Q. 52 FIGURE P22.52聽shows three charg... [FREE SOLUTION]

Chapter 22: Q. 52 (page 626)

FIGURE $P 22.52$ shows three charges and the net force on charge $- q$ . Charge $Q$ is some multiple $伪$ of $q$ . What is $伪$ $?$

Short Answer

Expert verified

The value of the alpha is $4$ .

Step by step solution

Calculation for horizontal force

The two particles exert forces on each other, with the force decreasing as the distance between them grows and increasing as the size of the charges increases.

Columns law of force,

$F_{C} = F_{1 on 2} = F_{2 on 1} = \frac{K |q_{1}| |q_{2}|}{r^{2}}$

Horizontal force between charge $- q$ and $- 伪辩$

$F_{x} = \frac{K (- q) (伪辩)}{(2 L)^{2}}$

$= \frac{- {K伪辩}^{2}}{4 L^{2}}$

Calculation for alpha

Vertical force between charge $- q$ and $q$ ,

$F_{y} = \frac{K (- q) (q)}{L^{2}}$

$= \frac{- {Kq}^{2}}{L^{2}}$

The net force forms a $45^{掳}$ angle with the horizontal axis, implying that the magnitude of the horizontal force $F_{x}$ is the same as the magnitude of the vertical force $F_{y}$ .

So,

$F_{x} = F_{y}$

$\frac{- {K伪辩}^{2}}{4 L^{2}} = \frac{- {Kq}^{2}}{L^{2}}$

$(\frac{伪}{4}) (\frac{- {Kq}^{2}}{L^{2}}) = (\frac{- {Kq}^{2}}{L^{2}})$

$\frac{伪}{4} = 1$

$伪 = 4$

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91影视

FIGURE $P 22.52$ shows three charges and the net force on charge $- q$ . Charge $Q$ is some multiple $伪$ of $q$ . What is $伪$ $?$

Short Answer

Step by step solution

Calculation for horizontal force

Calculation for alpha

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91影视

FIGURE P22.52shows three charges and the net force on charge -q. ChargeQis some multiple 伪of q. What is伪?

Short Answer

Step by step solution

Calculation for horizontal force

Calculation for alpha

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Rotational Dynamics

Fields in Physics

Radiation

Turning Points in Physics

Solid State Physics

Geometrical and Physical Optics

Study anywhere. Anytime. Across all devices.

FIGURE $P 22.52$ shows three charges and the net force on charge $- q$ . Charge $Q$ is some multiple $伪$ of $q$ . What is $伪$ $?$