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The figure below shows three point charges, all positive. If the net electric force on the center charge is zero, what is the value of $y / x ?$Graph cannot copy(A) $\frac{4}{9}$(B) $\sqrt{\frac{2}{3}}$(C) $\sqrt{\frac{3}{2}}$(D) $\frac{3}{2}$

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Chapter 10

Electric Forces and Fields

Electric Forces and Electric Fields

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(a) What is the electric f…

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An equilateral triangle ha…

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Positive point charges $q$…

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Hi way given problem. There are three point charges as shown in the figure. Suppose at point A. This is a charge plus studio, then at another point. B. This is a charge plus three Q and at the central point C, this is a charge plus Q. The distance between A and C is given US X and the distance between B and C is given us why. And it is said that the force, the total electrostatic force acting at this model charge, is zero. It means the electrostatic repulsion experienced by this middle charge means FFC due to a should be equal toe the repulsion experienced by the same charge Do do the charge would at be means f fc do toe be so we can say f exceed uto a is equal toe f at sea Do Toby now using columns law, we know the expression for electrostatic force. Acting between the two charges is K, where K is a constant whose value is one by four pi epsilon Not, but as here it will be canceled from both sides. So we are using just k in place of this constant. So here it becomes k into Cuban into Kyoto by our square. For Cuban, this is cute. The charge kept here at sea and for you to this is Tokyo. The charge put at a and the distance between them is X squared. Now for F exceed you, Toby. Okay. Again then This is que and this is treat you the distance between them is the square off. By canceling the similar terms on both the sides K with Kate Thank you with the Q and then this Q also with this queue. So the remaining will be in the left hand side. This is to buy excess square in the right hand side. This is three by White Square. Or we can say why square by X square is equal to three by two. So finally, why by X comes out of the square root off three by two hands We can see option C is correct. Thank you

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