Answer:

**Answer:**

m**V**

**Explanation:**

The voltage across a capacitor at a time t, is given by:

----------------(i)

Where;

v(t) = voltage at time t

= initial time

C = capacitance of the capacitor

i(t) = current through the capacitor at time t

v(t₀) = voltage at initial time.

From the question:

C = 2μF = 2 x 10⁻⁶F

i(t) = 3 mA

t₀ = 0

v(t₀ = 0) = 0

Substitute these values into equation (i) as follows;

[Solve the integral]

Therefore, the voltage across the capacitor is m**V**

A small family home in Tucson, Arizona has a rooftop area of 2667 square feet, and it is possible to capture rain falling on about 61.0% of the roof. A typical annual rainfall is about 14.0 inches. If the family wanted to install a tank to capture the rain for an entire year, without using any of it, what would be the required volume of the tank in m3 and in gallons? How much would the water in a full tank of that size weigh (in N and in lbf)?

Calculate how large a mass would be necessary to obtain a mechanical noise limit of [Equation] = 1 nG, 1 µG, and 1 mG if the mechanical resonance frequency is [Equation] = 100 Hz. If the mass is to be made of cube of `silicon, what would its physical dimensions be?

There are three homes being built, each with an identical deck on the back. Each deck is comprised of two separate areas. One area is 112.5 square feet, while the other is136,4 square feet. What is the total square footage of the decks for all three homos? Your answer should be to the nearest tonth of a square

Benzene vapor at 480°C is cooled and converted to a liquid at 25°C in a continuous condenser. The condensate is drained into 1.75-m3 drums, each of which takes 2.0 minutes to fill. Calculate the rate (kW) at which heat is transferred from the benzene in the condenser.

Where should the Q point of an amplifier be on a DC load line to have the LARGEST linear output?

Calculate how large a mass would be necessary to obtain a mechanical noise limit of [Equation] = 1 nG, 1 µG, and 1 mG if the mechanical resonance frequency is [Equation] = 100 Hz. If the mass is to be made of cube of `silicon, what would its physical dimensions be?

There are three homes being built, each with an identical deck on the back. Each deck is comprised of two separate areas. One area is 112.5 square feet, while the other is136,4 square feet. What is the total square footage of the decks for all three homos? Your answer should be to the nearest tonth of a square

Benzene vapor at 480°C is cooled and converted to a liquid at 25°C in a continuous condenser. The condensate is drained into 1.75-m3 drums, each of which takes 2.0 minutes to fill. Calculate the rate (kW) at which heat is transferred from the benzene in the condenser.

Where should the Q point of an amplifier be on a DC load line to have the LARGEST linear output?

The four relevant **pressures** in a Rankine cycle with one stage of reheat are P1, P2, P3, and P4.

For a **Rankine cycle** with one stage of reheat between turbines, there are typically four relevant pressures:

- Boiler pressure (P1): This is the pressure at which the water is heated in the boiler before entering the first turbine.
- High-pressure
**turbine**outlet pressure (P2): This is the pressure at the outlet of the first turbine before the steam is sent to the reheater. - Reheat pressure (P3): This is the pressure at which the
**steam**is reheated before entering the second turbine. - Low-pressure turbine outlet pressure (P4): This is the pressure at the outlet of the second turbine, which is also the condenser pressure.

To know more about **Rankine cycle **visit:

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**Answer:**

**Explanation:**

Given that

Load is uniformly distributed load and beam is simply supported.

Ra + Rb= wL

Ra = Rb =wL / 2

Lets x is measured from left side,then the deflection of beam at any distance x is given as

The maximum deflection of beam will at x = L/2 (mid point )

**Answer:**

Cooling tower using the "Induced draft tower" mode of operation.

**Explanation:**

Electric generating power plant generates a lot of steam and heat. On the efficiency aspect of the cooling tower with respect to the operation of the power plant, a cooling tower with its fan at the end of the airstream leaving the tower is best applied considering the pressure of steam coming out of the turbine. On the maintenance angle, it is easier to maintain.

**Answer:**

- branch 1: i = 25.440∠-32.005°; pf = 0.848 lagging
- branch 2: i = 21.466∠63.435°; pf = 0.447 leading
- total: i = 31.693∠10.392° leading; pf = 0.984 leading

**Explanation:**

To calculate the currents in the parallel branches, we need to know the impedance of each branch. That will be the sum of the resistance and reactance.

The inductive reactance is ...

The capacitive reactance is ...

__Branch 1__

The impedance of branch 1 is ...

Z1 = 8 +j4.99984 Ω

so the current is ...

** I1 =** V/Z = 240/(8 +j4.99984) ≈ **25.440∠-32.005°**

The **power factor** is cos(-32.005°) ≈ **0.848 (lagging)**

__Branch 2__

The impedance of branch 2 is ...

Z2 = 5 -j10 Ω

so the current is ...

** I2 = **240/(5 +j10) ≈ **21.466∠63.435°**

The **power factor** is cos(63.436°) ≈ **0.447 (leading)**

__Total current__

The total current is the sum of the branch currents. A suitable calculator can add these vectors without first converting them to rectangular form.

It = I1 +I2 = (21.573 -j13.483) +(9.6 +j19.2)

** It ≈** 31.173 +j5.717 ≈ **31.693∠10.392°**

The **power factor** for the circuit is cos(10.392°) ≈ **0.984 (leading)**

__

The phasor diagram of the currents is attached.

_____

*Additional comment*

Given two vectors, their sum can be computed several ways. One way to compute the sum is to use the Law of Cosines. In this application, the angle between the vectors is the supplement of the difference of the vector angles: 84.560°.

**Answer:**

**exploration**

**Explanation:**

Other than the scientific reasons listed in the question, one of the main reasons why people all over the world are pursuing this endeavor is **exploration**. As human beings, we love to imagine new worlds and life-forms that we have never seen before. This fuels our need for exploration. Scientists throughout generations have dedicated their entire lives to learning and creating newer and better technology in order for humans to take that next step in exploring and learning the secrets of the universe.

What type of search do you think this would be?

This type of search would be a **linear search**. A linear search involves looking at each item in the array one by one until the desired item is found.

In this case, you would look at each square in the **array **until you find the one that **matches **the object pictured on the left. This is a common search method for small arrays or when the array is unsorted.

The **algorithm continues **until the target element is found, or until it reaches the end of the array and fails to find the target element. Linear searches are useful in scenarios where the array is small and unsorted, as the algorithm does not need to compare every element in the array to find the target element.

Learn more about **linear search:**

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