2. An extremely long hollow cylinder (inner radius a, outer radius b) is made of a linear homogenous dielectric of permittivity e. A charge per unit length of -λ is evenly spread over the inner surface. Find P, E and D everywhere.
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- NEW General HI Q Q ↓ Close 5. The figure shows a charged dielectric sphere centered at the origin and touches an infinite line of charges at x=4 m. The charged line extends along the z-axes as shown. Find the magnitude of the electric field (in N/C) at x=3 m. z (m) y (m) Q= 10 nC X=4 m X (m). Infinite line charge with A= 4 nC/m A) 3.22 B) 50.1 C) 72 D) 67.8 E) 4.2 Image 11:36 AM 6185 Sunny 4× DEU 137. Dinesh is studying about the insulator materials, now he is considering to have a thin insulating three-quarter circle of radius, R, y is held fixed in the xy-plane with its center at the origin of the coordinate system, as he draws in down here. It carries a negative charge of -3Q uniformly distributed over its length. An electron is released from rest at the origin. R (a) Find the initial acceleration of the electron in terms of the system parameters. Express your answer in unit vector notation. (Gravity may be neglected.) (b) Determine the maximum speed the electron reaches in terms of the system parameters.3. A point charge q is located a distance d above an infinite conducting plane (at a potential of zero). Find the force on another charge Q located a distance d/2 below the first charge. d +4 d2+Q images methel of im -> У V = 0 4.
- A spherical conductor, of radius a = , carries a charge Q = 132 T€0 µC. It is 2 mm surrounded by linear dielectric material of permittivity e = 4 €0, out to radius b = 8 mm , The electric field at a point 14 mm away from the center of the spherical conductor is : а. 2.36 b. 0.04 c. 0.17 d. 0.59 е. 0.00A very long insulating cylindrical shell of radius 6.70 cm cames charge of linear density 8.70 μC/m spread uniformly over its outer surface. You may want to review (Pages 765-769) For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of An infinite line charge or charged conducting cylinder What would a voltmeter read if it were connected between the surface of the cylinder and a point 4.80 cm above the surface? 195] ΑΣΦ AV= Submit Request Answer Part B AV- What would a voltmeter read if it were connected between the surface and a point 1.00 cm from the central axis of the cylinder? 1Η ΑΣΦΑ Submit ? Request Answer V ? V11
- 6. Free-Response Questions Five charged particles are equally spaced around a semicircle of radius 100 mm, with one particle at each end of the semicircle and the remaining three spaced equally between the two ends. The semicircle lies in the region y > 0 of an xy-plane, such that the complete circle is centered on the origin. Each particle carries a charge of magnitude 6 nC. (Give all direction angles with respect to the +x-axis) +9 O +9 -q -q a. Draw and label a diagram that includes all electric field vectors at point 0. Include x- and y-components if necessary. b. Calculate the magnitude and direction of the net electric field E at point 0. c. If a 2 nC-charge is placed at point 0, calculate the magnitude and direction of the electric force Ⓡ that it experiences.Q1. AA charge q is place at the centre of a conductive spherical shell with a radius R filled with a dielectric of permittivity ɛ. Find the electric field inside at the distances r< R. E = 4πεr (b) E = 4 TE,r (a) R E = (c) E = 4πεr (d)As a honeybee flies, the passing air strips electrons from its hairs, giving the bee a net positive charge. Since flowers are negatively charged, pollen then jumps onto a bee even if the bee does not physically touch the pollen particles. (a) Estimate the diameter of the central disk of a daisy. (b) If a bee has had 75,000 electrons stripped by the air, what is its net charge? (c) If this bee lands at the edge of the daisy’s central disk, determine its electric field at the far edge of the disk. Treat the bee as a thin-walled hollow sphere with its net charge distributed uniformly over its surface. (d) A pollen particle requires a force of 10 pN to dislodge from a stamen. Estimate the net charge on a pollen particle at the far end of the disk required for the particle to dislodge and jump to the bee.
- Electric charge can accumulate on an airplane in flight. You may have observed needle-shaped metal extensions on the wing tips and tail of an airplane. Their purpose is to allow charge to leak off before much of it accumulates. The electric field around the needle is much larger than the field around the body of the airplane and, can become large enough to produce dielectric breakdown of the air, discharging the airplane. To model this process, assume that two charged spherical conductors are connected by a long conducting wire and a charge of 60.0 µC is placed on the combination. One sphere, representing the body of the airplane, has a radius of 6.00 m, and the other, representing the tip of the needle, has a radius of 2.00 cm. (a) What is the electric potential of each sphere? r = 6.00 m: V r = 2.00 cm: (b) What is the electric field at the surface of each sphere? r = 6.00 m: magnitude V/m direction ---Select-- r = 2.00 cm: magnitude V/m direction --Select---Your answer is partially correct. Try again. A charge of -8.5 nC is uniformly distributed around a thin plastic ring lying in a yz plane with the ring center at the origin. A -5.0 pC point charge is located on the x axis at x = 3.8 m. For a ring radius of 1.2 m, how much work must an external force do on the point charge to move it to the origin? Number 0.00000008728 Units the tolerance is +/-5%A sphere of radius R is charged with total charge -2g distributed uniformly inside the sphere's volume (p = constant). In addition to the volume charge, there are also two point charges q inside the sphere, both on the x axis, at identical distances from the center, d (see figure). y -29 R q q 6 d d x What should be the value of d so that both point charges would be at equilibrium? Select one: O a. d= ○ b. d = R2R 23 О с. d = 2 ○ d. d = R Ꭱ ○ e. d = RRRL 4 Ꭱ