# Determine the voltage across a 2-μF capacitor if the current through it is i(t) = 3e−6000t mA. Assume that the initial capacitor voltage is zero g

mV

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 mV

## Related Questions

for a rankine cycle with one stage of reheat between turbines, there are how many relevant pressures?

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:

1. Boiler pressure (P1): This is the pressure at which the water is heated in the boiler before entering the first turbine.
2. 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.
3. Reheat pressure (P3): This is the pressure at which the steam is reheated before entering the second turbine.
4. Low-pressure turbine outlet pressure (P4): This is the pressure at the outlet of the second turbine, which is also the condenser pressure.

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What is the deflection equation for a simply supported beam with a uniformly distributed load?

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 )

Whats are the best choice of cooling towers for electeic generating power plant and why?

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.

can anyone help me with this please.i have the current and pf for branch 1 and 2 but cant figure out the total current, pf and angle. thanks

• 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.

_____

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°.

Musk is working on developing reusable rockets in order to further us as a space-faring civilization. Given his life dedication to energy production, conservation, and efficiency, can you think of any other reasons that Musk may want to expand our ability to exist on other planets and in space?

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.

Imagine you have been asked to find the following object pictured on the left in the accompanying array on the right.RED AND WHITE SQUARES ALL LOOK SIMILAR
What type of search do you think this would be?