ussighment 1 Begin Date: 7/2/2018 12:00:00 AM-Due Date: 8/2/2018 11:5900 PM End

Question

ussighment 1 Begin Date: 7/2/2018 12:00:00 AM-Due Date: 8/2/2018 11:5900 PM End Date: 8/2/2018 11:59:00 PM (696) Problem 9: A point charge of 4 l pC is placed at the origin (ri-0) of a coordinate system, and another charge of-28 ?c is placed placed on the x-axis at x2 0.29 m. 50% Part (a) where on the x-axis can a third charge be placed in meters so that the net force on it is zero? x-0.83 Potential sin0 coso tan() ?:( Attempts remai (0% per attemp detailed view atan acotansinhO cosh t cotanh0 END NO Hint Feedback:e deduction per feedback Hints: 0% deduction per hint. Hints remaining: ted ted ted 3 a 50% Part (b) what if both charges are positive that is, what if the second charge is 28JC ted

Explanation / Answer

here,

q1 = 4.1 uC is at x1 = 0 m

q2 = - 2.8 uC is at x2 = 0.29 m

a)

let the third charge is at x

the force at x , F = K * q1 /x^2 - K * q2 /( x - x2)^2

as the force is zero

0 = 4.1 /x^2 - 2.8 /( x - 0.29)^2

solving for x

x = 1.67 m

the electric force on third charge is zero at x = 1.67 m

b)

q1 = 4.1 uC is at x1 = 0 m

q2 = 2.8 uC is at x2 = 0.29 m

let the third charge is at x

the force at x , F = K * q1 /x^2 - K * q2 /( x2 - x)^2

as the force is zero

0 = 4.1 /x^2 - 2.8 /( 0.29 - x)^2

solving for x

x = 0.16 m

the electric force on third charge is zero at x = 0.16 m

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