1/2 means that the voltage (or charge) of the system will increase to half more of what is left in a time equal to t1/2 seconds. Therefore if a system is already at half charge (t1/2 seconds after starting) then after t1/2 more seconds the system will be charged to 50% plus half of 50%. That is 25% more, or 75% of the entire charge. Let's say that four t1/2's have gone by. That means that the charge (or voltage) is at (50% + 1/2*50% + 1/2*1/2*50% + 1/2*1/2*1/2*50%) = 93.75% of maximum charge. Yikes! Now look in your manual for a more simple mathematical derivation of this concept. Given t1/2 to be 0.4406 seconds, how long should it take to reach 75% of maximum charge? answer in seconds.

Answers

Answer 1

Answer:

The answer is "0.047".

Explanation:

Given value:

[tex]\to t_{\frac{1}{2}}= 0.4406\\\\\to V=0.9375 V_{max}[/tex]

Calculating the capacitance:

[tex]\to V=V_{max} (1-e^{\frac{-t}{Rc}})[/tex]

In this, the t = time, which is taken to calculates its maximum voltage.

[tex]\to 0.9375 V_{max} = V_{max}(1-e^{- \frac{t}{103\times(165.279\times10^{-6})}})\\\\\to e^{- \frac{t}{103\times(165.279\times10^{-6})}}= 0.0625\\\\\to - \frac{t}{103\times(165.279\times10^{-6})} = \ln(0.0625)\\\\\to -t= 0.01702\times(-2.77258) \\\\ \to -t = -0.04719 \\\\ \to t= 0.04719 \approx 0.047 \ s[/tex]


Related Questions

What happens to the current in the other two lamps
if one lamp in a three-lamp parallel circuit burns out?

Answers

Answer:

If one of the filaments burns out, the resistance and the potential difference across the other lamps will not change; therefore, their currents will remain the same.

Explanation:

Answer:

кпукнгпееагегпаммршолип

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convex mirrors are DIVERGING mirrors. The image will get DIMINISHED and VIRTUAL

what is aerobic activities

Answers

Answer:

Aerobic exercise is any type of cardiovascular conditioning. It can include activities like brisk walking, swimming, running, or cycling. You probably know it as “cardio.”

By definition, aerobic exercise means “with oxygen.” Your breathing and heart rate will increase during aerobic activities. Aerobic exercise helps keep your heart, lungs, and circulatory system healthy.

Aerobic exercise differs from anaerobic exercise. Anaerobic exercises, such as weightlifting or sprinting, involve quick bursts of energy. They’re performed at maximum effort for a short time. This is unlike aerobic exercises. You perform aerobic exercises for a sustained period of time.

Explanation:

Aerobic exercise is physical exercise of low to high intensity that depends primarily on the aerobic energy-generating process. "Aerobic" is defined as "relating to, involving, or requiring free oxygen", and refers to the use of oxygen to adequately meet energy demands during exercise via aerobic metabolism

A toy remote car drives in a circle. It makes 2 revolutions in 20 seconds. What is the period of the object?​

Answers

Answer:

T = 10 seconds

Explanation:

Given that,

A remote car makes 2 revolutions in 20 seconds.

We need to find the period of the object.

It means, it will make [tex]\dfrac{2}{20}=0.1\ \text{revolutions/second}[/tex] .

lt T be the period of the object. So,

[tex]T=\dfrac{1}{0.1}\\\\T=10\ s[/tex]

It will take 10 seconds for one revolution.

24 How long does it take for the Earth to orbit the Sun?
A one day
B one week
C one month
D one year

Answers

Answer:

365 days

So The Final Answer is a Year

D is the answer

Explanation:

Answer:

C one month

Explanation:

Anyone knows this? Please answer... Spam will be reported.

Answers

Answer:

The correct option is;

The assertion is correct, but reason wrong

Explanation:

The question is with regards to the relationship between work, energy, power, and velocity

The mass of each of the persons running up the staircase = Different

The time it takes each person to run up the stairs = Equal time

Let, 'm₁' and 'm₂' represent the mass of each of the persons that ran up the stairs and m₁ > m₂

Let 't' represent the equal time it takes then to run up the stairs

Let 'h' represent the height of the stairs

The energy, 'E', it takes to run up the stairs is equal to the potential energy, P.E., obtained at the top of the stairs

P.E. = m·g·h

Where;

m = The mass of the person at an elevated height

g = The acceleration due to gravity = Constant

h = The height reached above ground level

Given that the height reached is the same for both of the persons, we have

For m₁, P.E.₁ = m₁·g·h and for m₂, P.E.₂ = m₂·g·h

Therefore, where, m₁ > m₂, we have;

P.E.₁ > P.E.₂

∴ E₁ > E₂

Power, 'P', is the rate at which energy is expended

∴ Power, P = E/t

∴ P₁ = E₁/t  > P₂ = E₂/t

Therefore, the person with the greater mass, 'm₁', uses more power than the person of mass 'm₂', in running up the stairs

Therefore, the assertion is correct

The average velocity, vₐ = (Total distance traveled, d)/(Total time taken, t)

Given that the distance, 'd', covered in running up the stairs by both persons is the same, and the time it takes them to complete the distance, 't', is also the same, we have;

The average velocity of the person with the greater mass m₁ is the same as the average velocity of the person with mass, m₂

Therefore, the reason is wrong

The answer is that the assertion is correct, but reason wrong

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