Question

Two charges, 91 = 80 nC and 42 = -20 nC are instantaneously located on the x-axis a distance I = 0.20 m apart as shown in the figure below. The two charges are moving with velocity v = 1.80 Mm/s in the +z direction. There is nothing at the point P a distance y = 0.70 m above the x-axis in the +y direction. P 2 X NR

Answer 1

a) Electric field at point ? g those ter 41 o 92 o A q, v 92 2 2 Ego - gone electrut field at I due to 22 92 47760 () I (-)) 9x10° x boxlo 0.49 40 8 ) 367 N - С Ea electric field at P due q Coso (i) + + 4760 (21) to 9 q, sino (5) Unto (1)

to 9. y component of electric field due Charge ao at point P, folha Sin o (9) 41T to (1) 80x109 sind (1002) + 10.772 / From, rt, angled AOPA, Sin o = 560.3+(0.772 L 47 Go O. 70 0.96 0,7 0.728 Elho 9 109 80 x 109 xo.96 0.53 ģ 13оч і m y-component of net electru field at Point ? 130 4 367 je 937 N ♡ m

P at field due to moving charge Magnetic q les Mo quan YT 3 n Te 0.00 î toto ve 1.80 mm/tee 0,728 m  म ... B = 4tx 107 80x10-9 1.8x16" K x 10.7i+ (0.728)3 0.75] UT Bi - 10* x 80x16' x 16[0,36 j + [0,36 + 1.26.(-2)] 0 3858 as xi = kx j = - • 8, 74.65 xlola + 261.97 x 10 19 (-i)T

Magnetic fuld at point P due to moving charge B Mo q exhi Чт ni 10th 1-20 xlo") 1,8x16° Ã X 10.7 ņ) 1073 te 1 - 20x 1019 x 1.88 to 07 (1) 10.73 " x = (-2) B₂ 73.46 x 10 -79 ( € ) Tesla Net B + Bo magnetic field - Bret 124.65 65 + 961.97 (-1) + 73.46 (0)7 x16" Tesla Bnet e -19 188 (T) + 74.650) x16 Tesla y-component of net magneter field 75 x 10-19 Tesla
part c)

It is clearly shown in part b that the direction of magnetic field due to charge q2 at point P is in. + i direction .