Physics, 23.11.2019 07:31 makaylaf16571

A1.40 mh inductor and a 1.00 µf capacitor are connected in series. the current in the circuit is described by i = 14.0 t, where t is in seconds and i is in amperes. the capacitor initially has no charge.
(a) determine the voltage across the inductor as a function of time. mv
(b) determine the voltage across the capacitor as a function of time. (v/s2) t2
(c) determine the time when the energy stored in the capacitor first exceeds that in the inductor.

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Answer from: Kizmit1423

Explanation:

Inductance L = 1.4 x 10⁻³ H

Capacitance C = 1 x 10⁻⁶ F

a )

current I = 14 .0 t

dI / dt = 14

voltage across inductor

= L dI / dt

= 1.4 x 10⁻³ x 14

= 19.6 x 10⁻³ V

= 19.6 mV

It does not depend upon time because it is constant at 19.6 mV.

b )

Voltage across capacitor

V = ∫ dq / C

= 1 / C ∫ I dt

= 1 / C ∫ 14 t dt

1 / C x 14 t² / 2

= 7 t² / C

= 7 t² / 1 x 10⁻⁶

c ) Let after time t energy stored in capacitor becomes equal the energy stored in capacitance

energy stored in inductor

= 1/2 L I²

energy stored in capacitor

= 1/2 CV²

After time t

1/2 L I² = 1/2 CV²

L I² = CV²

L x ( 14 t )² = C x ( 7 t² / C )²

L x 196 t² = 49 t⁴ / C

t² = CL x 196 / 49

t = 74.8 μ s

After 74.8 μ s energy stored in capacitor exceeds that of inductor.

Answer from: Quest

Assuming you're referring to significant figures, none of these answer choices are shown to be zero as significant digits. did you, by chance, forget to add something?

Answer from: Quest

All these statements are related to drake's equation. it is a probabilistic equation that shows an aproximate number of civilizations in our galaxy that we can communicate with. all the numbers that are inserted into equation are not precisely known so the result varies from 1000 to 100,000,000. the equations was not created to calculate exact number of extraterrestrial civilizations but to increase scientific knowledge how to find them.the equation is: $n= r_{*} *f_{p}*n_{e}*f_{l}*f_{i}*f_{c}*l$ where: n= represents the number of civilizations in our galaxy that we could in principle communicate with today. $r_{*} =$ the average rate of star formation in our galaxy $f_{p} =$ the fraction of those stars that have planets $n_{e} =$ represents the number of planets in the galaxy that are in principle capable of having surface liquid water and life. $f_{l} =$ essentially represents the probability that life eventually arises on a habitable planet. represents the number of life-bearing planets in the galaxy. $f_{i} =$ epresents the total number of planets on which intelligent beings have evolved and developed a communicating civilization at some time in the galaxy's history. $f_{c} =$ essentially represents the probability that on a planet with life, some organisms will eventually evolve to the point where they can build radio telescopes. $l =$ is a factor that depends on how long civilizations that reach our level of technology are able to survive.

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A1.40 mh inductor and a 1.00 µf capacitor are connected in series. the current in the circuit is des...

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