(5 pts) 3. Is the following statement true or false? "If there is no charge enclosed...
i) If the total charge enclosed inside a Gaussian surface is zero, then E everywhere on the Gaussian surface must be zero. Circle one: True, False. Explain very briefly if you wish: ii) A spherical region (radius R, centered on the origin) has electric field E(r)=0 throughout. The voltage V(r) must also vanish throughout that region. Circle one: True, False. Explain very briefly if you wish: iii) A spherical region (radius R, centered on the origin) has voltage V(r) =...
Consider a point charge q completely enclosed by a Gaussian surface. What happens to the total flux through the surface if I keep the charge inside but decrease the size of the Gaussian surface and move the charge to a different location? Question 3 (1 point) Consider a point charge q completely enclosed by a Gaussian surface. What happens to the total flux through the surface if I keep the charge inside but decrease the size of the Gaussian surface...
Choose true or false for each statement. Near a positive charge, the electric field forms circular paths near that charge. B If the magnitude of charge 1 is larger than charge 2, then the density of electric field lines near charge 1 is smaller than near charge 2. Near a positive charge, the electric field points toward that charge. Submit Answer Tries 0/2 2 The figure above shows the electric field lines for negative and positive charges of different magnitudes....
Problem 5 Compute the total charge inside in a cylinder of length h and radius Rcy, when ρ(R) αR. Use the result to compute the electric field produced by the cylinder at points outside the cylinder (rRcyl). Note that since > Rcyl, the Gaussian surface (with radius r) encloses all the charge in the cylinder. State the direction of the electric field inside and outside the cylinder when a > 0, that is, when the cylinder carries positive charge. Problem...
Part A. (True/False Questions) (15 pts). Decide if the given statement is true or false. (Justify briefly your answer) 1. The eigenvalues of the matrix A = -5 6 are: 5 and -4. O True False 2. Let A= 2 -4 be a square matrix. The vector v= [ is an eigenvector of the matrix A. 2 True False 3. If I = -4 is an eigenvalue of a 5 x 5 matrix A, then Av = -4v for any...
State whether the following are true or false, and explain why? Any equipotential surface of a point charge is a sphere with the charge at its center. Electric field lines run perpendicular to a surface of a conductor. The equivalent capacitance of two capacitors in series is smaller than each individual capacitor. The junction rule is based upon conservation of momentum, whereas the loop rule is based upon the conservation of charge. Kirchhoff junction rule is valid for any multiloop...
True or false physics 2 questions. 1. [ ] Gauss's law states that the net electric flux ΦE through any closed Gaussian surface is equal to the net charge inside the surface divided by 4πε_0. 2. [ ] Gauss's law is useful for calculating electric field when the charge distribution is highly symmetrical. 3. [ ] At electrostatic equilibrium, the electric field is zero everywhere inside a conductor, and any charge can only be distributed on the surface of the...
Chapter 3 The Flux Laws of Electric and Magnetic Fields 3.5 Homework for Chapter 3 a) What is electric flux? b) What is the relationship between electric field intensity and electric flux density? c) A 25 LC point charge is enclosed by a spherical Gaussian (observation) surface Whe is the total electric flux crossing the Gaussian surface? Why? d) A 25 LC point charge is enclosed by a cubical Gaussian (observation) surface. What is the total electric flux crossing the...
(Gauss' law 3) The Gaussian surface is a sphere with a radius of 10 cm. At the center of the sphere is a point charge. At the Gaussian surface (10 cm from the point charge) an electric field of 5000 N/C is directed away from the point charge. a) Draw the Gaussian surface around the point charge. Show electric field vectors at the surface. b) Use Gauss' law to find the charge enclosed by the surface. c) The charge you...