The figure above shows a contour consisting of two semicircular parts, of radii a and b respectively (b> a), that are connected by two short straight-line segments. This contour has a uniform charge distribution o, on it. Determine the electric field created by this charge distribution at the origin of the coordinate system in terms of a, b, and P1-
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- = Adx. Then find the net field by integrating dE over the length of the rod. Use the following as The charge per unit length on the thin rod shown below is 2. What is the electric field at the point P? (Hint: Solve this problem by first considering the electric field dE at P due to a small segment dx of the rod, which contains charge . necessary: L, a, 2, and ɛn. Enter the magnitude. Assume that A is positive.) L A 1 E = 4ne L+A aConsider a ring of charge. The ring is in the x-y plane and has a radius of 3.5 m. The charge per angle as a function of angle α (in radians) around the ring is given by dQ/dα = 6.9 α (nC/rad). Calculate the z-component of the electric field, in N/C, at the coordinate (0, 0, 9 m). Use k = 9 x 109 N m2 / C2. (Please answer to the fourth decimal place - i.e 14.3225)Suppose three charges: q = 4.00 nC, q, =-4.00 nC, q3 =2.40 nC are enclosed by five surfaces as shown below.Give the electric flux through each surface. Input all numerical values in three significant figures. Do not forget to include the sign if the value is negative.
- can you please ans (a) & (b)?A cubic space (2m on each side) contains positively charged particles. Imagine that the space is surrounded by a Gaussian surface of the exact same dimension as the cube and that the E-Field caused by the charges is normal to the faces of the Gaussian cube. If the E-field at each surface has a magnitude of 760 N/C, determine the number of charges per unit volume in the space described and find the volume charge density ρ.In Figure (a) below, a particle of charge +Q produces an electric field of magnitude Epart at point P, at distance R from the particle. In Figure (b), that same amount of charge is spread uniformly along a circular arc that has radius R and subtends an angle 8. The charge on the arc produces an electric field of magnitude Earc at its center of curvature P. For what value of 0 (inº) does Earc = 0.75Epart? (Hint: You will probably resort to a graphical solution.) +Q ||▬▬R—-| Number i P (a) ! +Q{{0/2 VR 8/24 (b) Units O (degree
- Six negative charges and two positive charges, all of equal magnitude Q, are arranged as shown in the Fig. A. The radius of the circle is r. The magnitude of the electric field generated by a single charge Qis, E = 150 N/C at the origin. (a) What is the magnitude of the net electric field at the origin O. (b) What is the direction of the net electric field? Choose from the arrows shown in Fig. B. -Q D* 0 Fig. B -Q' Fig. A Your Answer: (a) Magnitude: (b) Direction: (Choose from the arrow).A charge distribution creates the following electric field throughout all space: E(r, 0, q) = (3/r) (r hat) + 2 sin cos sin 0(theta hat) + sin cos p (phi hat). Given this electric field, calculate the charge density at location (r, 0, p) = (ab.c).Points A, B, and C are at the vertices of an equilateral triangle. A certain positive charge q placed at A produces an electric field of magnitude 311 N/C at C. Suppose a second, identical charge is placed at B. What is the magnitude of the new electric field at C?
- Question 6 := Homework. Unanswered Multiple Plates -- Two infinite, uniformly charged plates have the same magnitude of surface charge density O. They are orientated in the illustration looking down the planes. Please note that is a positive value. Place your target in a region (inside a blue circle) of net electric field that points to the RIGHT. To do this, you will have to add two constant electric field vectors produced by the Then select the region where the net field points to the RIGHT. Figure [6.24]. planes for each region. 00 -0 Undo Delete selected Remove All o O Targets placed: 0/1 You can place up to 1 targets+X, to positive infinity. The line carries positive charge with a uniform linear charge density Ao. A continuous line of charge lies along the x axis, extending from x = (a) What is the magnitude of the electric field at the origin? (Use the following as necessary: 1o, xo, and ke.) 0. %3D (b) What is the direction of the electric field at the origin? O +X +y O -zIn Figure (a) below, a particle of charge +Q produces an electric field of magnitude Epart at point P, at distance R from the particle. In Figure (b), that same amount of charge is spread uniformly along a circular arc that has radius R and subtends an angle 8. The charge on the arc produces an electric field of magnitude Earc at its center of curvature P. For what value of 0 (in º) does Earc = 0.75Epart? (Hint: You will probably resort to a graphical solution.) +Q |▬▬▬R—-|| Number i P (a) AR +Q}/0/2/ (b) Units ° (degree: