In rehab Cuban equals to my curriculum without its charge nature and acutely is equal to plus four point double zero micro cooler. Its nature is no. Okay so and the neck forces towards the left that is in negative X axis. For the part of the question We have to sketch all the possible outcomes depending on the sign of the charges. So this is charged Cuban, this is charge Q2 and this is our security, This is Cuban Q2 and this is cute. Okay so now we can take it as positive and It is also positive and this is given as positive. So the force due to this charge on this will be in this direction and due to this charge, the force will be in this direction. Okay so say this is a fun force and this is f to force. So this is situation one. Okay, no the situation will be this is cute recharge, this is Cuban charge and this is Q. To charge. So let's this sign is negative and its sign is negative and it is already positive. So the force will be in these directions. So this is force F. One and this is force F. Okay. No, 40. This is situation. So now for the third situation we can draw that this is Q3 charge, this is Cuban charge and this is Q to charge. So let us take it as positive and it's negative and it is given as positive. So the force due to this charge on this will be in this direction away. Okay, and this force will be in this direction. So this is a force F. Two and this is a force F three F four. Okay, so this is situation third. Okay, now the situation fourth will be this is Q three Cuban and Cuban. So let us take it is negative, it is positive and this is positive as further questions. So the force due to this negative charge on this will be along this direction and the force due to this two positive charges were repulsive. So this is forced have to and this is a force have fun. Okay, so these are the four possible outcomes of the question. Okay, So this is the 4th 4 possible outcomes of the question. Okay, now Moving to the part B in which we have to determine the nature of the charge Q two according to the problem. So for the part we can say that the force will be the force will be in the upward direction and towards right direction because the forces are mm in the left and right direction and for the situation to the force may be in the downward direction. And also indeed, the horizontal forces may cancel out may cancel out. Okay? So for the situation third, the net force may come out in the right direction and the vertical force may cancel out. Okay, Because if the magnitude somehow changes or rearrange itself so may cancel. So for the fourth situation, the force maybe towards left and the vertical force maybe cancel out. Okay, so the fourth situation is the required situation. So we can say that Cuban should be negative. Cuban is given as negative charge. Okay? And You two should be positive. Okay? Uh this is the outcome of that question. Okay. Q three is given as positive already and Cubans should be negative and Q two should be positive so that we get net force in the left the direction. Okay, So we can say that Cuban is equal to as we have magnitude of Cuban. So we can write that Cuban is equals two minus two point double zero micro column and Q three is equal to plus four point double zero micro column. And we can say that you two is greater than so this is the answer for the but be of the problem. Okay Cuban is negative and Q2 is positive. Okay, so now moving to the part C in which we will determine the magnitude of charge Q two. Okay, so in this part we have determined only it's signed. So the case fourth is the right one. So the vertical force must be equal in magnitude and opposite in direction. So we can write that angle cheetah one of force F one and horizontal is because in the words of four by five from the geometry so it is equals to 36.86 degrees. And angle theta two between F two and horizontal is equals two causing words of three by five. This is equal to 53.13 degrees. Okay, the vertical course must be Equal so we can write that Afghan costs 36.86°.. This is equal to f to sign 53.13 degrees. Okay, say this is a very question number one. So now the fourth F one can be written as F one equals two Cuban cutely deal whereby are 13 square. So substituting values, we get nine multiplied by 9 19 to 10 to the power nine multiplied by Cuban charges to multiply by 10 to the power minus six And Q three is 4-10 to the power -6. So now we will consider magnitudes only and urban three is 0.04. So square. So from here we get F one equals to 45 minute. Okay? And From here substituting this value in previous one equation. So we get F2 equals to 45, multiplied by sign 36.86 divided by Sign 53. Okay, so from here after solving we get F2 equals to 33.8 Newton. No, if you can also be returnees have two equals 2 K Q two Q three divided by R 23 square. So now substituting values, K is 19 to 10 to the power nine and Q two multiplied by Q three is equal to 14 to 10 to the power minus six. They were by our 23 is 0.3 m square. Okay. And F two has magnitude of 33.8. Newton. Okay, so from here after solving we get to two equals to 8.43 multiplied by 10 to the power minus seven column, Which is equals two 0.843 Micro column. Okay, so this is the answer for the question. Okay, as Q2 is positive as you do is positive. So its magnitude will be in the positive. So this is the answer fully part C of the problem. No. Yeah. No. For the party The magnitude of net force will be equals two. F will be equal to F one cause 36.86 degree plus F two. Because 53.13 degrees. Okay, so now after substituting values of F one and F two from here is 45 after 33.8 we get 45 Because 36.86 degree plus 33.8 Cause 53.13°.. So from here after solving we get f equals to 56.2 Newton. Okay, so this is the answer for the party of the problem. This is the net force on the charge. Okay.