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- An electric field is given as 10e' (sin2za_ + xsin2za + 2xcos2za )V/m E =- y Find E at P(5, 0,2).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)A thick insulating spherical shell of inner radius a = 3, 13R and outer radius b = a uniform charge density p. = a b 10, 73R has What is the magnitude of the electric field at r = 14, 82R? Express your answer using two PR decimal places in units of
- eff 11 Ker + R3 R ko 4R P H2HJR What is V (4B)-V (0) ? insulating sphere is evenly distribuated throughout the volume)Use the worked example above to help you solve this problem. Tiny droplets of oil acquire a small negative charge while dropping through a vacuum (pressure = 0) in an experiment. An electric field of magnitude 5.75 x 104 N/C points straight down. (a) One particular droplet is observed to remain suspended against gravity. If the mass of the droplet is 3.48 x 10 12 kg, find the charge carried by the droplet. C (b) Another droplet of the same mass falls 7.4 cm from rest in 0.250 s, again moving through a vacuum. Find the charge carried by the droplet. EXERCISE HINTS: GETTING STARTED | I'M STUCK! Suppose a droplet of unknown mass remains suspended against gravity when E = -2.10 × 105 N/C. What is the minimum mass of the droplet? (Take the +y direction to be upward.) kg Need Help? Read ItHow large is the charge if the electric flux is 4 Nm²/C if the area is 5 m² and the force acting on it is 3 micronewtons?
- (3) Problem [5.64]: Consider an electron (q 3.2 x 10-19 C). -1.6x10-1⁹ C) that is 10-¹0m from an alpha particle (q (a) What is the electric field due to the alpha particle at the location of the electron? (Sketch and calculate) (b) What is the electric field due to the electron at the location of the alpha particle? (Make a sketch and calculate) (c) What is the electric force on the alpha particle? On the electron? (Make a sketch and calculate)Electric charge is distributed over the triangular region D shown below so that the charge density at (r, y) is o(x, y) = 3ry, measured in coulumbs per square meter (C/m2). Find the total charge on 4 3 21 2. 4 coulumbsTwo parallel conducting plates, each of cross-sectional area 400 cm2, are 2.0 cm apart and uncharged. If 1.01012 electrons are transferred from one plate to the other, what are (a) the charge density on each plate? (b) The electric field between the plates?
- A 10cm10cm piece of aluminum foil of 0.1 mm thickness has a charge of that spreads on both wide side surfaces evenly. You may ignore the charges on the thin sides of the edges. (a) Find the charge density. (b) Find the electric field 1 cm from the center, assuring approximate planar symmetry.Two large rectangular aluminum plates of area 150 cm2 face each other with a separation of 3 mm between them. The plates are charged with equal amount of opposite charges, 20C . The charges on the plates face each other. Find the flux through a circle of radius 3 cm between the plates when the normal to the circle makes an angle of 5o with a line perpendicular to the plates. Note that this angle can also be given as 180o + 5o.Two thin conducting plates, each 25.0 cm on a side, are situated parallel to one another and 5.0 mm apart. If electrons are moved from one plate to the other, what is the electric field between the plates?