ㅆ 7.02 d A C L
A dry cell delivering 2 A has a terminal voltage of 1.41 V. What is the internal resistance of the cell if its open-circuit voltage is 1.59 V?
For the circuit shown in Fig. 29-5, the resistance R is 5.0 Ω and ε = 20 V. Find the readings of the ammeter and the voltmeter. f Is 12.0 V 싸 2.02 * 8.0 V 등 a V Fig. 29-5 가 70 2 d A 0
Refer back to Fig. 29-5. If the voltmeter reads 16.0 V (with point-b at the higher potential) and I2 = 0.20 A, find ε, R, and the ammeter reading. e 2 f 13 12.0 V 옿 싸 2.0 2 8.0 옿 b Fig.
In Fig. 29-9, R = 10.0 Ω and ɛ = 13 V. Find the readings of the ideal ammeter and voltmeter. 8.0 V 3.0 92 E a V b Fig. 29-9 ww 에 6.0 V A R
A battery has an emf of 13.2 V and an internal resistance of 24.0 mΩ. If the load current is 20.0 A, find the terminal voltage.
A storage battery has an emf of 25.0 V and an internal resistance of 0.200 Ω. Compute its terminal voltage (a) When it is delivering 8.00 A and (b) When it is being charged with 8.00 A.
A battery charger supplies a current of 10 A to charge a storage battery that has an open-circuit voltage of 5.6 V. If the voltmeter connected across the charger reads 6.8 V, what is the internal
How much electrical potential energy does a proton lose as it falls through a potential drop of 5 kV?
An electron starts from rest and falls through a potential rise of 80 V. What is its final speed?
In Fig. 29-9, the voltmeter reads 14 V (with point-a at the higher potential) and the ammeter reads 4.5 A. Find ɛ and R. 8.0 V 3.0 92 E a V b Fig. 29-9 ww 에 6.0 V A R
The potential difference between two large parallel metal plates is 120 V. The plate separation is 3.0 mm. Find the electric field between the plates.
The capacitor combination in Problem 25.54 is connected in series with the combination in Problem 25.49. What is the capacitance of this new combination?Problem 25.54Three capacitors (2.00 μF, 5.00
Compute the internal resistance of an electric generator that has an emf of 120 V and a terminal voltage of 110 V when supplying 20 A.
Compute the resistance of 180 m of silver wire having a cross section of 0.30 mm2. The resistivity of silver is 1.6 × 10−8 Ω · m.
As shown in Fig. 30-8, a particle of charge q enters a region where an electric field is uniform and directed downward. Its value E is 80 kV/m. Perpendicular to and directed into the page is a
In Fig. 30-9(a), a proton (q = +e, mp = 1.67 × 10−27 kg) is shot with a speed of 8.0 × 106 m/s at an angle of 30.0° to an x-directed field B = 0.15 T. Describe the path followed by the proton.
The charge shown in Fig. 30-7 is a proton (q = +e, mp = 1.67 × 10−27 kg) with speed 5.0 × 106 m/s. It is passing through a uniform magnetic field directed up out of the page; B is 30 G. Describe
As shown in Fig. 30-11, a loop of wire carries a current I and its plane is perpendicular to a uniform magnetic field . What are the resultant force and torque on the loop? B
A uniform magnetic field, B = 3.0 G, exists in the +x-direction. A proton (q = +e) shoots through the field in the +y-direction with a speed of 5.0 × 106 m/s. (a) Find the magnitude and direction
In Fig. 30-10, the magnetic field is up out of the page and B = 0.80 T. The wire shown carries a current of 30 A. Find the magnitude and direction of the force on a 5.0 cm length of the wire. . B I =
A proton enters a magnetic field of flux density 1.5 Wb/m2 with a velocity of 2.0 × 107 m/s at an angle of 30° with the field. Compute the magnitude of the force on the proton.
