Physics - Electric Fields


Flashcards

2022-03-01

What is electric field strength?

The force per unit positive charge.

What is the formula for electric field strength, $E$?

\[E = \frac{F}{Q}\]

What is confusing about $E$ in electric field equations?

It represents electric field strength, not energy.

What are the units of electric field strength?

Newtons per Coulomb, $NC^{-1}$

What assumption are you making for point charges?

That the charge of a sphere can be considered to act from a central point.

In what direction do electric field lines get drawn?

From positive to negative.

What’s true about the field lines on an electric field diagram and a gravitational field diagram?

Electric field lines point outwards, gravitational field lines point inwards.

What are equipotentials?

A region in space where every point in it has equation electric potential energy.

How are equipotentials like contour lines on a map?

You don’t go up or down following contour lines.

What is Coulomb’s law for force $F$?

\[F = \frac{Qq}{4 \pi \epsilon _ 0 r^2}\]
How does Coulomb’s law
\[F = \frac{Qq}{4\pi \epsilon _ 0 r^2}\]

deal with different charges attracting or repelling one another?? $Qq$ being positive or negative depending on whether $q$ and $Q$ are negative or positive.

How does Coulomb’s law \(F = \frac{Qq}{4\pi \epsilon _ 0 r^2}\) deal with different charges attracting or repelling one another?

$Qq$ being positive or negative depending on whether $q$ and $Q$ are negative or positive.

What is the name for the constant $\epsilon _ 0$?

The permittivity of free space.

What is the formula for electric field strength $E$ using Coulomb’s law?

\[E = \frac{Q}{4\pi \epsilon _ 0 r^2}\]

What is always true about electric field lines in relation to the conductor?

They are at right angles.

2022-03-02

What is always true about the position of equipotentials in relation to the electric field lines?

They are at right angles.

What type of electric field is Coulomb’s law
\[F = \frac{Qq}{4\pi \epsilon _ 0 r^2}\]

relevant to?? Radial fields.

What are the two types of electric field under consideration in the electric fields topic?

  • Radial fields
  • Uniform fields
If
\[\frac{F}{Q} = \frac{v}{d}\]

then what is a nice formula for electric field strength $E$??

\[E = \frac{v}{d}\]

What type of electric field is Coulomb’s law \(F = \frac{Qq}{4\pi \epsilon _ 0 r^2}\) relevant to?

Radial fields.

If $\text{work done} = VQ$ but also $\text{work done} = Fd$, how can you come up with an equation for $\frac{F}{Q}$ (which is equivalent to $E$, electric field strength)?

\[\frac{F}{Q} = \frac{v}{d}\]

If \(\frac{F}{Q} = \frac{v}{d}\) then what is a nice formula for electric field strength $E$?

\[E = \frac{v}{d}\]

2022-03-11

What is an alternative unit for electric field strength given that $E = \frac{v}{d}$?

\[\text{V}\text{m}^{-1}\]

How is an electron in a uniform field (such as the one constructed by two oppositely charged metal plates) like a projectile?

It experiences constant downward acceleration due to the electric field.

How could you work out the formula for the force on a charge in a uniform electric field given that $\frac{F}{Q} = \frac{V}{d}$?

\[F = \frac{QV}{d}\]

What is electric potential?

The work done to bring a positive charge from infinity to a point.

What is electric potential at some imaginary point at infinity?

\[0V\]

What are the units for electric potential?

\[\text{volts}, V\]

What is the formula for electric potential in terms of electric potential energy?

\[V = \frac{\text{electric potential energy}}{q}\]

What is the formula for electric potential $V$ in terms of $Q$ and $r$?

\[V = \frac{Q}{4\pi \epsilon _ 0 r}\]

What is the formula for capacitance $C$ in terms of charge stored $Q$ and potential difference $V$?

\[C = \frac{Q}{V}\]

What are the units for capacitance, $C$?

\[CV^{-1} = F = \text{farad}\]

How can you derive the formula for the capacitance of a sphere?

Substitute $V = \frac{Q}{4\pi\epsilon _ 0 r}$ into $C = \frac{Q}{V}$.




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