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# A noint charge of magnitude 5.00$\mu \mathrm{C}$ is at the origin of a coordinate system, and a charge of $-4.00 \mu \mathrm{C}$ is at the point $x=$ 1.00 $\mathrm{m}$ . There is a point on the $x$ -axis, at $x$ less than infinity, where the electric field goes to zero. (a) Show by conceptual arguments hat this point cannot be located betwcen the charges. (b) Show by conceptual arguments that the point cannot be at any location between $x=0$ and negative infinity. (c) Show by conceptual arguments that the point must be between $x=1.00 \mathrm{m}$ and $x=$ positive infinity. (d) Use the values given to find the point and show that it is consistent with your conceptual argument.

## The position of point p from origin is $x+1=8.47 \mathrm{m}+1 \mathrm{m}$$=9.47 \mathrm{m}$

### Discussion

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##### Christina K.

Rutgers, The State University of New Jersey

##### Andy C.

University of Michigan - Ann Arbor

### Video Transcript

Hearst rinsed. Let's start or discussion. Suppose at X. Shiro a charge. Q one is a coastal fire Micro Coolum place and at acts, one meter a charge pewter off minus for my group will a misplaced. Okay, No. Now we have to find out a point in our Axe. X is where the neck electric field is. Jill, suppose if foot take any point in between the charges. Like people. Okay, so no act be electric filled you to one will be Get your way. Suppose if this is the acts of the civil body, then this will be one minus X. Okay. Ah di square. And this will be in this direction and at point B, that electric field you toe two will be cake. You one minus the square. Okay. And this isn't this direction. So at any point between access, because to Jiro and that axis goes toe one meter, the night electric field is much to be ag is adding, so there's no point that is lying in between these two charges because once wooden is a negative charge and other one is a positive charge. So at any point in between whole electric filled by both are adding up. So there's no point at Bridgeton that electric religion in between that charges. Now, suppose we take any point Better axe General and the negative infinity. So any point in big between accidents to Jiro and the Net Infinity, The electric field due to one is in this direction and electric field you toe to. Isn't this direction see, electric failed depends mainly on two factors. That is it. They're actually proportional charge and inversely proportional to the square of distance separation between that point. OK, so at see, since the magnitude off, Q one is creator than feudal, so even will be greater than it. Okay. And also the separation off Our one is less than due to a separation off our tool where Iran and art water distances from the charges and that point peak. Okay, so in this case also even is greater than it'll. It means that the magnitude off even is much greater than the magnitude off Ito. So we will never get a point in between. So we will get always on that electric field is in this direction. Okay, now let us take a region off axis occurs to one centimeter toe actually goes to infinity plastic appoint people now in this play point that even lies in this direction and utilize in this direction. So basically, I told you that e depends on two factors. That is the magnitude of charge and the CEP operation between charges No. Four. First, the Q one is greater than cute. Okay, So even can be greater than from Ito. But are one is created an hard to in this case where our men and I'll toe are the separation between the charges and that won't be okay. So in this case, he too is greater than even. So why in one even is greater in er one, it was greater. So it means that we can find a point between access occurs toe one and access goes to infinity. There electrical can be cancel out on the that electric feel at that point be will be Gee, it'll Okay, well, this is all for me for this radio. I hope you will like the video. Thank you.

Other Schools
##### Christina K.

Rutgers, The State University of New Jersey

##### Andy C.

University of Michigan - Ann Arbor