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- Consider s 14cm with a 32 PC. a thin sphevical shell total charge Q# o1:- of radius of its (a) the distribution. distributed unifarmly on surface. Find the electric field from 10-Ocm of (6) 20cm the charge centerarrow_forward1.13. Inside a sphere of radius R charged with constant volume density p, there is a spherical cavity of radius r, in which there are no charges. The center of the cavity is displaced relative to the center of the sphere by a distance a (a + r <R). Find the strength of the electric field inside the cavityarrow_forwardTwo identical He-filled spherical bal- loons each carrying a charge q are tied to a welght Wwith strings and float in equilibrium as shown in Fig. 1.12(a). Find: 1. the magnitude of 4, assuming that the charge on each balloon acts as if it were concentrated at the centre. 2. the volume of each balloon. 9, m 818 (a) 1 W q, m Fig. F← mg B T cose T T sin (b)arrow_forward
- The electric Charge uniformly distríbuted on the surface of an infinitely long cylinder of Radius R=o.4 mgwith the Sucface densíty Ps: 4X10"c/m² Placed in vacuum. Fínd the electric Patential at a Point M inside the Cylinder ( particul case, point m is 0.2 m Prom the center of the sphere), The reference is cm O8m from the centerarrow_forwardFigure 3: 4. Positive charge is distributed uniformly over each of two spherical volumes with radius R. One sphere of charge is centered at the origin and the other at x' = 2R (see Figure 3). The magnitude and direction of the net electric field due to these two distributions of charge at the following points are: (a)x = 0: Ē = E1 + Ē2 = 0 (True,False) (b)x = 5: E = Ē1 + Ē2 = Ē = E1 + E2 = 4r€0 (2R)2 Q 4r€0 R3 Q (True,False) 4T€0 (R)2 (c)x = R: Rî (True,False) 4TE0 R3 4T€0 R2 E = E1 + Ē2 = E = E1 + E2 (d)x = 2R: Q i +0 (True,False) 4T€0 (2R)2 Ri + 4περ R3 - Ri (e)x = 3R: (True,False) 4περ (3R) 2arrow_forwardTwo identical He-filled spherical bal- loons each carrying a charge q are tied to a weight W with strings and float in equilibrium as shown in Fig. 1.12(a). Find: 1. the magnitude of q, assuming that the charge on each balloon acts as if it were concentrated at the centre. 2. the volume of each balloon. 9, m (8) W q, m Fig. mg T cose T sine (b)arrow_forward
- 1.6. A uniformly charged insulating rod is bent into the shape of a semicirele of radius R = 5 cm. If the rod has a total charge of Q = 3.10°C, find the magnitude and direction of the electric field at 0, the center of the circle. (Answer: E = 6,84.10ʻV/m)arrow_forwardA very large thin plane has uniform surface charge density σσ. Touching it on the right (see the figure) is a long wide slab of thickness dd with uniform volume charge density ρEρE.(Figure 1) Determine the electric field to the left of the plane. Assume EE is positive if the field is directed to the right and negative if the field is directed to the left. Express your answer in terms of some or all of the variables σσ, ρEρE, dd, and appropriate constants.arrow_forwardAn infinite cylinder of radius R has a charge density given by p(r) = ar", where r is the perpendicular distance from the axis of the cylinder, and a is a constant. Show that the electric field for r > R given by aR E(r) 7€or satisfies V ·Ē = 0 for r > R. Explain briefly why this condition must be obeyed.arrow_forward
- (b) A smaller metal sphere, also mounted on an insulating plastic stand, is uncharged. This smaller sphere is moved close to the positively charged sphere. Fig. 1.1 shows the two spheres. positively charged sphere I-I smaller sphere plastic stands Fig. 1.1 (i) On Fig. 1.1, draw the distribution of charge on the smaller sphere. (ii) An earthed metal wire is touched against the smaller metal sphere. Štate and explain what happens to the charge on the smaller sphere. (c) Explain, in terms of their structures, why the metal wire is an electrical conductor but the plastic stand is an electrical insulator.arrow_forwardA charge emanates an electric field of 84N/C. If this field is placed on a circular surface with a radius of 66μm & is angled at 56° from the surface, what is the electric flux? Follow this format- Given: Required: Equtions: Solution: Answer:arrow_forwardpart 1 of 2 Consider the field due to a uniformly charged disk of radius R and charge Q. Along the symmetry axis at distance z from the cen- ter, the field has been written in following forms. where Eexact = Eo (1 。 (1-√R²+²) (1-7) E₁ ≈ Eo (1 R part 2 of 2 Eo = (Q/A) 280 To compare the accuracy of different ap- proximations it is convenient to work with the normalized difference to be specified below. The nth order smallness is charac- terized by e" and € = 3 with e being the smallness parameter. In general the nth or- der term takes the form Ce", where C is some finite constant (e.g 0.1arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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