Electric Circuits

The electric field remains unchanged as it only depends on plate separation and charge.

The electric field increases because the dielectric adds extra charge carriers.

The electric field decreases because the dielectric reduces the effective voltage across the plates.

The electric field reverses direction due to polarization of the dielectric molecules.

Zero

2B

B

B/2

Transformer.

Resistor.

Capacitor.

Inductor.

It stays the same despite the introduction of a new medium capable of altering local permittivity values since the capacitors were already fully charged prior to the addition of the third substance/middle layer, etcetera.

It decreases because the dielectric increases capacitance without affecting total charge supplied by the battery.

It becomes zero all of a sudden upon the placement of the intermediary region filled with a particular type of molecular arrangement, opposed to the empty state it previously held.

It increases since dielectrics typically have higher permittivity than vacuum/air, making them better conductors, thus enhancing the fields present during the initial charging process before the insertion took place.

The electrostatic force decreases since force is proportional to the inverse square of the distance between charges.

The electrostatic force remains unchanged as it is directly proportional to the product of the charges' magnitudes.

The electrostatic force increases because force is inversely proportional to the square of the distance between charges.

The electrostatic force decreases linearly with distance once a certain threshold distance is surpassed.

A constant value, indicating a uniform electric field.

Negative, implying the presence of negative charges.

Positive, implying the presence of positive charges.

Zero, as there are no sources or sinks of the field.

f' = 2 * f_0

f' = f_0

f' = f_0/√2

f' = √2 * f_0

It decreases as an inverse square of their separation distance.

It decreases linearly with their separation distance.

It increases proportionally with their separation distance.

It remains constant regardless of their separation distance.

$E = Fq$

$E = \frac{F}{q}$

$E = \frac{q}{F}$

$E = F + q$

The magnitude remains constant as it depends solely on the geometry of the space.

The magnitude decreases since higher charge density leads to mutual repulsion weakening the field.

The magnitude increases since stronger charge density creates stronger electric fields.

The magnitude is inversely proportional to charge density due to the inverse square law.