inn ind parallel sheets of charge have the same surface charge density & C/m². What is the field (a) in the region between the sheets and (b) in the regions not be- tween the sheets?
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- A disk of radius R is cut in a non-conducting large plate that is uniformly charged with charge density (coulomb per square meter). See below. Find the electric field at a height h above the center of the disk (hR,hlorw) . (Hint: Fill the hole with . )2) A point charge with value 2uC is placed at the origin of coordinates in void. The charge suffers a force with value 8x10 i N at that point (OX axis positive direction). Determine a) The magnitude and direction of the electric field at the origin; b) The force that a -6µC point charge would suffer at that point.(II) The field just outside a 3.50-cm-radius metal ball is 3.75 X 102 N/Cand points toward the ball. What charge resides on the ball?
- (c) Calculate the magnitude of the force on the charge q, given that the square is 10.0 cm on a side and q=2 μC. Fr net = 0 Case II. 9a = b = +8 μC and qc = qd = -8 μC. N (e) Due to symmetry the direction of the net force is D. In the -y direction Fnet (d) In your notebook, draw the forces on q due to qa, qb, qc, and qd. Or use the result of of Homework: Charges on a Square Free Body Diagram. = 83.91 qc Hint: For each force draw the x and y components. Some will add and some will cancel. (f) Calculate the magnitude of the force on the charge q, given that the square is 10.0 cm on a side and q=2 μC. X N No, that's only partially correct. O qd X*25 Figure 22-49 shows three circu- lar arcs centered on the origin of a co- ordinate system. On each arc, the uni- formly distributed charge is given in terms of Q= 2.00 µC. The radii are given in terms of R= 10.0 cm. What are the (a) magnitude and (b) di- rection (relative to the positive x direc- tion) of the net electric field at the ori- gin due to the arcs? 3R d6+ -4Q 2R +Q -R Figure 22-49 Problem 25.(2.)(II) Two equal point charges Q are located on the y axis at y = a and y = -a. (a) What is the force on a charge q located at (x, 0)? (b) For what value of x is the force a maximum? Make a rough plot of F(x), the force as a func- tion of x. (c) When x > a, what is the form of F(x)? (Hint: Use the binomial expansion (1+z)" = 1 + nz for small z.)
- ((201)- durm. O Diferansiyel Denkle. Two charged particles are placed at the corners of a right triangle as shown in the figure. The net electric field at point P is in +x direction. Find q2 in terms of q1. (sin 53.1° = cos 36.9° = 0,8 and sin 36.9° = cos 53.1° = 0, 6) matris I dif a AP Physics Lectures.. WeBWc P Enet Oa. 92 8. Ob. 42 25 36.9 12 92 Oc. 42 64 27 91 O d. 92 16 9. O e. 64 91 27 Of. 92 169 16 92 81 O h. 92 = 36 25 10431. (a) Under what conditions is the clectric field at a distance r away from a charge distribution of total charge Q given by 1 Q E (r) 4T€0 r2 (b) Under what conditions is the clectric ficld acting on a point charge, q, given in terms of the clectric force by E = FE/q?A proton and electron separated by 2× 10^-10 m form an electric dipole, look figure. Useexact formula to calculate the electric field on t he X-axis at a distance 20 × 10^-10 m to the rightof the dipole’s center?
- Problem (2): Inthe vicinity of point charge q, we place a 0.2 µC-charge so that a force of 5 x 10 Napplied on it due to the charge q.Find the ele ctric field produced by this unknown charge q?7 Figure 21-16 shows three situations involving a charged parti- cle and a uniformly charged spherical shell. The charges are given, and the radii of the shells are indicated. Rank the situations ac- cording to the magnitude of the force on the particle due to the presence of the shell, greatest first. +2g +6g 2R +5Q R/2 -4Q +8Q (a) (b) (c)I Two point charges, -10 nC and +15 nC, are held fixed a distance 0.50 m apart. (a) Where can a +20-nC charge be placed so that the net force on it is zero? (b) Repeat part (a) if the third charge is -20 nC.