missing 5.78 x 1010 electrons). At a distance of 1.18 m from the center of the pointing to the right. Using Eq. (6.4) for the electric field at this point, what is dipole equidistant from the charges, the electric field is measured to be 2.61 N/C oole equidistant from the charges, the electric field is measured to be 2.61 N/C ointing to the right. Using Eq. (6.4) for the electric field at this point, what is he separation between the charges? Is the positive charge on the left or the right side of the dipole? mib ban AOVE

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Question 6.9 only!! Question cuts between bottom of picture one and top of picture 2
6 10. PROBLEMS TARD
279
eing 5.78 × 1010 electrons). At a distance of 1.18 m from the center of the
oole equidistant from the charges, the electric field is measured to be 2.61 N/C
nting to the right. Using Eq. (6.4) for the electric field at this point, what is
he separation between the charges? Is the positive charge on the left or the right
side of the dipole?
6.10 Consider an electric dipole of charge 1.7 mC and separation 21.0 cm. Cal-
culate the magnitude of the electric field at a point equidistant from the charges
a distance of 42.0 cm from the dipole center. First, use Eq. (6.4); then, calculate
the electric field magnitude by considering the dipole as a pair of point particles,
each producing an electric field given by Eq. (6.3). What is the per cent difference
in electric field magnitude given by each of these methods? Is it reasonable to use
the z > d approximation in this instance? Explain.
6.11 Repeat the previous problem for a point 84.0 cm from the dipole center.
6.12 Repeat the previous problem for a point 168.0 cm from the dipole center.
6.13 A charged ring of radius 1.0 m produces an electric field of magnitude
15.7 N/C at a distance of 0.01 m directly above the center of the ring. What is
the linear charge density of the ring? What is the total amount of charge on the
ring?
6.14 A disk of radius 1.05 m has a charge of 16.8 µC. You are measuring the
electric field at a point 5.86 m directly above the center of the disk. As you are
conducting the experiment, the disk heats up, such that the radius of the disk
increases by 0.047 m. If the total amount of charge on the disk remains the same,
by what percentage does the electric field that you are measuring change? Does
the electric field increase or decrease?
. 6.15 Consider a charged shell of radius of 1.000 m and charge of 15.0 µC, with
a point-like particle of charge –13.0 µC located at the center of the shell. What
C the electric field at a point
Transcribed Image Text:6 10. PROBLEMS TARD 279 eing 5.78 × 1010 electrons). At a distance of 1.18 m from the center of the oole equidistant from the charges, the electric field is measured to be 2.61 N/C nting to the right. Using Eq. (6.4) for the electric field at this point, what is he separation between the charges? Is the positive charge on the left or the right side of the dipole? 6.10 Consider an electric dipole of charge 1.7 mC and separation 21.0 cm. Cal- culate the magnitude of the electric field at a point equidistant from the charges a distance of 42.0 cm from the dipole center. First, use Eq. (6.4); then, calculate the electric field magnitude by considering the dipole as a pair of point particles, each producing an electric field given by Eq. (6.3). What is the per cent difference in electric field magnitude given by each of these methods? Is it reasonable to use the z > d approximation in this instance? Explain. 6.11 Repeat the previous problem for a point 84.0 cm from the dipole center. 6.12 Repeat the previous problem for a point 168.0 cm from the dipole center. 6.13 A charged ring of radius 1.0 m produces an electric field of magnitude 15.7 N/C at a distance of 0.01 m directly above the center of the ring. What is the linear charge density of the ring? What is the total amount of charge on the ring? 6.14 A disk of radius 1.05 m has a charge of 16.8 µC. You are measuring the electric field at a point 5.86 m directly above the center of the disk. As you are conducting the experiment, the disk heats up, such that the radius of the disk increases by 0.047 m. If the total amount of charge on the disk remains the same, by what percentage does the electric field that you are measuring change? Does the electric field increase or decrease? . 6.15 Consider a charged shell of radius of 1.000 m and charge of 15.0 µC, with a point-like particle of charge –13.0 µC located at the center of the shell. What C the electric field at a point
situated on the corners of a square of side l = 1.0 m as in Figure P.6.1. What is
13
Figure P.6.1. Figure for Problem 4.6.
the net electric field in the empty corner of the square?
6.7 Given the data from the previous problem, if a particle of charge -31.0 µC
were placed in the empty corner of the square of Figure P.6.1, what force (mag-
nitude and direction) would it experience?
..
6.8 It is currently theorized that a proton is actually composed of three particles
called quarks: two “up" quarks of charge +2/3.e and one "down" quark of charge
-1/3.e. If the radius of a proton is approximately .805 fm, estimate the magnitude
of the repulsive electric force between the two up quarks. Estimate the magnitude
of the attractive electric force between one of the up quarks and the down quark.
6.9 You are performing an experiment on an electric dipole in which the negative
charge has an extra 5.78 × 1010 electrons (and therefore the positive charge is
..
Transcribed Image Text:situated on the corners of a square of side l = 1.0 m as in Figure P.6.1. What is 13 Figure P.6.1. Figure for Problem 4.6. the net electric field in the empty corner of the square? 6.7 Given the data from the previous problem, if a particle of charge -31.0 µC were placed in the empty corner of the square of Figure P.6.1, what force (mag- nitude and direction) would it experience? .. 6.8 It is currently theorized that a proton is actually composed of three particles called quarks: two “up" quarks of charge +2/3.e and one "down" quark of charge -1/3.e. If the radius of a proton is approximately .805 fm, estimate the magnitude of the repulsive electric force between the two up quarks. Estimate the magnitude of the attractive electric force between one of the up quarks and the down quark. 6.9 You are performing an experiment on an electric dipole in which the negative charge has an extra 5.78 × 1010 electrons (and therefore the positive charge is ..
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