warm up problem -2.0 c 30° 2.0 m please find x- and y- components of the electric field at the...

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Warm Up Problem -2.0 mC 30° 2.0 m Please find x- and y- components of the electric field at the given point, marked x, and the potential at that point

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Page 1: Warm Up Problem -2.0  C 30° 2.0 m Please find x- and y- components of the electric field at the given point, marked x, and the potential at that point

Warm Up Problem

-2.0 mC

30°

2.0 m

Please find x- and y- components of the electric field at the given point, marked x, and the potential at that point

Page 2: Warm Up Problem -2.0  C 30° 2.0 m Please find x- and y- components of the electric field at the given point, marked x, and the potential at that point

Annc.

• Next quiz on finding electric field and potential associated with 2 points. Will utilize symmetries.

• New hw to be posted.• Review quiz 9• Reflection questions.

Page 3: Warm Up Problem -2.0  C 30° 2.0 m Please find x- and y- components of the electric field at the given point, marked x, and the potential at that point

What about the potential associated with planes of charge?

• The (practical) assumption is that we have 2 planes of charge, each with opposite charge, but otherwise identical. The negative one we assume is at zero potential.

• Both sketch and calculate lines of equal potential.

Page 4: Warm Up Problem -2.0  C 30° 2.0 m Please find x- and y- components of the electric field at the given point, marked x, and the potential at that point

What is the potential between the two planes? Remember that the E field is constant in the space between them.

Page 5: Warm Up Problem -2.0  C 30° 2.0 m Please find x- and y- components of the electric field at the given point, marked x, and the potential at that point

Sketch the E field lines and equipotential lines associated with two planes of charge.

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Page 6: Warm Up Problem -2.0  C 30° 2.0 m Please find x- and y- components of the electric field at the given point, marked x, and the potential at that point

Assume a charge density of +/- 0.1 mC per meter squared on each plate. Also, assume the negatively charged plate is at a potential of zero. If the plates are separated by 0.1 mm, what would be the potential on the other plate?

Page 7: Warm Up Problem -2.0  C 30° 2.0 m Please find x- and y- components of the electric field at the given point, marked x, and the potential at that point

More on the parallel plates

In the process, find the strength of the electric field between the plates AND find the value of some of the equipotential lines.

Page 8: Warm Up Problem -2.0  C 30° 2.0 m Please find x- and y- components of the electric field at the given point, marked x, and the potential at that point

Summary table electric fields and potential differences generated by each of the following

Electric field (N/c or V/m) Potential (V) with respect to a location of zero potential

Positive point charge directed radially away from the charge

positive line of charge = directed radially away from the line; l is linear charge density

not addressed (but addressable if needed!)

Positive plane of charge for a single plane, directed away from plane; s is the planar charge density

*x where x is the distance as measured from the plane.

Page 9: Warm Up Problem -2.0  C 30° 2.0 m Please find x- and y- components of the electric field at the given point, marked x, and the potential at that point

What if a charge of +0.01 mC were placed between the plates?

What force would it experience?If the charge happened to be resting on an object with a mass of 1 gram, what would be its acceleration?

Page 10: Warm Up Problem -2.0  C 30° 2.0 m Please find x- and y- components of the electric field at the given point, marked x, and the potential at that point

What happens as you add more charge to each plate?

Page 11: Warm Up Problem -2.0  C 30° 2.0 m Please find x- and y- components of the electric field at the given point, marked x, and the potential at that point

Introduce capacitance associated with two parallel plates.