1.) Two tiny particles having charges of +5.00E-6 C and +7.00E-6 C are placed al

Question

1.) Two tiny particles having charges of +5.00E-6 C and +7.00E-6 C are placed along the x-axis. The +5.00-µC particle is at x = 0.00 cm, and the other particle is at x = 100.00 cm. Where on the x-axis must a third charged particle be placed so that it does not experience any net electrostatic force due to the other two particles?  cm

2.) Two tiny particles having charges +20.0E-6 C and -8.00E-6 C are separated by a distance of 20.0 cm. What are the magnitude and direction of electric field midway between these two charges?

A. 25.2E6 N/C directed towards the negative charge

B. 25.2E6 N/C directed towards the positive charge

C. 25.2E5 N/C directed towards the negative charge

D. 25.2E5 N/C directed towards the positive charge

E. 25.2E4 N/C directed towards the negative charge

Explanation / Answer

here,

charge q1 = 5 * 10^-6 C is at x1 = 0 m

charge q2= 7 * 10^-6 C is at x2 = 1 m

as both the charges are positive ,

for the net force to be zero, the charges must be placed between them

let the third charge must be placed at x

F = k * q1 * q /(x^2) - k * q2 * q /(x2 - x)^2

as net force is zero

0 = k * q1 * q /(x^2) - k * q2 * q /(x2 - x)^2

0 = q1/(x^2) - q2/(x2 - x)^2

0 = 5/(x^2) - 7/(1 - x)^2

x = 0.458 m = 45.8 cm

the third charge must be placed at x = 45.8 cm

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