The 40-loop coil shown in Fig. 30-12 carries a current of 2.0 A in a magnetic field B = 0.25 T. Find the torque on it. How will it rotate? N B=0.25 T a 12 cm 10 cm. b C Fig. 30-12 12 A S
A cathode ray beam (i.e., an electron beam; me = 9.1 × 10−31 kg, q = −e) is bent in a circle of radius 2.0 cm by a uniform field with B = 4.5 × 10−3 T. What is the speed of the electrons?
Alpha particles (mα = 6.68 × 10−27 kg, q = +2e) are accelerated from rest through a p.d. of 1.0 kV. They then enter a magnetic field B = 0.20 T perpendicular to their direction of motion.
Two electrons, both with speed 5.0 × 106 m/s, are shot into a uniform magnetic fieldThe first is shot from the origin out along the +x-axis, and it moves in a circle that intersects the +zaxis at z
At a certain place on the planet, the Earth’s magnetic field is 5.0 × 10−5 T, directed 40° below the horizontal. Find the force per meter of length on a horizontal wire that carries a current
The square coil shown in Fig. 32-11 is 20 cm on a side and has 15 turns of wire. It is moving to the right at 3.0 m/s. Find the induced emf (magnitude and direction) in it (a) At the instant shown
A proton travels at 100 m/s in and parallel to a 2.00-T magnetic field. What is the magnitude of the force on the proton?
A proton travels at 100 m/s in and perpendicular to a 2.00-T magnetic field. What is the magnitude of the force on the proton?
Remove the resistor across the terminals of the coil on the left in Fig. 32-3. Now suppose a battery is placed across terminals A and B with its + side at B. (a) Describe the field produced by the
An ion (q = +2e) enters a magnetic field of 1.2 Wb/m2 at a speed of 2.5 × 105 m/s perpendicular to the field. Determine the force on the ion.
A flat coil with a radius of 8.0 mm has 50 turns of wire. It is placed in a magnetic field B = 0.30 T in such a way that the maximum flux goes through it. Later, it is rotated in 0.020 s to a
A proton is traveling at 200 m/s in the positive x-direction. There is a 2.00-T magnetic field in the positive y-direction. Determine the force on the proton.
Remove the resistor across the terminals of the coil on the left in Fig. 32-3. Now suppose a battery is placed across terminals a and b with its – side at B. (a) Describe the field produced by the
In Fig. 32-3 the coil on the left is moved to the right toward the stationary magnet at a constant rate. (a) What is the direction of the bfield in the coil? Explain. (b) Is that field increasing
In Fig. 32-3 the coil on the right is moved to the left toward the stationary magnet at a constant rate. (a) What is the direction of the bfield in the coil? Explain. (b) Is that field increasing
The cylindrical magnet at the center of Fig. 32-12 rotates as shown on a pivot through its center. At the instant shown, in what direction is the induced current flowing (a) In resistor AB? (b) In
A train is moving directly south at a constant speed of 10 m/s. If the downward vertical component of the Earth’s magnetic field is 0.54 G, compute the magnitude and direction of the emf induced in
A copper disk of 10-cm radius is rotating at 20 rev/s about its central symmetry axis. The plane of the disk is perpendicular to a uniform magnetic field B = 0.60 T. What is the potential difference
The resistance of the armature in the motor shown in Fig. 33-2 is 2.30 Ω. It draws a current of 1.60 A when operating on 120 V. What is its back emf under these circumstances? Average torque =
A 0.250-hp motor (like that in Fig. 33-2) has a resistance of 0.500 Ω. (a) How much current does it draw on 110 V when its output is 0.250 hp? (b) What is its back emf? Average torque = (Constant)
In a shunt motor, the permanent magnet is replaced by an electromagnet activated by a field coil that shunts the armature. The shunt motor shown in Fig. 33-4 has an armature resistance of 0.050 and
The shunt motor shown in Fig. 33-5 has an armature resistance of 0.25 Ω and a field resistance of 150 Ω. It is connected across 120- V mains and is generating a back emf of 115 V. Compute: (a) The
A motor has a back emf of 110 V and an armature current of 90 A when running at 1500 rpm. Determine the power and the torque developed within the armature.
A motor armature develops a torque of 100 N·m when it draws 40 A from the line. Determine the torque developed if the armature current is increased to 70 A and the magnetic field strength is reduced
Determine the separate effects on the induced emf of a generator if (a) The flux per pole is doubled, and (b) The speed of the armature is doubled.
The emf induced in the armature of a shunt generator is 596 V. The armature resistance is 0.100 Ω. (a) Compute the terminal voltage when the armature current is 460 A. (b) The field resistance is
A dynamo (generator) delivers 30.0 A at 120 V to an external circuit when operating at 1200 rpm. What torque is required to drive the generator at this speed if the total power losses are 400 W?
A 75.0-kW, 230-V shunt generator has a generated emf of 243.5 V. If the field current is 12.5 A at rated output, what is the armature resistance?
A generator has an armature with 500 turns, which cut a flux of 8.00 mWb during each rotation. Compute the back emf it develops when run as a motor at 1500 rpm.
The active length of each armature conductor of a motor is 30 cm, and the conductors are in a field of 0.40 Wb/m3. A current of 15 A flows in each conductor. Determine the force acting on each
A shunt motor with armature resistance 0.080 Ω is connected to 120 V mains. With 50 A in the armature, what are the back emf and the mechanical power developed within the armature?
A shunt motor is connected to a 110-V line. When the armature generates a back emf of 104 V, the armature current is 15 A. Compute the armature resistance.
A shunt dynamo has an armature resistance of 0.120 Ω. (a) If it is connected across 220-V mains and is running as a motor, what is the induced (back) emf when the armature current is 50.0 A? (b)
A shunt motor has a frequency of 900 rpm when it is connected to 120-V mains and delivering 12 hp. The total losses are 1048 W. Compute the power input, the line current, and the motor torque.
A shunt motor has armature resistance 0.20 Ω and field resistance 150 Ω, and draws 30 A when connected to a 120-V supply line. Determine the field current, the armature current, the back emf, the
A shunt motor develops 80 N·m of torque when the flux density in the air gap is 1.0 Wb/m2 and the armature current is 15 A. What is the torque when the flux density is 1.3 Wb/m2 and the armature
A shunt motor has a field resistance of 200 Ω and an armature resistance of 0.50 Ω and is connected to 120-V mains. The motor draws a current of 4.6 A when running at full speed. What current will
A steady current of 2 A in a coil of 400 turns causes a flux of 10-4 Wb to link (pass through) the loops of the coil. Compute (a) The average back emf induced in the coil if the current is stopped
A 120-V generator is run by a windmill that has blades 2.0 m long. The wind, moving at 12 m/s , is slowed to 7.0 m/s after passing the windmill. The density of air is 1.29 kg/m3. If the system has no
In Fig. 30-13 is shown only one-quarter of a single complete circular loop of wire that carries a current of 14 A. Its radius is a = 5.0 cm. A uniform magnetic field, B = 300 G, is directed in the
How much charge will flow through a 200-Ω galvanometer connected to a 400-Ω circular coil of 1000 turns wound on a wooden stick 2.0 cm in diameter, if a uniform magnetic field B = 0.011 3 T
Two coils are wound on the same iron rod so that the flux generated by one passes through the other also. The primary coil has Np loops and, when a current of 2.0 A flows through it, the flux in it
In Fig. 32-7, described in Problem 32.12, what is the acceleration of the rod when its speed down the incline is ν?Problem 32.12The metal bar of length L, mass m, and resistance R depicted in Fig.
An ac generator produces an output voltage of ε = 170 sin 377t volts, where t is in seconds. What is the frequency of the ac voltage?
