Physics, 12.07.2019 17:10 topangabraith

Aparallel plate capacitor of area a = 30 cm2 and separation d = 5 mm is charged by a battery of 60-v. if the air between the plates is replaced by a dielectric of κ = 4 with the battery still connected, then what is the ratio of the initial charge on the plates divided by the final charge on the plates?

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Answer from: jbrowley

0.25

Explanation:

A = area of each plate = 30 cm² = 30 x 10⁻⁴ m²

d = separation between the plates = 5 mm = 5 x 10⁻³ m

$C_{air}$ = Capacitance of capacitor when there is air between the plates

k = dielectric constant = 4

$C_{dielectric}$ = Capacitance of capacitor when there is dielectric between the plates

Capacitance of capacitor when there is air between the plates is given as

$C_{air} = \frac{\epsilon _{o}A}{d}$ eq-1

Capacitance of capacitor when there is dielectric between the plates is given as

$C_{dielectric} = \frac{k \epsilon _{o}A}{d}$ eq-2

Dividing eq-1 by eq-2

$\frac{C_{air}}{C_{dielectric}}=\frac{\frac{\epsilon _{o}A}{d}}{\frac{k \epsilon _{o}A}{d}}$

$\frac{C_{air}}{C_{dielectric}}=\frac{1}{k}$

$\frac{C_{air}}{C_{dielectric}}=\frac{1}{4}$

$\frac{C_{air}}{C_{dielectric}}=0.25$

Charge stored in the capacitor when there is air is given as

$Q_{air}=C_{air}V$ eq-3

Charge stored in the capacitor when there is dielectric is given as

$Q_{dielectric}=C_{dielectric}V$ eq-4

Dividing eq-3 by eq-4

$\frac{Q_{air}}{Q_{dielectric}}=\frac{C_{air}V}{C_{dielectric} V}$

$\frac{Q_{air}}{Q_{dielectric}}=\frac{C_{air}}{C_{dielectric}}$

$\frac{Q_{air}}{Q_{dielectric}}=0.25$

Answer from: Quest

it would be a very light gray or not there at all antartica very rarely gets sun. so it would be hard to see your shadow. hope this ! (sorry if it dosn't)

explanation:

Answer from: Quest

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm. the wire diameter is d = 0.9 mm. the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2) in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

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Aparallel plate capacitor of area a = 30 cm2 and separation d = 5 mm is charged by a battery of 60-v...