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Wittaler [7]
2 years ago
5

Before the switch is closed in the figure, the potential across the capacitor is 200 V. At some instant after the switch is clos

ed, the instantaneous current is 0.70 A. What is the energy in the capacitor at this instant
SAT
1 answer:
Lerok [7]2 years ago
5 0

The energy in the capacitor at the instant after the switch is closed, based on the potential across the capacitor is 31 mJ

<h3>What is the energy amount in the capacitor?</h3>

Because total energy is constant, this can be found by the formula:

= Initial energy in capacitor - Energy in inductor

The initial energy in the capacitor is:

= 0.5 x 4 x 10⁻⁶ x 200²

= 0.08J

The energy in the inductor is:

= 0.5 x 0.2 x 0.7²

= 0.049

The energy in the capacitor at that instant is:

= 0.08 - 0.049

=0.031 j

= 31 J

Find out more on the energy in the capacitor at brainly.com/question/27960614

#SPJ1

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In a study of helicopter usage and patient survival, among the 56,074 patients transported by helicopter, 235 of them
xxMikexx [17]

Using the hypergeometric distribution, it is found that the probability is 0.845 = 84.5%.

--------------------

  • The patients are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

Combination formula:

is the number of different combinations of x objects from a set of n elements, given as:

C_{n,x} = \frac{n!}{x!(n-x)!}

--------------------

  • 56074 patients, thus N = 56074
  • Sample of 40, thus, n = 40
  • 235 left against medical advice, thus, k = 235.

The probability that none left against medical advice is P(X = 0), so:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,56074,40,235) = \frac{C_{235,0}*C_{55839,40}}{C_{56074,40}} = 0.845

The probability is 0.845 = 84.5%.

A similar problem is given at brainly.com/question/24008577

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