please help me answer the following 12 exercises

1 and 2

Three charges are arranged as shown in the figure below. Find the magnitude and direction of the electrostatic force on the charge q = 4.84 nC at the origin. (Let r12 = 0,260 m.) y q , r\" 6.00 n2 0.100 m d 300 \"C | Q) magnitude :1 N direction :] counterclockwise from the +X-axis Need Help? Show My Work (Omlon-I)o 2. [-/2 Points] SERCP11 15.2.P.013. ASK YOUR TEACHER [ Three point charges are located at the corners of an equilateral triangle as in the gure below. Find the magnitude and direction of the net electric force on the 1.40 pC charge. (LetA = 1.40 \"C, B = 7.10 mi, and C = 4.12 uC.) ' B 0.500 m 600 ') x A C' magnitude :] N direction below the +x-axis (a) Determine the electric field strength at a point 1.00 cm to the left of the middle charge shown in the figure below. (Enter the magnitude of the electric field only.) 6.00 MC 1.50 AC -2.00 JC + 3.00 cm -2.00 cm - N/C (b) If a charge of -5.41 JC is placed at this point, what are the magnitude and direction of the force on it? magnitude N direction ---Select--- Need Help? Read It Show My Work (Optional) 4. [-/1 Points] DETAILS SERCP11 15.3.P.031. MY NOTES In the figure below, determine the point (other than infinity) at which the total electric field is zero. 1.0 m -2.5 MC 6.0 MC m to the left of -2.5 x 10- C chargeThree charges are at the corners of an equilateral triangle, as shown In the figure below. Calculate the electric eld ata point midway between the two-charges on the x-axis. (Let q 4.50")\"; L72 .00 \"C, and q3 3' q. 0.500 m 60.0" g magnitude :] N/C direction ': below the +x-axis Need Help? Show My Work (Optional) 0 Submit Answer 6. [-/2 Points] SERCP11 15.8.P.046. ASK YOUR TEACHER [ The electric eld everywhere on the surface of a charged sphere of radius 0.265 m has a magnitude of 580 MC and points radially outward from the center of the sphere. (a) What is the net charge on the sphere? :inc (b) What can you conclude about the nature and distribution of charge inside the sphere? Suppose the conducting spherical shell in the figure below carries a charge of 2.80 nC and that a charge of -2.40 nC is at the center of the sphere. If a = 1.80 m and b = 2.40 m, find the electric field at the following. (a) r = 1.50 m magnitude N/C direction ---Select-- V (b) r = 2.20 m magnitude N/C direction --Select-- V (c) r = 2.50 m magnitude N/C direction ---Select--- (d) What is the charge distribution on the sphere? inner surface nc outer surface ncA point charge q is located at the center of a spherical shell of radius a that has a charge q uniformly distributed on its surface. Find the electric field for the following points: (a) for all points outside the spherical shell 05:0 0 none of these 0 E = keg/r2 O E = (:1/4nrr2 O E = keqzlr2 (b) for a point inside the shell a distance rfrom the center OE=0 O E = 51/4an 0 E = keqz/r2 O E = keg/r2 0 none of these Need Help? _ Show My Work (Optional) a [-13 Points] DETAILS SERCP11 16.1.P.007.MI. Oppositely charged parallel plates are separated by 4.13 mm. A potential difference of 600 V exists between the plates. (a) What is the magnitude of the electric field between the plates? N/C H (b) What is the magnitude of the force on an electron between the plates? N U (C) How much work must be done on the electron to move it to the negative plate if it is initially positioned 2.78 mm from the positive plate? J H The figure below shows two small, charged beads separated by a distance of d = 2.50 cm. The charges are q, = -17.0 nC and q2 = 27.5 nC. Point B is at the midpoint between the two charges, and point A is at the peak of an equilateral triangle, with each side of length d, as shown. (Assume the zero of electric potential is at infinity.) d 60.0 B (a) What is the electric potential (in kV) at point A? KV (b) What is the electric potential (in kV) at point B? kV[1 Three charges are situated at corners of a rectangle as in the figure below. How much work must an external agent do to move the 8.0 pC charge to infinity? 8'01\": 6.0 cm l 5.0 cm 2.0m: 4.0};(2 @ :1 J Need Help? Show My Work (Optional) a 1. [-13 Points] DETAILS SERCP11 16.2.P.015.MI. Two point charges Q1 = +4.40 nC and (22 = 2.50 nC are separated by 55.0 cm. (a) What is the electric potential at a point midway between the charges? :l V (b) What is the potential energy of the pair of charges? :1 What is the signicance of the algebraic sign of your answer? 0 Positive work must be done to separate the charges. 0 Negative work must be clone to separate the charges. ( 6 ) Let If' bed the charge on the sphere. Given, R= 0. 265 m and E = 580 N/C i.e For Radially outward, E = 580 N/C 9 - positive charge. a ) using Relation, E= KQ ( at surface of sphere) R Z 5 80 = (9x 109) 9 ( 0 . 2 65 ) 2 9 = +4.53 x 15 C 19 = + 4.53 nc