Question

For the point charges shown below, use the coordinate system indicated. ke = 9.00 x 109 N-m2/C2 80 = 8.85 x 10-12 C2/N- m2 92= -3.00 uc 35.0 cm q1=2.00 uc 20.0 cm 60.0° 25.0° P a) What is the electric field at point P due to charge 1 ONLY, in unit vector notation? b) What is the total electric field at point P due to both charges, in unit vector notation?

Answer 1

ใน Ez Ersino q, E, so Elloso o Tel. Р Ei YE, sin & (0-222 Electric field at point p die 9, = 2x106L at 0-2m E, = kai = 9x109 x 2x106 8,2 4.5x10° Nile (magnitude) E, cosp (-8) + E, sin 06-9) 4.5x10* ((25) (-x) + 4-5x 10 cm (22) (-) ----D8x10* ( )- |- Xipº (3) Electric field at P due to 12 = -3x10*C at 0-35 m = 2.2x10 wle (magnitude) (0-35)2 EL = Ez loso (-Å I + Ez Sino lŷ ) = 2:2x10 Los (60°) (-) + 2.2x109 sin 160°) ( û =-|-X10C () + 1.9x10slŷ) Net electric field at point P will be Enet = E,+ E - 4:58 Xio () – 1-7x10° ) - - XP* *) + - x1°t ) = -5.18 X10S N/C ) Ez=9x109 10' x 3X106 5