4) As shown in the figure, three small charges are equally...

4) As shown in the figure, three small charges are equally spaced on the arc of a circle that is centered at the charge Q, where Q = +23 nC and all the other quantities are accurate to two significant figures. What is the magnitude of the net electric force on the charge Q due to the other three charges? (k = 1/4??0 = 9.0 × 10^9 N · m^2/C^2) -6 nC 2 nC 2 nC 5 cm 45° 45° 5 cm Q A) 2.6 × 10^-4 N B) 1.7 × 10^-4 N C) 2.1 × 10^-4 N D) 3.1 × 10^-4 N 5) The figure shows two tiny 5.0-g spheres suspended from very light 1.0-m-long threads. The spheres repel each other after each one is given the same positive charge and hang at rest when ? = 4.1°. What is the charge on each sphere? (k = 1/4??0 = 9.0 × 10^9 N · m^2/C^2) ? ? 1.0 m 1.0 m 5.0 g 5.0 g A) 22 nC B) 89 nC C) 360 nC D) 180 nC E) 45 nC

Transcript

00:01 Hi guys, now in this point the system is given to us.

00:03 We need to find out force on this cube where this q is equal to what? this q is equal to positive of 23 nanoculum.

00:15 Now, if you see these two charges, two nanoculum and two nonaculum, the electric field will be toward towards the vote.

00:23 It will be not towards, it is away from this charge.

00:27 This is like this.

00:30 And similarly, electric field due to this one will be like this.

00:36 Now, if you do a component, there will be one component like this, second component will be like this.

00:47 And similarly, there will be one component like this and second component will be like this.

00:56 And electric field due to this negative charge will be towards the charge.

01:02 If you see this charge, this is e here, there will be also e here.

01:09 Now, if this angle is 45 degree, this is 45.

01:14 Again and this is 45 now this will be what e cost of 45 degree and this is again e cost of 45 degree this gets cancelled because they are opposite in sign and not opposite in direction and equal to each other that's why they will get cancelled they will be add up this will be e sign of 45 degree and this is again a sign of 45 degree this will be add up and this value of this is equal to what this will be k kk divide by r square so this e is equal to k which is but 9 times 10 to the power 9 q which is about 2 nanopulam that means 2 times 10 to the power minus of 9 r square now what is r square r is a 5 centimeter so this is 25 times 10 to the power minus of 2 okay because this is in i'm so sorry it is minus 4 so we have a this is 10 to the power 9 gates cancelled we have a 18 times this is 100 times 100 divide by 25.

02:33 This value comes out of it.

02:34 This will be gates cancelled at 4 times.

02:36 So we have a 70 to 7 .2 times 10 to power 3 newton per column.

02:44 Now let's say about this thing...

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