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Be sure to check the notes on classroom to see the cool Current, Current Density, and Calculus we did.

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Today we talked about current, current density, and when to use algebra vs. calculus when doing problems.

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We learned about capacitance today. Capacitance is how much energy can be stored with a given potential difference, hence: C= Q/V

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FRQ was rough oof

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This is a half ring (and quarter ring) electric potential due to charge distribution.

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Today we did several calculus derivations of the electric potential for different arrangements of charge.

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today we learned more about electric potential.

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This is Gauss's law with parallel plates. That are infinite. Recommended to memorize

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We did a lot of derivations today. Check the notes on classroom!

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We can use algebra or calculus to calculate the electric flux through a surface...we will practice more on that next week (2/5)...
Also, Gauss is/was the GOAT.

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There is something called Flux, very abstract but the equation is

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Area is a vector! And its vector is perpendicular to the surface, and once you define which direction you will use, you have to stay consistent.

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Flux: How many field lines permeate an area

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Flux: How many field lines permeate an area

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Today, Mrs. Roberts uprooted our entire understanding of geometry by telling us that area is actually a vector (surprise!). We then spent 75 minutes basically just trying to comprehend such a ground-shattering announcement.

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today we learned about flux and we used area as a vector. If a field passes through a closed object the net flux is zero

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Today I learned that math is a lie

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area is a vector

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Quarter ring of charge, is easier using symmetry, Because all you change is the limit of the integral. It becomes pi/4 to -pi/4

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Use the derivations from today for the web assign due on Saturday 2/5.

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We miss you

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Today I did way to much calculus, and determined the electric field due to half rings, quarter rings, and disks of charge.

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Today we did some not-so-nice calculus-based derivations to find the electric field from a disk/half-ring/quarter-ring of charge on a point in the plane orthogonal to the disk/half-ring/quarter-ring.

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Today I learned that Calculus in physics is wild and quarter rings are just fun-sized half rings. Miss u everyday home slice

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The half ring of charge is probably going to be on the quiz.

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today i considered dropping out of physics because these derivations were stanky. with a line we started with a formula of dE=(kdq)/r^2 and because of the radius changing we had to sub it out

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The only important component of a electric field in a line charge is the x-component because of symmetry.

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We've reached the point where we can no longer analytically solve our integrals. Consult the table(s)!

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today I learned how to calculate fields for more complex fields

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This is the electric field approximation for a didipole

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Rings are the most likely continuous charge distributions you'll need to calculate an E-field for #fridayquiz

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Rings are the most likely continuous charge distributions you'll need to calculate an E-field for #fridayquiz

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With a ring, symmetry makes it so the only thing you need to focus on is the x component

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With a ring, symmetry makes it so the only thing you need to focus on is the x component

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Field Lines!

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The strength of the electric field depends on the density of field lines in a specific area

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Vector fields decrease by a value of 1/r^2

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changes in magnetic field induce electric fields and the same vice versa. I think

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Length of vector is proportional to the strength of the field

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E=(kq)/(r^2)

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field lines point away from +
field lines point towards -