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Physics 262 Spring 2018 Exam 1 LONG ANSWER: Please solve the problem on the atta

ID: 1874944 • Letter: P

Question

Physics 262 Spring 2018 Exam 1 LONG ANSWER: Please solve the problem on the attached long answer template. Starting from fundamental and showing all work. 1) Two poin t charges, Q1--4.0 C and Q2-+ 7.0 , are placed as shown in the figure. (4-1/4m= 8.99 x 109 N·m2/C2) what is the y component of the electric field,at the origin O? 1.9 m 1.2 m 12 2) Two point charges of+5hC and-9.0 pC are located on the x-axis at x =-1.0 andxs t2.0 respectively. Where should a third charge of +3.0-uC be placed on the +x-axis so that the poter at the origin is equal to zero? (k = 1/40-8.998 109 N-m2/C2)

Explanation / Answer

1. givne

Q1 = -4 uC

Q2 = 7 uC

hecne y component of electric field at the origin is

Ey = k*Q2(-1)1.9/(1.9^2 + 1.2^2)^3/2 = -10524.244 V/m ( alomg -ve y directoin)

2. q1 = 5 uC

q2 = -9 uC

x1 = -1 cm

x2 = 2 cm

q3 = 3 uC

for the potential to be 0

let the charge be placed at coordinate x

then

kq1/(-1) + kq2/2 + kq3/x = 0

-5 - 9/2 + 3/x = 0

x = 0.3157894 cm ( where potential is 0)