The electrons in the beam of a television tube have a kinetic energy of $12.0 \mathrm{keV}$. The tube is oriented so that the electrons move horizontally from magnetic south to magnetic north. The vertical component of the Earth's magnetic field points down and has a magnitude of $55.0 \mu \mathrm{T}$. (a) In what direction will the beam deflect? (b) What is the acceleration of a given electron due to the magnetic field? (c) How far will the beam deflect in moving $20.0 \mathrm{~cm}$ through the television tube?

A proton moving at $4.00 \times 10 ^ { 6 }$ m/s through a magnetic field of magnitude 1.70 T experiences a magnetic force of magnitude $8.20 \times 10 ^ { - 18 }$ N. What is the angle between the proton’s velocity and the field?

When a charged particle moves at an angle of

$$25^\circ$$

with respect to a magnetic field, it experiences a magnetic force of magnitude F. At what angle (less than

$$90^\circ$$

) with respect to this field will this particle, moving at the same speed, experience a magnetic force of magnitude 2F?

In the Bainbridge mass spectrometer, the magnetic-field magnitude in the velocity selector is 0.650 T, and ions having a speed of 1.82⨯10$^6$ m/s pass through undeflected. What is the electric-field magnitude in the velocity selector? If the separation of the plates is 5.20 mm, what is the potential difference between plates of the velocity selector?

A charge of

$$- 8.3 \mu \mathrm { C }$$

is traveling at a speed of

$$7.4 \times 10 ^ { 6 } \mathrm { m } / \mathrm { s }$$

in a region of space where there is a magnetic field. The angle between the velocity of the charge and the field is

$$52 ^ { \circ }$$

A force of magnitude

$$5.4 \times 10 ^ { - 3 } \mathrm { N }$$

acts on the charge. What is the magnitude of the magnetic field?

A proton, traveling with a velocity of $4.5 \times 10^{6} \mathrm{m} / \mathrm{s}$ due east, experiences a magnetic force that has a maximum magnitude of $8.0 \times 10^{-14} \mathrm{N}$ and a direction of due south. What are the magnitude and direction of the magnetic field causing the force? (b) Repeat part (a) assuming the proton is replaced by an electron.

The following exercise refers to the small population {2, 6, 8, 10, 10, 12} with mean

$$\mu = 8$$

and range 10. List all 15 possible SRSs of size n = 2 from the population. Find the value of

$$\overline{x}$$

for each sample.

Three resistors are connected in series across a battery. The value of each resistance and its maximum power rating are as follows: $2.0 \Omega \text { and } 4.0 \mathrm { W } , 12.0 \Omega \text { and } 10.0 \mathrm { W } , \text { and } 3.0 \Omega \text { and } 5.0 \mathrm { W }$

What is the lowest voltage that the battery can have without one of the resistors burning up?

Three resistors are connected in series across a battery. The value of each resistance and its maximum power rating are as follows: $2.0 \Omega \text { and } 4.0 \mathrm { W } , 12.0 \Omega \text { and } 10.0 \mathrm { W } , \text { and } 3.0 \Omega \text { and } 5.0 \mathrm { W }$

What is the greatest voltage that the battery can have without one of the resistors burning up?

A resistor with $R=850 \Omega$ is connected to the plates of a charged capacitor with capacitance $C=4.62 \mu \mathrm{F}$. Just before the connection is made, the charge on the capacitor is $6.90 \mathrm{mC}$.What is the electrical power dissipated in the resistor at the instant when the energy stored in the capacitor has decreased to half the value calculated in part (a)?

A resistor with $R=850 \Omega$ is connected to the plates of a charged capacitor with capacitance $C=4.62 \mu \mathrm{F}$. Just before the connection is made, the charge on the capacitor is $6.90 \mathrm{mC}$.What is the electrical power dissipated in the resistor just after the connection is made?

A resistor with R=850 $\Omega$ is connected to the plates of a charged capacitor with capacitance C=4.62 $\mu \mathrm{F}$. Just before the connection is made, the charge on the capacitor is 6.90 mC. (a) What is the energy initially stored in the capacitor? (b) What is the electrical power dissipated in the resistor just after the connection is made? (c) What is the electrical power dissipated in the resistor at the instant when the energy stored in the capacitor has decreased to half the value calculated in pail (a)?

A person with body resistance between his hands of $10 \mathrm{k} \Omega$ accidentally grasps the terminals of a 14-kV power supply. If the internal resistance of the power supply is $2000 \Omega$, what is the current through the person’s body?

A person with body resistance between his hands of $10 \mathrm{k} \Omega$ accidentally grasps the terminals of a 14-kV power supply. If the power supply is to be made safe by increasing its internal resistance, what should the internal resistance be for the maximum current in the above situation to be 1.00 mA or less?