Lesson 1: Gauss Law Direction: Answer the following questions correctly. 1. A positive charge is placed at the center of a cube of side A. Is electric flux present through the cube? +) 2. A positive charge is placed outside the cube. Is electric flux present through the cube?
Q: a solid metal sphere at the center of a hollow metal sphere. Assume that E=1.6×10^4N/CE=1.6×10^4N/C.…
A: Given, E=1.6×10^4N/C
Q: 4. A conducting solid sphere of radius 6.0 cm is placed in a space with no external electric field.…
A: SOlution: Given that r = 6 cm = 0.06 m q = +2.1x10-6 C
Q: An insulating cylinder that is infinitely long has radius R and a charge per unit length of A.…
A: (a) Let λ denotes the line charge density, R denotes the radius, r denotes the radius of the…
Q: A cube of edge 75.0 cm contains a point charge of 135 µC at its center. Assuming that no other…
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Q: 5. A cylinder with infinite length, relative permittivity of ε,, and radius of R is charged with…
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Q: 5. Imagine two thin, semicircles of charge, Q and -Q that together form a circle of radius a in the…
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Q: Refer to the image below. The charge outside the sphere is positive. Which of the following…
A: When a positive charge is kept near a sphere, the electrons in the sphere gets attracted to the…
Q: 2. A charged rod is placed on the x-axis between x = d and x = d+ L. Its charge density is not…
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Q: Consider the following cone with volume charge density p(x) = ax as given in class (h,0) (x,0) (a)…
A: To conclude: If we can use Gauss' law to calculate the electric field at (x,0) for the given charge…
Q: Four concentric spheres S₁, S₂, S3, and 5, are arranged as in the figure below and each charge in…
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Q: An excess negative charge is injected into the center of a spherical, solid, conducting ball. When…
A: Given : A statement and asked to find the option that is false : Given statement: An excess negative…
Q: A cube of side length L has a charge of Q at its center. Which of the followings statements about…
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Q: 2. A very long line of charge has a uniform linear charge density +1 and is surrounded by a neutral…
A: (a)
Q: Charges of +2q, +q, and -q are distributed in an area as shown above. Consider a Gaussian surface…
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Q: 8. The conducting shell in the Figure below is grounded, and the negative point charge at the center…
A: Due to Induction of charge, the charge at inside surface is opposite of charge at centre. So, inside…
Q: A- A charged particle causes an electric flux of -750 N.m2/C to pass through a spherical Gaussian…
A: Since you have been posted multiple questions. So, we are solving only first question for you. If…
Q: Problem 3: There are 5 conducting spheres with radii of 5cm, 10cm, 15cm, 20cm, and 25cm, arranged…
A: Problem 3: (A) The electric field is seen to be identical inside the sphere due to that point…
Q: 3. If the electric flux density across a cube is given by (4 y-z?) ax+5 x y2 ay+2x2 az C/m2,…
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Q: PART 5: A very long, uniform line of charge with positive linear charge density A lies A very long,…
A: Given, There are two long charged lines in the (x,y) plane. one at the x-axis and the second at the…
Q: Law A strongly charged cable with a uniform charge per length A passes through a sphere of radius R…
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Q: erm 1 (UG .. The figure below shows nine point charges that lie in the same plane. Four Gaussian…
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Q: A 6.50μC point charge is at the center of a cube with sides of length 0.550m. What is the electric…
A: According to Gauss' Law, the net electric flux in a closed surface is equal to the ratio of net…
Q: 9. Consider a cylindrical metallic shell shown below with inner and outer radius p₁ and p2,…
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Q: Consider below questions which can be answered simply (simpler than the "brute-force" alternative)…
A: All data are given in specific questions subparts.
Q: A charge 5.8 µC is uniformly spread on a sheet of plastic that is 30 cm x 50 cm. a) calculate the…
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Q: 1. Find the electric field at a point 2 m away from a very long positive line charge whose charge…
A: Data Given , Charge density (λ) = 100 nC/m. = 100 × 10-9 C/m Distance ( r ) = 2…
Q: Charge, Q= 2.20nC is uniformly distributed along the thin rod of length, L= 1.20m shown below. a.…
A: The charge Q=2.2 nC is spread uniformly on the entire rod of length L=1.2 m. The linear charge…
Q: Question 1: Gauss' Law Basics The figure below shows three charges. Draw these charges on your paper…
A: Solution:-Given that
Q: A point charge of charge +Q is at the center of a spherical shell of charge with charge -3Q. The…
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Q: Question 3: Calculating flux of closed surface The figure below shows four sides of a 3.0cm x 3.0cm…
A: We are given a cube. Each of its face is a square. We are given magnitude of electric field. We are…
Q: A spherical surface completely encloses a collection of charges. What is the electric flux through…
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Q: Refer to the picture below. A positive static charge +10q is placed (not exaclty in the center)…
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Q: 1. A small collection of charges are placed together such that a sphere of radius R encloses them…
A: Electric field of charge distribution is, Electric Flux is defined as, Here ΦB is total flux and E…
Q: 2. The figure below shows an infinitely long rod with a uniform positive linear charge density 1 =…
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Q: 1. A continuous line of charge lies along the x axis extending from x = x0 to positive infinity. The…
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Q: 3R -2Q 4. A solid metal sphere of radius R has charge +2Q. A hollow spherical shell of radius 3R…
A: Given: The charge of the metallic sphere of radius R is Q The charge of the shell of radius 3R is 2Q…
Q: 1. Consider a charged irregular shape enclosed by a Gaussian sphere of radius R. Which of the…
