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If an uncharged parallel-plate capacitor (capacitance C) is connected to a battery, one plate becomes negatively charged as electrons move to the plate face (area A). In Fig. 25-26, the depth dfrom which the electrons come in the plate in a particular capacitor is plotted against a range of values for the potential difference Vof the battery. The density of
Figure 25-26 Problem 7.
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Fundamentals of Physics, Volume 1, Chapter 1-20
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- How many electrons should be removed from an initially uncharged spherical conductor of radius 0.300 m to produce a potential of 7.50 kV at the surface?arrow_forwardA capacitor has its outer conducting plate and inner conducting plate separated by Teflon with a dielectric constant of 2.1. If the outer and inner radii of the conducting plates are 5mm and 3mm, respectively and the capacitor is 1cm long, its capacitance is how many pF? Round off to the nearest tenth digit.arrow_forwardIn a spherical capacitor, since the radius of the outer conductor is 10 cm and the radius of the inner conductor is 9 cm. What is the capacitancc of the capacitor in nF?arrow_forward
- A parallel-plate air capacitor of area A=29 cm2 and plate separation d=2.4 mm is charged by a battery to 68 V. If a dielectric material with kappa = 3.1 is inserted so that it fills the volume between the plates (with the capacitor still connected to the battery), how much additional charge will flow from the battery onto the positive plate?arrow_forwardThe electrostatic energy of a spherical capacitor with an internal radius of 10 cm and an external radius of 20 cm, charged with 10 nC, is equal to?arrow_forwardProblem 2: A parallel plate capacitor has a charge on one plate of q = 1.4E-06 C. Each square plate is d1 = 2.6 cm wide and the plates of the capacitor are separated by d2 = 0.55 mm. The gap is filled with air, εo = 8.85 × 10-12 C2/Nm2. Part (a) What is the voltage between the plates, ΔV, in V? Part (b) What plate width would double this voltage, in centimeters?arrow_forward
- An initially neutral conducting sphere has a radius R = 0.45 m. Electrons are fired towards the sphere with an initial speed of v = 4 × 106 m/s. Electrons striking the surface remain on the sphere and a net negative charge accumulates over time. Assume the electrons are fired far from the sphere. How many electrons will be deposited on the sphere before they no longer reach the surface?arrow_forwardA parallel-plate capacitor with capacitance C, stores charge of magnitude Q, on plates of area A, separated by distance do. The potential difference across the plates is AVg. If the capaci- tor is attached to a battery and the charge is doubled to 2Q0 what are the ratios (a) Cmew/Co and (b) AVnew/AVo? A second capacitor is identical to the first capacitor except the plate area is doubled to 2A,- If given a charge of Qo, what are the ratios (c) Cnew/ Co and (d) AVnew/AVg? A third capacitor is identical to the first capacitor, except the distance between the plates is doubled to 2d,. If the third capacitor is then given a charge of Qo, what are the ratios (e) Cnew/C, and (f) AVnew/AVg? пеw пеw пewarrow_forwardSuppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius ry has charge -Q. The electric field E at a radial distance r from the central axis is given by the function: E = ae-r/ao + B/r + bo where alpha (a), beta (B), ao and bo are constants. Find an expression for its capacitance. First, let us derive the potential difference Vab between the two conductors. The potential difference is related to the electric field by: Vab = Edr Calculating the antiderivative or indefinite integral, Vab = (-aaoe-r/ao + B + bo By definition, the capacitance C is related to the charge and potential difference by: C = Evaluating with the upper and lower limits of integration for Vab, then simplifying: C = Q/( (e rb/ao - eralao) + ß In( ) + bo ( ))arrow_forward
- In dielectric material with ε = 2.8 ε0 , V = sin(3φ). At point P (1, 5°, 4), the volumetric charge density equals to?arrow_forwardHow many electrons must be removed from an initially neutral conducting sphere with a 3 cm radius to give it a potential of -24000 V? If electrons need to be added, give a negative answer.arrow_forward1:31 A parallel-plate capacitor has capacitance Co-5.00 pF when there is air between the plates. The separation between the plates is 1.5 mm (a) What is the maximum magnitude of charge Q that can be placed on each plate if the electric field in the region between the plates is not to exceed 3.00 x 10 V/m? (b) A dielectric with K = 2.70 is inserted between the plates of the capacitor, completely filling the volume between the plates. Now what is the maximum magnitude of charge on each plate if the electric field between the plates is not to exceed 3.00 x 10 V/m? Select one: a. (a) Q = 6.50 x 10-10 C, (b) Q = 7.75 x 10 10 C b. (a) Q = 2.25 x 10-10 C, (b) Q = 6.08 x 10-10 Carrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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