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# Physics for Scientists and Engineers II (GT PH 142

CSU

GPA 3.64

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This 13 page Class Notes was uploaded by Giovanna Yost on Tuesday September 22, 2015. The Class Notes belongs to PH 142 at Colorado State University taught by Staff in Fall. Since its upload, it has received 53 views. For similar materials see /class/210317/ph-142-colorado-state-university in Physics 2 at Colorado State University.

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Date Created: 09/22/15

PH 142 FALL 2014 WRITTEN HOMEWORK ASSIGNMENT 2 1 10 points A positive charge Q is uniformly distributed along the X axis between x0 and xa A point charge q is placed at coordinates O xr as shown in the gure Find a The electric eld created by the charge distribution Q in the point where the charge q is located b The force over the charge q Hint Express the result as a function of a r Q q and the Coulomb constant k v 2 10 points Find the electric field created in the point P by the conductor shown in the gure The charge density in the conductor isA n6 Cm Hint Express the result as a function of n r and the Coulomb constant k 3 10 points An in nite line of charge linear charge density A2 nCm lies parallel to the y axis at x1m An infinite plane of charge perpendicular to the xy plane surface charge density 0 4 nCm2 cuts the line charge at 1 m1 m forming an angle a 45 with the line Find E at P 01 m Hint Let 0 correspond the direction parallel to the x axis Use the formula 226 for the electric eld due to a uniformly charged line and 22 10 for the electric eld ofa uniform plane charge Y 4 10 points A uniformly charged nonconducting solid infinite cylinder of radius R has its center at the origin and has a volume charge density p a Find the electric field in a point within the cylinder a distance r from the center b Material is removed from the cylinder leaving a cylindrical cavity that has a radius b R2 and its center at x b on the x axis as shown in the figure Calculate the electric field at point P as shown in the figure Hint Model the cylinder withcavity as two uniform cylinders of equal positive and negative charge densities a b V 5 10 points A nonconducting spherical shell of inner radius r1 and outer radius r2 has a non uniform volume charge density pdr2 or is a constant a Find the electric field in region rltr1 b Find the electric field inside the shell region r1ltrlt r2 c Find the electric field in region lll rgtr2 Hint express the results in terms of r r1 r2 d and so PH 142 FALL 2014 WRITTEN HOMEWORK ASSIGNMENT 1 1 10 points A horizontal tube with length L has two positive charges Q1 and Q2 on the edges A small ball can move without friction inside the tube see figure This small ball has a charge 0 and the same diameter as the tube Find the static equilibrium position for the small ball 2 17quot 0 Hint Ignore the gravity Express the result as a function of Q1 Q2 and L l C Q1 L 02 2 10 points Two point charges q1 2 C and q2 5 C are located in the xy plane at coordinates 20 m and 30 m respectively Find a The electric eld created for both charges at points 00 50 and 02 b the electric force on a point charge of 200 C placed at points 00 50 and 02 3 10 points Three point positive charges q 10396 C are on the corners of a square that has sides of length L 1 m see gure Find a The electric field on the fourth corner b The electric force on charge q 2gtlt10396 C located in the fourth corner 10 6C 10 6C 10396C 4 10 points Two small spheres each with mass m 50 g and charge q are suspended from a point by threads of length d 50 cm see figure What is the charge on each sphere if the threads make an angle 9 22 with respect to the vertical 5 10 points A negatively charged particle with kinetic energy of 2 x 103916 J enters a region of uniform electric field E If the charge q 1602 x 103919 C mass m 911x103931 kg the electric field strength E 2gtlt104 WC and width W 4 cm a How far is the particle from the axis x when it emerges from the other side b What is the velocity 3 of the particle when it emerges from the other side c At what angle is the particle moving with respect to the axis when it emerges from the other side Hint Ignore the gravity 13 is a vector so you have to find the 12x and 12y components when the particle emerges from the other side A A A AEA A A A Q 39 Q l a3 v 4 U gm lt e gt X L HEquot 721 eech rc 6qu er 5c 19ch A j 6L1quot x glv ec n an 9 F K Q3939Q Zgt cm X7 a 559 lt 016 M gt a 3 6 gig FazQ 72752 a v Alumna j 0 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