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In the figure below is shown three point charges sitting on the x-axis (the figu

ID: 1879948 • Letter: I

Question

In the figure below is shown three point charges sitting on the x-axis (the figure is not to scale). The three charges have the charge and position:

Q1 = 1.97x10-6 C, x1 = -7.15 cm
Q2 = -2.411x10-6 C, x2 = 2.98 cm
Q3 = -4.26x10-6 C, x3 = 0 m

What are the magnitude and direction of the total electrostatic force that on Q3? For the magnitude, give your answer in Newtons to at least 3 significant digits (to avoid a round-off error). The sign of your answer will give the direction, positive is to the right and negative is to the left.

3 Q1 02

Explanation / Answer

before we attempt this question, let's look at the signs , Q1 will exert force of attarctionbon Q3 , while Q2 will exert force of repulsionon Q3, so in net Q3 will experience force towards Q1

F net = K ( Q1Q3) x1^2 + K ( Q2 Q3)/ x2^2

plugging the values

F net = - 9 x 10^ 9 x 4,26 x 10^-6 x 10^-6 { 1.97/0.00511225+2.411/0.00085264}

= -123.188 N apprx