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point charges are arranged along the x axis as shown 3, 7wo point chagges are ar

ID: 1874492 • Letter: P

Question

point charges are arranged along the x axis as shown 3, 7wo point chagges are aranged along field equal to zero a) at region of A, B, and C where is the electric ti Show your analysis (b) at region of A, B, and C where is the electric potent Nore: At infinity, the electrie potential is zero. () caleulate the e fhom origin o eosnbrulate the electrie potential at the point P that is 0.5 m away cm (d) calculate the electric field (magnitude and direction) at the point middle of two charges) from origin o. P that is 0.5 m away 4. A 220- resistor is connected across an ac voltage source l, = (1 SO V) sin [2r(60 Hzrl What is the average power delivered to this circuit (i.e. resistor)? A) 51 W B) 110 w C) 280 W D) 320 W E) 550 W P-?

Explanation / Answer

3. given two point charges

a. as the point charges are of same sign, the electric field can be 0 only in between them

hence

the electric field is 0 in the region B

b. potential energy cannot be 0 at any place as both the charges are of the same sign

c. PE at the middle point = kq1/0.5 + kq2/0.5 = k(-3 + 5)*10^-6/0.5 = -35600 V

d. at the middl eof the two charges

Electric field = kq1/0.5^2 - kq2/0.5^2 = k(-3 - 5)*10^-6/0.05^2 = -28736000 V/m

4. R = 220 ohm

V = 150 sin(2*pi(60t))

average power = Vm^2/2R

Vm = 150 V

hence

Pav= 51.1363636 W

option A)