Problem

A point charge has a charge of $2.50 \times 10^{-…

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Problem 18 Easy Difficulty

A uniform electric field has magnitude $E$ and is directed in the negative $x$ -direction. The potential difference between point $a$ (at $x=0.60 \mathrm{m} )$ and point $b$ (at $x=0.90 \mathrm{m} )$ is 240 $\mathrm{V}$ . (a) Which point, $a$ or $b$ , is at the higher potential? (b) Calculate the value of $E (\mathrm{c})$ A negative point charge $q=-0.200 \mu \mathrm{C}$ is moved from $b$ to $a$ . Calculate the work done on the point charge by the electric field.

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Physics 102 Electricity and Magnetism

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Chapter 18

Electric Potential and Capacitanc

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Video Transcript

So is this question. You have a electric uniform electric field. E said his directive is inactive extraction. So right now, I'm assuming, since this acts so this director inactive backs is and we have two points A and B so a is Except, sir, but sex and beings excessively nice. What Mrs Happy is to the right of a ends. We have a difference of circles three meters. So question aid that ask us which point is at a higher potential. And that could be answered because the direction of electric field is always pointing from high potential to low potential. And here is a point in the direction ofthe Lecter backs that is, from B to A Because it sat, we know that it is and higher potential. Yeah, second part asks us to calculate the value of E. And that can be done because we know, is it this can? So if you have four Tsar example 18 point for, you know that equals yeah, the already or you can. Also, just without doing that on Nancy can do is to use a definition of potential definitional potential. Is potential energy over Q. But if energy over Q potential energy. It's a Chandra Viet leased. Secure. Your potential energy is a worked out. It is. The work done is close to force, which is a cute, handsome distance force times distance that it is so work. Um, King. This is a work divided by Q. So these two cancels and you and you end up with Peter City. So this is what we have for the potential in terms of electric field. And here, if we want to find the electric field between what we will do is we were re arranged this formula, and so we have sort of the numerator over D to check your voltage. So wattage difference is 240 votes. We already know about that and the distance between Etude in single point I'm zero bitter minus 0.60 meter. This gives us $800 per meter said is the electric field between A and B last question Objective Point Church is moved from betraying the calculus worker, so work is British itiveness. Times charge. It's a potential difference between being a is 240 votes. It's a charge respective Serial plate two Soon zero times 10 to the negative six. Cooler. Cisco's US collective 4.8 Cyril times 10 to the negative fracture. And is this indeed another valueless? Just over. Check the size. He is at a higher potentials, and a or you can think of this side is opposed to side, and this side is inactive side. So if we have an active charge, the tendency is to move to the right is to move opposite to the direction of the electric field line, but it's really from B to a movie. Obstinate too s o. It's the direction that it would naturally move without external force. So because of that, because it's his movie on national direction with a missing is that the electric field is acting against it. So the work down is active. And so Parsi, we do have so correct side. We do have an active site

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