Q.3: Figure.1 shows a section of a long, thin-walled metal tube of radius R = 3.00 cm, with a charge per unit length of 2- 2.00 10 C/m. What is the magnitude E of the electric field at radial distance (a) r= R/2.00 and (b)r- 2.00R? (c) Graph E versus r for the range r=0 to 2.00R. 73°F Clear
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
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- A shere of radius R = 0.35 m has a volume charge distribution described by: ρ(r) = ρ0 (1− r/R) for r ≤ R, where ρ0 = 18.5 μC/m3. a. What is the total charge on the sphere? b. What is the strength of the electric field produced by the charge distribution at a distance 0.21 m from the center of the sphere? c. What is the strength of the electric field produced by the charge distribution at a distance 0.4025 m from the center of the sphere? d. Graph the electric field as a function of r between r = 0 and r =0.4025 m.A charge distribution creates the following electric field throughout all space: E(r, 0, q) = (3/r) (r hat) + 2 sin cos sin 0(theta hat) + sin cos p (phi hat). Given this electric field, calculate the charge density at location (r, 0, p) = (ab.c).Consider the following figure. (If you need to use co or -o, enter INFINITY or -INFINITY, respectively.) (a) Find the total electric field in N/C at x = 8.00 cm in part (b) of the figure above given that q = 1.00 uC. N/C (b) Find the total electric field in N/C at x = 11.50 cm in part (b) of the figure above. (Include the sign of the value in your answer.) N/C (c) If the charges are allowed to move and eventually be brought to rest by friction, what will the final charge configuration be? (That is, will there be a single charge, double charge, etc., and what will its value(s) be? Use the following as necessary: q.)
- The electric flux through the surface shown in the figure (Figure 1)is 30 Nm²/C. You may want to review (Pages 664 - 668). Š Figure 60° 10 cm x 10 cm 1 of 1 Part A What is the electric field strength? Express your answer to two significant figures and include the appropriate units. E = Submit 0 ΜΑ Value Provide Feedback Request Answer Ć Units w ?Q2. a. Find the expression for the electric field at P due to a point charge Q at (x1,y₁, Z₁) as shown in Fig. Q2a. P(x, y, z) R е (x2) Fig.Q2a b. Repeat 'a' with the charge placed at the origin and show that symmetry is apparent by expressing the electric field in spherical coordinates.A cylinder of length L=5m has a radius R=2 cm and linear charge density 2=300 µC/m. Although the linear charge density is a constant through the cylinder, the charge density within the cylinder changes with r. Within the cylinder, the charge density of the cylinder varies with radius as a function p( r) =p.r/R. Here R is the radius of the cylinder and R=2 cm and p, is just a constant that you need to determine. b. Find the constant po in terms of R and 2. Then plug in values of R and 1. to find the value for the constant p. c. Assuming that L>>R, use Gauss's law to find out the electric field E inside the cylinder (rR) in terms of 1. and R. d. Based on your result from problem c, find the electric field E at r=1cm and r=4cm.
- Use Gauss's law to find the electric field at the field point in the following case. The distance between the field point and the surface of the conductor is d. A semi-infinitely large conductor with surface charge density o. Field point d х Conductora. A thin line charge, infinite in both directions, has a charge density per unit length of 2.00 µC/m. What is the electric field strength a distance 0.50 meters from the e. (axioc) 3.8 X104 RTT( 8.85x1018) cokec tion: ヤート D. A -5.00 µC charge is 0.50 meters from the line charge mentioned in part a. What is the electrostatic force on this charge? Is this force directed toward or away from the line charge? Fこ EG -(3.8x104) (-5x16-6) - 0.19 remains can- the kin anetic A large flat insulating membrane has a uniform chargeo of +12.0 µC/m². What is the electric field strength above the charged surface? с. (こ マメIC6 つ1Xと =2 2(8.85x1019) 5.31 X107 w ould double Cth d. Suppose a +4.00 µC charge and a +7.00 µC charge are separated by 3.00 meters. How far from the +4.00 µC charge does the electric field vanish? What the the magnitude of the force on a test charge is it is placed at this point? Enew, 72F ベ-8 (7x100) RF F=(4X10An irregular neutral conductor has a hollow cavity inside of it and is insulated from its surroundings. An excess charge of 18.0 nCnC is sprayed onto this conductor. 1.Find the charge on the inner surface of the conductor.Express your answer in nanocoulombs. 2.Find the charge on the outer surface of the conductor.Express your answer in nanocoulombs. 3.Without touching the conductor, a charge of -15.0 nCnC is inserted into the cavity through a small hole in the conductor. Find the charge on the inner surface of the conductor in this case.Express your answer in nanocoulombs. 4.Find the charge on the outer surface of the conductor in this case.Express your answer in nanocoulombs.
- In Fig. 1, a thin glass rod forms a semicircle of radius r= 10.00 cm. Charge is uniformly distributed along the rod, with q = 20.00 mC in the upper half and q=-20.00 mC in the lower half. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the electric field at P, the center of the semicircle fig.1 +q P -9Consider the electric field of a point charge.At point A the electric field strength is 9 V/m, at point B the electric field strength is 36 V/m. We measure the strength of the electric eld at the midpoint of the interval AB. What can be the measured value?The electric flux through a spherical Gaussian surface of radius r=20.0cm, with a uniformly charged, spherical conducting shell at its center, is ΦE =−2.30 × 104 N·m2/C. T c. How many excess electrons or protons does this sphere contain? d. f the conductor has a radius of R = 10.0 cm, what is its surface charge density? e. What is the electric field strength at the surface of the conductor?