6- A cylindrical capacitor has an inner conductor of radius 1.5 mm and an outer conductor of radius 2.5 mm. The two conductors are separated by vacuum, and the entire capacitor is 2.8 m long. The potential of the inner conductor is 350 mV higher than that of the outer conductor. Find the charge (magnitude and sign) on both conductors.

6- A cylindrical capacitor has an inner conductor of radius 1.5 mm and an outer conductor of radius 2.5 mm. The two conductors are separated by vacuum, and the entire capacitor is 2.8 m long. The potential of the inner conductor is 350 mV higher than that of the outer conductor. Find the charge (magnitude and sign) on both conductors.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A charge of 60 pC is distributed on an isolated spherical conductor that has a 4.0 cm radius. Point A is 1.0 cm from the center of the conductor and point B is 6 cm from the center of the conductor. Determine the electriC potential difference V-Vg- A. -4.5 V B. 45 V C. -45 V D. 0 V E. 4.5 V
A non-conducting solid sphere of radius R = 10.0 cm has a uniformly distributed charge Q = +1.50x10 C. Find the magnitude of the potential difference between a point at r= 50.0 cm and a point on the surface of the sphere. Select one: a. 98kV b. 108kV C. 80kV d. 100kV e. 120kV
A thin, spherical, conducting shell of radius R is mounted on an isolating support and charged to a potential of -667 V. An electron is then fired directly toward the center of the shell, from point P at distance r from the center of the shell (r>>R). What initial speed vo is needed for the electron to just reach the shell before reversing direction? Number i Units
Question 7 A nonconducting sphere contains positive charge distributed uniformly throughout its volume. Which statements about the potential due to this sphere are true? All potentials are measured relative to infinity. The potential is highest at the center of the sphere. The potential at the center is the same as the potential at infinity. The potential at the center of the sphere is lower than than the potential at the surface. The potential at the center of the sphere is zero. None of the given choices.
4. Consider cylindrical coaxial structure having perfect conductors. Radius of inner and outer structures are given as r; = 1 cm and r2 = 2 cm, respectively. Area between the conductors is filled with a dielectric material e = 4€, and it is assumed that it does not contains any free charge. Voltage on the inner conductor is 50V and outer conductor is grounded (0V). a) Find the expression of electric potential in dielectric media by using Laplace's equation. b) Find the electric field from the electric potential. After that, use boundary condition to determine charge density Ps on the surface of the inner conductor.
Two charged, parallel, flat conducting surfaces are spaced d = 0.866 cm apart and produce a potential difference AV = 760 V between them. An electron is projected from one surface directly toward the second. What is the initial speed of the electron if it stops just at the second surface? Number i Units
Problem 5 Consider a parallel-plate capacitor with a plate area of A = 8.50 cm². The separation between the plates is d₂ = 3.00 mm (the space between the plates is filled with air). The plates of the capacitor are charged by a 6.00 V battery, i.e., the potential difference between the plates is V₂ = 6.00 V. The plates are then disconnected from the battery and pulled apart (without discharge) to a sepa- ration of df = 8.00 mm. In the following, neglecting any fringing effects. (a) Will the new potential difference between the plates be larger, smaller, or the same compared to the initial potential difference of V₂ = 6.00 V? Explain. (Hint: Note that the charge will not change when the plates are pulled apart. Why is that?) (b) Find the potential difference Vf between the plates after the plates have been pulled to their new, larger separation df. (c) Find the electrostatic energy stored in the capacitor before and after the plates are pulled apart. (d) To separate the plates, you will…
A parallel-plate capacitor is constructed using a dielectric material whose dielectric constant is 3.30 and whose dielectric strength is 1.20 x 108 V/m. The desired capacitance is 0.300 μF, and the capacitor must withstand a maximum potential difference of 4.00 kV. Find the minimum area of the capacitor plates. m²
A thin rod of length L has a uniform charge density A = ax. Which of the following gives the correct expression for the potential at point P? P a dq + + + + + + + + + dx O a. V, = Jo a(z?4a²) da O b. V. O c. Vn = O d. V, = So da O e. V, = Jo da || |
Capacitance Problem 18: A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R1 = 19 cm and carries a uniform charge per unit length of λ = 30 μC/m. The outer cylinder has radius R2 = 45 cm and carries an equal but opposite charge distribution as the inner cylinder. Part (b) Calculate the electric potential difference between the outside and the inside cylinders in V. Part (c) Calculate the capacitance per unit length of these concentric cylinders in F/m.
Consider two separate systems with four charges of the same magnitude q = 16 µC arranged in the vertexes of a square of length h = 35 cm, see the picture below. Calculate the electric potential at the center of the square (points A and C) and at the middle of the bottom side of the square (points B and D). h A. C. h B D -4 The potential at point A, VA = 2324567.7 x Units V The potential at point B, Ve = 2378380.6 Units V The potential at point C, Vc =0 Units V The potential at point D, V, = -908380.8: v Units v How much work is required to move a -12 µC charge from point A to point B? The work required, W = -0.64575 xUnits J How much work is required to move a -12 µC charge from point C to point D? Units J The work required, Wc-p = 10.90
Outside of a 20 m long cable with an inner radius of 1.5 mm and a charge of +3 µC. The inner radius of the surrounding conductor is 2.5 mm and the charge amount is given as -3 uC. If a paper material (K=3.7) is placed between the two conductors, what will be the potential difference between the two conductors? A) 452 V B) 245 V C) 128 V D) 372 V E) 278 V