Question

Plz show every step and explaintion why

2. Three charges with magnitudes Q = 5 C and q = -10 C are located in the three vertices of a square with length d = 10 m as shown in the figure, Point P is located in the upper right vertex. Here we assume the electric potential at infinity is 0. (Use Pythagorean theorem to figure out a distance from q top) i) What is the electric potential at point P. ii) What is the electric field at point P? Specify the magnitude and direction. iii) If you put a test charge qo = 1 C at the point P, what is the electric force acting on the test charge? ch M doo MK240 06 Assign...doc PH102-01 Practice. pdf PH102-01 Prartiren

Answer 1

Solution :- - 2 Given, 0=50 q=-10C length, d= lom QA---- - di dire Distance, qto p= Vd²+d? = V2d² = drz 20-- z i) Net electric potential at P is, V = KQ + K har hon [: v- en ny [204] Tup = 2.64 X100 volts /

(ii) Electric field due to positive - charge is radially outward f - due to negative charge is radially - inward and magnitude is, M EN ::E,= Kent W En 7 E12 & to Now magnitude of E, & Ez ba resultant is, € 2 = √6,?+ E2 DE,en ?

So net resultant of E., Ez & Ez is, Enet = Eiz - Ez а d? 2d2 = K - - Jaxxx5 - = ethe (2 - ] svako" [6 - +] Enet = 4.11 X 108 V/m & 7 Enet 14 and direction is at 450 with P as shown in diagram. € i 6 - - gram

Lii) Electric fence, - F =qE = F = 1x 4.11X108 = /f = 4,110108 N * - along the direction of electric field (net) v) Total electric potential energy of 1. three charge system is, - Uz kell ke kola = 92085 ( - 10-10 4 ] system = -7.41 X 10 Joules