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Fundamentals of Physics, Volume 1, Chapter 1-20
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- In deep space two spheres each of radius 5.00 m are connected by a 3.00 × 102 m nonconducting cord. If a uniformly distributed charge of 35.0 μC resides on the surface of each sphere, calculate the tension in the cord.arrow_forwardL/2. 0 Ay I - L/2 02 a α1 T P ΔΕ Ρ ΔΕ, Consider a uniformly charged thin rod with total charge Q and length L. It is aligned along the y-axis and centered at the originarrow_forwardThe figure below is a section of a conducting rod of radius R1 = 1.30 mm and length L = 11.00 m inside a thick-walled coaxial conducting cylindrical shell of radius R2 = 10.0R1 and the (same) length L. The net charge on the rod is Q1 = +4.60 ✕ 10−12 C; that on the shell is Q2 = −4.00Q1. (a) What is the magnitude E of the electric field at a radial distance of r = 3.50R2? _________N/C(b) What is the direction of the electric field at that radial distance? ---Select---: inward or outward(c) What is the magnitude E of the electric field at a radial distance of r = 3.50R1? ___________N/Carrow_forward
- The diagram above shows a coaxial cable. The inner conductor has radius a = 0.0025 m. The outer conductor is a cylindrical shell with inner radius b = 0.0075 m, and outer radius c = 0.008 m from the center. Both conductors are coaxial. For every length L = 10 m of cable, there is a total charge q = 2.8e-08 C on the inner conductor and a total charge of Q = -5.6e-06 C on the outer conductor. Determine the electric potential difference between the labeled points A and B.arrow_forwardProblem 6: A conducting sphere of radius r1 = 0.18 m has a total charge of Q = 1.4 μC. A second uncharged conducting sphere of radius r2 = 0.42 m is then connected to the first by a thin conducting wire. The spheres are separated by a very large distance compared to their size. What is the total charge on sphere two, Q2 In coulombsarrow_forwardThe figure below is a section of a conducting rod of radius R1 = 1.30 mm and length L = 11.00 m inside a thick-walled coaxial conducting cylindrical shell of radius R2 = 10.0R1 and the (same) length L. The net charge on the rod is Q1 = +4.60 ✕ 10−12 C; that on the shell is Q2 = −4.00Q1. (d) What is the direction of the electric field at that radial distance? ---Select---: inward or outward(e) What is the charge on the interior surface of the shell? _______________C(f) What is the charge on the exterior surface of the shell? _______________Carrow_forward
- Two identical conducting spheres each having a radius of 0.500 cm are connected by a light 2.20 m long conducting wire. A charge of 56.0 µC is placed on one of the conductors. Assume the surface distribution of charge on each sphere is uniform. Determine the tension in the wire.arrow_forward(a) What total (excess) charge q must the disk in the figure have for the electric field on the surface of the disk at its center to have the magnitude 3.0 × 106 N/C, the E value at which air breaks down electrically, producing sparks? Take the disk radius as 3.0 cm. (b) Suppose each surface atom has an effective cross-sectional area of 0.015 nm2. How many atoms are needed to make up the disk surface? (c) The charge calculated in (a) results from some of the surface atoms having one excess electron. What fraction of these atoms must be so charged?arrow_forward= The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.80 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 13.0R₁ and the (same) length L. The net charge on the rod is -12 Q₁ +3.46 × 10 C; that on the shell is Q₂ = -2.21Q₁. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.17R₂? What are (c) E and (d) the direction at r= 5.06R₁? What is the charge on the (e) interior and (f) exterior surface of the shell?arrow_forward
- An infinitely long cylindrical conducting shell of outer radius r1 = 0.10 m and inner radius r2 = 0.08 m initially carries a surface charge density σ = -0.15 μC/m2. A thin wire, with linear charge density λ = 1.1 μC/m, is inserted along the shells' axis. The shell and the wire do not touch and there is no charge exchanged between them. A) What is the new surface charge density, in microcoulombs per square meter, on the inner surface of the cylindrical shell? B) What is the new surface charge density, in microcoulombs per square meter, on the outer surface of the cylindrical shell? C) Enter an expression for the magnitude of the electric field outside the cylinder (r > 0.1 m), in terms of λ, σ, r1, r, and ε0.arrow_forwardA very thin charged rod of length L lies on the z-axis (x=0, y=0) centered on the origin (z=0) and extending in the range – L/2 L/2, by integrating the formula [convert dq to the specific case of the linear charge density] 1 V (†) dq(7') 4πεο (b) Calculate the electric field vector E (0,0, z) at the same point as in part (a) by using the definition of the electric field in terms of the potential.arrow_forwardA thin rod of length L = 1 m lies along the x axis with its left end at the origin. It has a uniform linear charge distribution 2 =-3.2 C/m. How many electrons are there on the rod contributing to the total charge?arrow_forward
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