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MrMuchimi
3 years ago
13

A series circuit consists of a 100-ω resistor, a 10.0-μf capacitor, and a 0.350-h inductor. the circuit is connected to a 120-v

rms, 60-hz power supply. what is the rms current in the circuit?
Physics
1 answer:
Tpy6a [65]3 years ago
7 0
Current will be I=\dfrac{V_{rms}}{Z}=\dfrac{V_{rms}}{\sqrt{ R^{2}+(X_{C}-X_{L})^{2}}}\\where~X_{c}=\dfrac{1}{j.\omega .C}~and~X_{L}=j.\omega.L~where~\omega=2.\pi f~and~f=60Hz
now just pluf in the values and Voila..
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1. Ignore friction and determine an expression for the distance d the boxes travel before coming to rest. Choose the floor as th
Nadusha1986 [10]

Newton's second law allows us to find the results for the displacement and work on box 1 are:

       1) The displacement is   x = \frac{v_o^2 m_2}{2(m_1+m_2)} g

      2) The work is  W= \frac{1}{2} m_1v_o^2

1) Newton's second law says that force is directly proportional to the mass and acceleration of bodies.

         F = ma

Where the bold letters indicate vectors, F is the force, m the mass and the acceleration of the bodies

The reference system is a coordinate system with respect to which the decompositions of the forces are carried out and all the measurements are made, in this case we take a system where the x axis is horizontal, the y axis is vertical and the zero of the system is located at soil

In the attached we can see a free body diagram of the system where the external forces are indicated, let's apply Newton's second law to body 1

body 1

x-axis

          -T = m₁ a

body 2

 y-axis

           T - W₂ = m₂ a

           W₂ = m₂ g

let's solve the system

        - m₂ g = (m₁ + m₂) a

           a = - \frac{m_2}{m_1+m_2} \ g- m2 / m1 + m2 g

Kinematics studies the movement of bodies, let's use the expression

            v² = v_o^2 - 2 a x

When the body stops the velocity is zero

            x = \frac{v_o^2}{2a}

We substitute

            x = \frac{v_o^2}{2} \frac{m_2}{m_1+m_2} \ g

Since the two boxes are connected by a rope, they both travel the same distance

           

2) They ask for Tension work on box 1

Work is defined by the scalar product of force and displacement

        W = F. d

Where the bold letters indicate vectors, W is the work that is a scalar, F the force and d the displacement

We can write this expression by developing the dot product

       W  = F d cos θ

Where θ is the angle between force and displacement.

In this case the force is the tension of the rope, from the attached graph we see that the force is directed to the right and the displacement is to the left, therefore the angle is 180º and the cos  180 is equal to -1

We look for the tension from Newton's second law for box 1

          T = - m₁ a

Let's substitute

          T =- m_1 \ ( - \frac{m_2}{m_1+m_2} ) \ g  

          T = \frac{m_1m_2}{m_1+m_2} \ g

         

We calculate the work

         W = - \frac{m_1m_2}{m_1+m_2 } \ g ( \frac{v_o^2 (m1+m_2)}{2 m_2 g} )

         W = - ½ m₁ v₀²

In conclusion using Newton's second law we can find the results for the displacement and work on box 1 are:

1)  The displacement is  x= \frac{v_o^2 m_2}{2(m_1+m_2)} g

2) The work is  W = - ½ m₁ v₀²

Learn more here: brainly.com/question/17290735

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2 years ago
Under which of the following circumstances do neap tides occur?
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I think <span>its C
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B. Seismic Movement, Volcanic Activity, Plate Tension

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A student conduct an experiment to determine habitation of salt to water affect the density of the water the student feels three
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3 years ago
The "Biltmore Agreement" stipulated that a. remote broadcasts could not emanate from hotels. b. NBC could not give away tickets
Anna35 [415]

Answer:

The "Biltmore Agreement" stipulated that:

Radio stations agreed to broadcast no longer than five minutes of news, twice per day, while using information supplied by the newspapers.

e. radio stations could only air five-minutes newscasts a day.

Explanation:

The Biltmore Agreement tried to reconcile within the press war between newspapers and radio, as during its golden age the newspapers´ revenues decreased. Radio´s brand new technology was more attractive and creative for advertising and could report breaking news faster than the newspapers, which through the press associations including the Associated Press and the United Press, pressured to stop providing news to radio stations beginning a war in 1933, which partially ended with the Biltmore Agreement, which restricted the radio´s broadcasting of news if the newspapers continued publishing radio listings, radio stations were to broadcast no longer than five minutes of news, twice per day, if information supplied by the newspapers was used, no sponsors were allowed, and no more that 30 words in a single story were allowed either;  radio stations had to include: "See your daily newspaper for further details" in their announcements and, could only broadcast news after 9:30 AM for morning news, and after 9:00 PM for evening news, so people would have already received their newspapers.

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3 years ago
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