Three chargers are arranged on a line as shown above. (For each statement select

Question

Three chargers are arranged on a line as shown above. (For each statement select T True. F False). If Q_1 is positive, Q_2 is negative and Q_3 is positive, then Q_2 MUST feel a net force to the right. If Q_1 is positive. Q_2 is negative and Q_3 is negative, then Q_2 MUST feel a set force to the right. If Q_1 is negative, Q_2 is negative and Q_3 is positive, them Q_2 MUST feel a net force to the right If Q_1 is positive, _2 is negative and _3 is positive, then Q_2 MIGHT feel a net force the right. In the above figure, R = 15 m, Q_1 = 1.22 times 10^-4 C, Q_2 = Q_3 and Q_3 = Q_1. Calculate the total force on Q_1. Give your answer with a positive number for a force directed to the right or a negative number force directed to the left

Explanation / Answer

here,

a)

false

as the magnitude of charge is not given

so, Q2 might have net force towards right

b)

false

as Q1 attract Q2 and Q3 repels Q2

so the net force on Q2 is towards left

c)

TRUE

as Q1 repels Q2 towards right and Q3 attract Q2 towards right

d)

TRUE

as both the charges Q1 and Q3 attracts Q2

so, Q2 might have net force towards right

7)

Q1 = 1.22 * 10^-6 C

Q2 = - Q1

Q3 = - Q1

R = 1.5 m

the total force on Q1, F = k * q1 * q2 /R^2 + k * q1 * q3 /( 2 * R)^2

F = 9 * 10^9 * (1.22 * 10^-6)^2 ( 1/1.5^2 + 1/3^2)

F = 0.007442 = 7.44 * 10^-3 N

the total force on Q1 is 7.44 * 10^-3 N towards right

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