Solve the ff Exercise Sample Problems The electric eld between the electrodes of the gas discharge tube used in a certain neon sign has the magnitude 5.0 x 104 %. Find the acceleration of the neon ion of mass 3.3x10'26kg in the tube if it carries a charge of +5 since 9 = 1.6 x 10196 the force on the ion has the magnitude N F = (1].? = (1.5 x 10-19(3) (5.0 x 104) C = 8.0 x 10-15N Hence the acceleration of the ion is _ F _8.0x1015N_ _ 2 4 1011m a _ m _ 3.3x10'26kg _ a _ ' x 52 The electric eld of two positive charges. If two equal positive charges, q1 = q2 = 2.00 x 1066 or 2.00 \"C are situated 1 m apart. Find the resultant electric eld intensity. (Q1512) EzizK T2 :qu022 t}? (In Two T12 q E _ _ r12 (Q1512) 135 K r2 =quo_ I}? (In Tzqo T22 q E _ If the electric field intensity is known in a region, then What is the electric field strength at a point we determine the force on any charge q placed in that that is 0.25 m to the left of a small sphere with field from equation F = qE a charge of -3.8 x 10 -6 C? Kq E = The electric field of a point charge. Find the magnitude of the electric field intensity at a distance of 0.500 m from a 3.00 u C charge. We find the magnitude of the electric field intensity of A sphere has a 400 N/C electric field. A small a point charge from the previous equation with the sphere is 0.20 away from the sphere. What is force found on Coulomb's law. the charge in the sphere? q qo) Kq Fe = K E = - 72 ; Er2 = Kq; 72 That is E7-2 q = K(9192) K E = F r2 Kqqo Ka qo qo r290 Kq E = 7-2 Kq 9.00 x 109 Nm2 C2 (3.00 x 10-6C) E = r 2 = 108,000 (0.500 m)2 z = 1.08 x 105The force on a charge in an electric field. A point A +2.0 mC charge is placed in an electric field charge q = 5.64 u C is placed in an electric field of at a point with a magnitude electric field 2.55 x 103 - Find the force acting on the charge. equivalent to 4.23 x 105N/C. Determine the magnitude of the electrostatic force acting on F F(qo) E = -; E(qo) = ; F = E(qo) the charge. qo go F F(qo) E = -; E(qo) = ; F = E(qo) F = qE = (5.64 x 10-6C) 2.55 x 103 go go F = E(qo) = = 1.44 x 10-2 NTwo charges, q1 = 2.00 x 1036 and q2 = 3.00 x 1086 are 50 mm apart. What is the electric eld halfway between them? At point halfway between the charges, 11 = r2 = 25 mm. Here the electric eld of the two charges have the respective magnitudes. Nm _ _ 9.00 x 109 2 8 C2 (2.00x10 C) E1 _ 2 _2 = 288,000 7'1 (2.5.7610 m)2 2 9 105g . x 2 C m 9.00 x 109 NC"; (3.00 x 1086) E = = 2 r22 (2.5x10'2m)2 4 3 105N . x C E = 132 + 131 E-(43 105N) (29 105N) . x C . X C E 1 4x 1055 _ _ c The direction of E is toward qr1 Two charges, q1 = 4.00 x 1086 and q2 = 5.00 x 1086 are 100 mm apart. What is the electric eld halivay between them? At point halfway between the charges, r1 = r2 = 50 mm. Here the electric eld of the two charges have the respective magnitudes. K '11 E = = 1 T12 K 61 E2 22 _ T2 A. Find how many eld lines can pass through. (10 pts) Example. In this example, lines are perpendicular In the similar example, lines are perpendicular to to a ring, and the maximum number of lines a ring, and the maximum number of lines passing passing though the ring is 10. though the ring is 8. How many lines pass through a ring if its angle How many lines pass through the ring if its angle from the normal is 60 degrees? Show your from the normal is 30 degrees? Show your computation and illustrate your answer. computation and illustrate your answer. 10 cos 60 = 10 x 0.5 = 5 lines Draw a ring to include the number of lines com uted. Will Illlllllll How many lines pass through the ring if its angle How many lines pass through the ring if its angle from from the normal is 65 degree? Show your the normal is 0 degree? Show your computation and computation and illustrate your answer. Draw a illustrate your answer. Draw a ring to include the number ring to include the number of lines computed. of lines computed.How many lines pass through the ring if its angle How many lines pass through the ring if its angle from from the normal is 84 degree? Show your the normal is 45 degree? Show your computation and computation and illustrate your answer. Draw a illustrate your answer. Draw a ring to include the number ring to include the number of lines computed. of lines computed.B. Using the equation DE = E EAA cos 0 . Complete the table below. (6 pts) Electric Flux Electric Field Area (m2) Angle (N/C) (degree) 600 N/C 5 m2 O 6.5 x 10 4 275 N/C 450 2750 2.75 m2 750 DE EAA cos 0 = EAA cos 0 = AA = = [ E cos 45 EAA cos 0 = > E = DE E AA cos 7 5 =