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A charge with a value of 3.0 x 10^-5 C is located 3.0 cm from a charge with a value of 6.0 x 10^-5 C. Determine the distance fr...Asked by Arnold
A charge with a value of 3.0 x 10-5 C is located 2.5 cm from a charge with a value of 6.5 x 10-5 C. Determine the distance from the larger charge to the point where the total electric field is zero.
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Answered by
plumpycat
Let Q1 be the larger charge.
Let Q3 be the smaller charge.
Let Q2 be the charge at the point where the total electric field is zero.
Let x be the distance from the larger charge to this point.
(kQ1Q2)/x^2 = (kQ3Q2)/(0.025 - x)^2
Divide out common factors k and Q2:
Q1/x^2 = Q3/(0.025 - x)^2
Sub in Q1= 6.5 x 10-5 C and Q3 = 3.0 x 10-5 C and solve for x.
Let Q3 be the smaller charge.
Let Q2 be the charge at the point where the total electric field is zero.
Let x be the distance from the larger charge to this point.
(kQ1Q2)/x^2 = (kQ3Q2)/(0.025 - x)^2
Divide out common factors k and Q2:
Q1/x^2 = Q3/(0.025 - x)^2
Sub in Q1= 6.5 x 10-5 C and Q3 = 3.0 x 10-5 C and solve for x.
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