How fast must a 1000-turn coil (each with a 20 cm2 area) turn in the Earth’s magnetic field of 0.70 G to generate a voltage that has a maximum value (i.e., an amplitude) of 0.50 V?
When turning at 1500 rev/min, a certain generator produces 100.0 V. What must be its frequency in rev/min if it is to produce 120.0 V?
A certain generator has armature resistance 0.080 Ω and develops an induced emf of 120 V when driven at its rated speed. What is its terminal voltage when 50.0 A is being drawn from it?
Some generators, called shunt generators, use electromagnets in place of permanent magnets, with the field coils for the electromagnets activated by the induced voltage. The magnet coil is in
When the current in a certain coil is changing at a rate of 3.0 A/s, it is found that an emf of 7.0 mV is induced in a nearby coil. What is the mutual inductance of the combination?
A long air-core solenoid has cross-sectional area A and N loops of wire on its length d. (a) Find its self-inductance. (b) What is its inductance if the core material has a permeability of μ?
A coil of resistance 15 Ω and inductance 0.60 H is connected to a steady 120-V power source. At what rate will the current in the coil rise (a) At the instant the coil is connected to the power
At a certain instant, a coil with a resistance of 0.40 Ω and a selfinductance of 200 mH carries a current of 0.30 A that is increasing at the rate of 0.50 A/s. (a) What is the potential difference
A solenoid 30 cm long is made by winding 2000 turns of wire on an iron rod whose cross-sectional area is 1.5 cm2. If the relative permeability of the iron is 600, what is the self-inductance of the
A capacitor that has been charged to 2.0 × 105 V is allowed to discharge through a resistor. What will be the voltage across the capacitor after five time constants have elapsed?
A 2.0-μF capacitor is charged through a 30-MΩ resistor by a 45- V battery. Find (a) The charge on the capacitor and (b) The current through the resistor, both determined 83 s after the charging
Show that 1.00 Wb = 1.00 V · s.
Show that 1.00 T = 1.00 N/A · m.
Show that 1.00 H = 1.00 T · m2 / A.
Determine the back emf induced in a coil whose self-inductance is 8.20 mH when the current through the coil is changing at a constant rate of 100 A per second.
How much energy is stored in a 0.500-H inductor carrying a current of 4.80 A?
The current in a coil starts out at 6.00 A and drops uniformly to zero in a time of 6.00 ms. Determine the self-inductance, given that there is a measured emf of 200 V across the coil while the
An air-core coil has 400 turns and is 2.00 cm long. It has a crosssectional area of 1.00 cm2. Determine its self-inductance.
An emf of 8.0 V is induced in a coil when the current in it changes at the rate of 32 A/s. Compute the inductance of the coil.
A steady current of 2.5 A creates a flux of 1.4 × 10-4 Wb in a coil of 500 turns. What is the inductance of the coil?
The mutual inductance between the primary and secondary of a transformer is 0.30 H. Compute the induced emf in the secondary when the primary current changes at the rate of 4.0 A/s.
Two neighboring coils, A and B, have 300 and 600 turns, respectively. A current of 1.5 A in A causes 1.2 × 10-4 Wb to pass through A and 0.90 × 10-4 Wb to pass through B. Determine (a) The
A coil of 0.48 H carries a current of 5 A. Compute the energy stored in it.
The iron core of a solenoid has a length of 40 cm and a cross section of 5.0 cm2, and is wound with 10 turns of wire per cm of length. Compute the inductance of the solenoid, assuming the relative
Show that (a) 1 N/A2 = 1 T · m /A = 1 Wb/A · m = 1 H/m, and(b) 1 C2 / N · m2 = 1 F / m.
What fraction of the initial current still flows in the circuit of Fig. 34-1 seven time constants after the switch has been closed? Switch + & (a) M R i (A) 6=E/R 0.37 % RC Fig. 34-1 (b) 4 1(5) 19
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