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Problem 24 Hard Difficulty

(a) Find the magnitude and direction of the electric field at the position of the 2.00$\mu \mathrm{C}$ charge in Figure $\mathrm{P} 15.13$ . (b) Ilow would the electric field at that point be affected if
the charge there were doubled? Would the magnitude of the electric force be affected?

Answer

$2.19 \times 10^{5} \mathrm{N} / \mathrm{C}, 85.2^{\circ}$

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Video Transcript

Harris translates Start or discussion Electric field. Okay, Now suppose you have a triangle with these angle 60 degree. So basically, these is on equality. Frankel and at the corners. Ah, if this I find named them one toe, See at one. The charge off to my curriculum lies at to the charge off. Minus four. Micro column Lies and act Tree the charge off seven Micro Coolum lice. Now you have to find out the magnitude off Electric Phil on this to my curriculum. Chars basically, at the position of this to micro column chart. Basically, at the position fund, you have to find out the net electrical. So electric field on of one due to three will be get you tree by our square whiskey. Ours does suppression and this is 0.5 meter. So this is any collective Frank. So all sides are equal, so it will be nine in tow. Tenders by nine into seven. Inter Tenders bar minus six. Coolum by 60.5 meter square. If you solve this, you will get the value of 2.52 into 10 days. Bar fight. Newton Pakula he wanted Okay, This is the manager. But then this is it. Fish direction. He won three. Okay, No electric field on one do toe to will be take you to buy a square. And that will be nine interest in this pond. Life into four in tow. Tenders bar minus six School. We're only taking the magnitude of charges. Andi Jiraporn fights. Okay, if you saw this, you will get the value of 1.44 in tow. 10 This Bar five Newton book cooler. This is even toe. And so because this is the negative charge, this electric field isn't this direction e 12 So the next electric field will be on one that is even isn't this direction. And the angle between Eve 13 and e 12 is 1 20 degree as because it is six genetically. So from lean angle property, this will be 1 20 degree. Okay, so on that electric fear will be Wranglers would even to square. Plus he won three square plus toe even do even three goes data. No, the value, of course. 1 20 coast 1 20 is minus one my toe. So it will comes Toby minus even toe even three. This tour is cancelled out with minus one by two factor And the minor science comes here He went toe square, plus even three square. And get now by putting the values 1.44 into 10 rece par flies Waas Where plus 2.52 into 10 Disbar five square minus 1.44 in tow Them this par five in tow. 2.52 into 10 this par five. Okay, If you saw this, you will get the net Electric feels 2.18 into 10 This part five Newton Park, Coolum. This is the magnitude off electric field on position one. Now, suppose if we doubled. If these are three position, that is one do three. Initially, we have to micro cool in charge here and seven microgram. Judge it and minus four Microcosm judgy. No support. If I double this. Well, you, that is now if I play the four Coolum Mike for my curriculum charge here, Will it produce any effect on the let magnetic field? Actually at 0.1. Charge seven Micro Coolum is producing electric feel and the charges minus Formica. Coolum is produced electric for on this point where toe micro Coolum is separated from that have no contribution in that electric food it will contribute. Definitely electric Fourth, but at this point, only seven Micro column chart. That is this and friends four. My curriculum charge is contributing. So if I double this to my curriculum child So four micrograms, John, there's no effect on the net to net magnitude of the electric field on this 0.1. Well, this is all for me for this video. I hope you will like the brilliant thank you.

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Top Physics 102 Electricity and Magnetism Educators
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Liev B.

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