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natima [27]
4 years ago
15

Resistors labeled 100 Ω have true resistances that are between 80 Ω and 120 Ω. Let X be the mass of a randomly chosen resistor.

The probability density function a. What proportion of resistors have resistances less than 90 Ω? b. Find the mean resistance.
Physics
1 answer:
STatiana [176]4 years ago
5 0

Answer:

See explanation for step by step explanations.

Explanation:

Let X be the mass of a randomly selected resistor

The probability density function is given as

, 80<x<120

=0, otherwise

a) By using the given pdf we have to find the probability of the resistors having resistance less than 90

=

=

=0.0625

the probability of the resistors having resistance less than 90 is 0.0625

Step 2 of 4<

/p>

b) we have to find the mean resistance

Mean=

=

=

=106.67

The mean resistance is 106.67

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How many newtons of force will 2 pieces of paper have if one has a charge of .2 Coilombs and the other has a charge of .3 Coulom
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1) The electrostatic force between the two pieces of paper is 2.16\cdot 10^{13} N

2)

  • If the charges of the two pieces of paper are both + or both -, they repel each other
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Explanation:

1)

The electrostatic force between two charged objects is given by Coulomb's law:

F=k\frac{q_1 q_2}{r^2}

where:

k=8.99\cdot 10^9 Nm^{-2}C^{-2} is the Coulomb's constant

q_1, q_2 are the two charges

r is the separation between the two charges

In this problem, we have the following situation:

q_1 = 0.2 C is the charge on the first piece of paper

q_2 = 0.3 C is the charge on the second piece of paper

r=0.005 m is their separation

Substituting into the equation, we find the magnitude of the electrostatic force between them:

F=k\frac{q_1 q_2}{r^2}=(8.99\cdot 10^9) \frac{(0.2)(0.3)}{(0.005)^2}=2.16\cdot 10^{13} N

2)

The electrostatic force can be either attractive of repulsive, depending on the relative sign of the charges of the objects involved.

In particular, we have:

  • If the two charges have same sign (both positive or both negative), the force between them is repulsive
  • If the two charges have opposite sign (one positive and one negative), the force between them is attractive

Therefore, in this case:

  • If the charges of the two pieces of paper are both + or both -, they repel each other
  • If the charges of one piece of paper is positive and the other one is negative, they attract each other

Learn more about electric force:

brainly.com/question/8960054

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#LearnwithBrainly

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