The rms value of an AC voltage is defined by where T is the period of the waveform (a) A voltage is given by v(t) Vcos(t) Show that vrms V 2 and is independent of (The relationship between the period T and the radian frequency is T 2 ) (b) A voltage is given by v(t) 2 5cos(350t) 3V Determine vrms MS

Question: The rms value of an AC voltage is defined by where T is the period of the waveform. (a) A voltage is given by v(t)

The rms value of an AC voltage is defined by

where T is the period of the waveform.
(a) A voltage is given by v(t) = Vcos(Ï‰t). Show that vrms = V/ˆš2 and is independent of Ï‰. (The relationship between the period T and the radian frequency Ï‰ is T = 2Ï€/Ï‰.)
(b) A voltage is given by v(t) = 2.5cos(350t) + 3V. Determine vrms.

Step by Step Solution

★★★★★

3.30 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Part a Script file syms w t T V vtVcoswt vt2vt2 vrmssqrtintvt2t0TT vrmsANSsubsvrms... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

652-B-F-F-M (877).docx

120 KBs Word File

Students Have Also Explored These Related Finance Questions!

Bar OC rotates with a clockwise angular velocity w OC = 2 rad/s. The pin A attached to bar OC engages the straight slot of the sector. Determine the angular velocity w of the sector and the velocity...

The spread of an infection from a single individual to a population of N uninfected persons can be described by the equation dx/dt = -Rx(N + l - x) with initial condition x(0) = N where x is the...

Determine the solution of the following differential equation that satisfies the given initial conditions. Plot the solution for 0

The folium of Descartes is the graph shown in the figure. In parametric form its equation is given by: x = 3t/1 + t3 and y = 3t2/1 + t3 for t 1 (a) Use MATLAB to show that the equation of the folium...

23. The rms value of an AC voltage is defined by: where T is the period of the waveform. (a) A voltage is given by . Show that and is independent of . (The relationship between the period T and the...

Exp.: 3 / RMS value of an AC waveform Objective: To investigate ac waveforms and the power carried by them. Introduction: At times ti, ta, ts, and ta, the power will be iz R, ZR,R, and i 3R Watts...

1. Define organization Behavior. 2. List the types of personality. 3. Difference between emotional intelligence and emotional Labour. 4. What do you understand by group dynamics? 5. Define...

Consider the circuit of Figure 1. Assume that the capacitor is short for AC signals and open for DC signals. Also, assume that voltage vs in Figure 1 is a 20-kHz sinusoid with a peak-to-peak swing of...

Electrical current comes out of our wall plugs (well, in New Zealand anyway) as alternating current (AC), which means that the current and the voltage vary like a sine wave, with a root mean square...

Whenever a lab asks you to assemble a circuit, and measure some quantities, implement (capture) the circuit in MultiSim, and use its simulation tools to gather the measurements. Rectification is the...

Let A be an operator with domain D(A) = {v C() (0, b) : v(0) = v(b) = 0} (Dirichlet type boundary conditions). If ker(A) = {0}, then calculate the Green function G(x, s) and determine the solution...

Read the article Skys the limit as Fox set for break-up bids and write a summary

Why does McDonald's start international expansion plans with HR reseamling eompensation asal benefits and securing a labor consultant? a . to unity all HR processes to expand spobally b . to idertily...

In Problem 7.1, if there was no bedrock present for at least 4 m below the foundation, what would the ultimate bearing capacity be? Problem 7.1 A 2.5 m wide rough continuous foundation is placed in...

In Problem 7.3, if no bedrock was present for at least 4 m below the foundation, determine the ultimate bearing capacity. Problem 7.3 A 1.5 m 2.0 m rectangular foundation is placed at 1.0 m depth in...

The response of the deflection of a fluid-filled catheter to changes in pressure can be modeled using a second-order model. Knowledge of the parameters of the model is important because in...

For each of the three unit step responses shown in Figure P4.10, find the transfer function of the system. 0.05 0.1 0.15 0.2 0.25 Time (seconds) (a) 25 20 15 10 2 3 5 Time (seconds) (b) 1.4 1.2 1.0...

The Willow Run Outlet Mall has two Haggar Outlet Stores, one located on Peach Street and the other on Plum Street. The two stores are laid out differently, but both store managers claim their layout...

5. What did you learn about planning based on this case? Explain.

An investment dealer paid $24 756.25 to acquire a $25 000, 182-day Government of Canada Treasury bill at the weekly auction. What was the annual rate of return on this T-bill?

Government of Alberta 364-day T-bills with a face value of $1000000 were purchased on April 7 for $971 578. The T-bills were sold on May 16 for $983 500. (a) What was the market yield rate on April...

At auction on June 22, 2015, $100 000, 91-day treasury bills were sold for $99 600. An investor purchasing one of these T-bills held it for 40 days, and then sold it to yield 1.4%. (a) What was the...

Consider the two savings plans below. Compare the balances in each plan after 6 years. Which person deposited more money in the plan? Which of the two investment strategies is better? Assume that the...

You are given the following information concerning Parrothead Enterprises: Debt: 10,600 7.1 percent coupon bonds outstanding, with 24 years to maturity and a quoted price of 108. These bonds pay...

Draw the network topology for connecting 5 nodes using each of the following schemes: mesh, ring, star, and bus.