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 . )(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?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.
- 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?(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.)1. (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?
- 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)((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 1043I 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.