Question

d/2 d/2 Figure 1: (a) Question 2, (b) Question 3 1. The charges and coordinates of two charged particles held fixed in an ry plane are q+3.0uC, 3.5 cm, y0.50 cm, and 24.0uC, 2 (a) Find the -2.0cm, y2 1.5 cm i. magnitude and ii. direction of the electrostatic force on particle 2 due to particle 1 (b) At what i. z and ії. y coordinates should a third particle of charge g.-+4.0 μC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero? 2. Figure 1(a) shows an electric dipole. What are the (a) magnitude and (b) direction of the dipole's electric field at point P, located at a distance r >> d? 3. In Figure 1(b), a thin glass rod forms a semicircle of radiusr5.00 cm. Charge is uniformly distributed along the rod, with +q-4.50 pC in the upper half and-q =-4.50 pC in the lower half. What are the (a) magnitude and (b) direction of the electric field E at P, the center of the seicircle? 1. The charges and coordinates of two charged particles held fixed in an xy plane are q1 = +3.0 μC, 1-3.5cm, y1-0.50cm, and 24.0 C, 22.0 cm, 2 1.5cm (a) Find the i. magnitude and ii. direction of the electrostatic force on particle 2 due to particle 1 (b) At what i. z and ii. y coordinates should a third particle of charge q34.0 C be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero?

Answer 1

з _ _ 4.qc -4-r l0-е _ С. 9 a 2,1.5) cm 21 whru ( 3.5ー(-2))"十(1.5-0.5c v1 = 5.590 cm auu to ui t1c

2 4TTEo - 12 5.59 x 10-

toms, 1o.30 ว่า0w 349.7

b) wu but the chan n, fom The char commechhm q1 and q2 la 13 2. o. 144 .ทีเ

34.562 011 o-L千千 34 562 6 45 cm m 0.06千5 d iy as lo 30 2, 1.5) m

-2-6.45 cos (10.30 8.34 cm rYt is, η (10.30. 1.5 t m Lo 30 2.65 cm