(5%) Problem 12: Two charges lie in a line along the x axis. Charge l is q1 = 0.

Question

(5%) Problem 12: Two charges lie in a line along the x axis. Charge l is q1 = 0.55 C and charge 2 is q 2.15 C. They are each a distance of d-0.071 m from the origin. 0,0 ©theexpertta.com > A What is the distance on the x-axis from the origin at which the electric field will be zero. Give your answer in meters Grade Summary 0% 100% Potential tan0 cotan0asin acosO atan acotan sinhO cosh0 tanh0 cotanhO cos Submissions Attempts remaining: 10 (000 per attempt) detailed view END Degrees O Radians BACKSPACE Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 3 Feedback: 0% deduction per feedback.

Explanation / Answer

here,

q1 = 0.55 * 10^-6 C

q2 = 2.15 * 10^-6 C

d = 0.071 m

let the electric feild is zero at x = x1

the electric feild at x = x1 , E = K * q1 /x1^2 - K * q2 /(d - x1)^2

as the electric feild is zero

0 = K * q1 /x1^2 - K * q2 /(d - x1)^2

0 = 0.55 /x1^2 - 2.15 /(0.071 - x1)^2

solving for x1

x1 = 0.024 m

the electric feild is zero at x = 0.024 m

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