Free Response Questions #1 Coulomb\'s Law (16 Points) e coordinate of 1 +2.0 fc,

Question

Free Response Questions #1 Coulomb's Law (16 Points) e coordinate of 1 +2.0 fc, Q2--20 C are separated by 0.20 meters, suoh that s of Q1 in the ry plane are (0.0 m, 0.10 m) and the coordinates of Q are Two charges are Qi (0.0 m,-0.10 m) a. Make lines in relation to the charges. a sketch of the charge configuration in the y plane and show the electric field b. Calculate the vector valued electrostatic force on Q2 due to Qr -0.39AN (8.aan2''-'.Nexis‘ ) (-1x ; 6 ) C .2 . c. Find the vector valued electrostatic force on Q1 due to Q2. Hint: use Newton's Third Law. d. Calculate the vector valued electric field at the origin i.e. (0.0 m, 0.0 m)] halfway between the charges. rueis vect.r sa-r ra ta.alculste -12 vc w,tt tesc

Explanation / Answer

given

Q1 = 2 uC

Q2 = -2 uC

d = 0.2 m

Q1 (0,0.1)

Q2(0,-0.1)

b. electrostatic force on Q2 due to Q1 is

F = kQ1Q2/d^2 (j) ( where j is unit vector along y axis)

hence

F = k*2*2*10^(-12)/0.2^2 = 0.898 j N

c. force on Q1 due to Q2 = -F = -0.898 j N ( from newtons thord law)

d. Electric field at origin = -2kq/(d/2)^2 = -3592000 j V/m

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