A: Gauss' law of electrostatic helps to determine the electric flux through any closed surface. It…
Q: 8. Use Gauss' Law to prove that the electric field a distance r away from the center of a spherical…
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Q: 6. A cylinder with radius R and infinite length is centered on the z-axis and has a uniform charge…
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Q: Question 12: a) What is the volume charge density p = for a uniformly charged solid insulating…
A: Volume charge density = charge/volume
Q: Problem 1: Positive charge Q is distributed uniformly throughout an insulating sphere of radius R,…
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Q: When a charge is placed on a metal sphere, it ends up, in equilibrium, distributed uniformly over…
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Q: A shere of radius R = 0.35 m has a volume charge distribution described by: ρ(r) = ρ0 (1− r/R)…
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- A charge of Q= +4.0 uC is spread unformly over a sphericl shell of radius 0.1 m (measured from the center.) The thickness of the shell is very thin like a soda can. The inside of the spherical shell is below and completely empty. What is the direction of the electric field 1.0 m away from the center of the spherical shell. Choose one. a. Toward the sphere. b. Away from the sphere. c. Neither Then calculate the magnitude of the elelectric field at 0.02 m from the center (inside) of the spherical shell _______N/C?If the number of electric field lines leaving a closed surface is greater than the number of electric field lines entering the surface, which one of the following statements is true? a. no charges lie inside the surface b. the net charge enclosed by the surface is positive c. the net charge enclosed by the surface is negative d. the net charge enclosed by the surface is zeroQuestion 7 Shown in the figure is a point charge at the middle of two spherical conducting shells. The net charge of the point charge at the center is 3.0q. The inner shell has a net charge of 5.0q and the outer shell has a net charge of 5.0q. In terms of q. determine the net charge on the outermost surface of the outer shell. Enter your answer in terms of q. If the net charge on the outermost surface of the outer shell is negative, a negative value must be entered.
- A conducting spherical shell has an inner radius Rj and an outer radius Ro. 1) A charge Q is placed on the shell. Calculate the electric field E(r): a) for r> R. b) for R;A uniformly charged disk of radius R=25 cm carries a total charge of Q=2 μC. R P 1 Find the magnitude of the electric field E created by the disk at the point P located at distance 40 cm from the center of the disk. E = [N/C] 2. What is the direction of the electric field E created by the disk at point P. Direction: 3. Write the expression of the electric filed E created by the disk at point P. Ē =< [N/C] 4. Find the magnitude of the electric field E created by the disk at the point P located at distance 8 m from theElectric Fields 3. A plastic rod is bent into the quarter circle of radius R as shown below. A total positive charge of Q is evenly distributed along the rod. In terms of the given quantities, what is the linear charge density 1? а. || b. Set up the two integrals you would evaluate to find the components of the electric field. The integrals should be written in terms of the given quantities {Q and R} Ex Ey = с. Evaluate your integrals to write down the electric field vector at the origin. R E = of 101. A thin sheet of sides 2a and 2b lying in the xy plane and centered at the origin has a uniform charge density o (see figure). a. Using the result of Example 1 in the Chapter 23 slides, show that the electric field on the z-axis is given by of ab E = 4k,o arctan | zva² + b² + z². To get full credit you must show an appropriate differential of charge dq and explain any symmetry arguments you might have use to arrive to this result. b. What is the field in the limit a and b going to infinity? Compare your answer with the result of the What If? in Example 3 in the Chapter 23 slides. c. Using the results of part (a), find an integral expression for the electric field at an arbitrary point on the x-axis created by a cube of side 2a centered at the origin with uniform volume charge density p. You do not need to solve this integral.4. A point charge q is placed inside a spherical conducting shell of inner radius a and outer radius b as shown below. A total charge of -4q is placed on the conducting shell. For all parts below, answer in terms of q, a, b, and fundamental constants. b a. What is an expression for the electric field for 01. If a Gaussian sphere encloses no charge, does it follow that E = 0 on the surface of the Gaussian sphere? Justify your answer with 1–2 sentences. 2. Charge is uniformly distributed on the surface of a non-conducting spherical shell. The sphere is then dented. Is the electric field inside of the shell different after it is dented? Justify your answer with 1–2 sentences.A thick spherical shell with an inner radius a and outer radius b is made of dielectric material and has a polarization P(R) = âg. k is a constant and r is the distance from the center. a. Find the volume charge density caused by the polarization and surface charge density caused by the polarization. Find the total charge in the spherical shell. b. Find the electric field as a function of radius. c. Find the electric displacement D - using generalized Gauss law - as a function of radius. Find the electric field E from the D. (Hint: There are no free charges in the system)A thin spherical metal shell has inner radius a and outer radius b. The hen has a net charge of +0. Located at the center of the spherical shell is a point charge q of the opposite sign and half the magnitude: q = -Q/2. a) Find the electric field in the region 0b. c) How much total charge resides on the inner surface of the spherical shell? d) How much total charge resides on the outer surface of the spherical shell?A solid metal sphere has no net charge. A positive point charge is brought from infinity close to the surface of the sphere. a) Describe the electric flied inside the sphere. b) Describe the electric flied at the surface of the sphere. c) Describe the charge distribution inside the sphere. d) State the total charge inside the sphere.Recommended textbooks for youCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. 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