General electrostatics Flashcards

1
Q

When we have a symetrical shape, what law is useful?

A

Gauss’ law

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2
Q

When using Gauss’ law, what does LHS become when there is symmetry?

A

Exsurface area of the shape

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3
Q

How are potential and E field related?

A

Potential = -integral of E with respect to L

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4
Q

When doing simpler question, what do we need to consider?

A

Everything is in terms of the changing variable

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5
Q

When we have a solid sphere, how do we find the E field outside?

A

Treat sphere as a point charge

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6
Q

When we have a solid sphere, how do we calculate the E field inside?

A

Use Gauss’ law and Qencl is the ratio of the volumes of the surface and the guassian surface

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7
Q

What happens if sphere has a non uniform charge density?

A

Qencl is found by using a volume integral on the charge density. Find dV in terms of dr

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8
Q

Easiest way to find potential in an xy problem?

A

Find potential at each point with a charge and then vector sum them

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9
Q

What are the two ways to find work done?

A

Either find potential at two seperate points and find difference or -q x integral of E x dl

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10
Q

Important point when finding energy density?

A

We might have to find dU and then integrate it

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11
Q

E field inside a hollow sphere?

A

0

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12
Q

Electric potential inside a hollow sphere?

A

We have to find integral of 0 x dr

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13
Q

Capacitance of a sphere?

A

C = 4 x pi x epsilon x r

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14
Q

What technique do we use when another charge is introduced into a system?

A

Superposition

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15
Q

What does the electric field outside a sphere depend on?

A

Charge and distance from centre of sphere

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16
Q

What does the electric field outside a sphere not depend on?

A

Radius of the sphere itself

17
Q

How to find Qencl from a charge density such as lambda?

A

Qencl = lambda x dL (lambda x L for infinite wire)