A sinusoidal voltage is given by the expressionv=10 cos (3769.91t−53.13∘) V.Find (a) f in hertz; (b) T in milliseconds; (c) Vm; (d) v(0); (e) ϕ indegrees and radians; (f) the smallest positive value of t at which v=0;and (g) the smallest positive value of t at which dv/dt=0

A sinusoidal voltage is given by the expressionv=10 cos (3769.91t−53.13∘) V.Find (a) f in hertz; (b) T in milliseconds; (c) Vm; (d) v(0); (e) ϕ indegrees and radians; (f) the smallest positive value of t at which v=0;and (g) the smallest positive value of t at which dv/dt=0

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter17: Resistive-inductive Series Circuits

Section: Chapter Questions

Problem 2PP: Assume that the voltage drop across the resistor, ER, is 78 V, that the voltage drop across the...

See similar textbooks

Related questions

Q: The sinusoidal signal x(t} = 3 cos(200t + 7/6) is passed through a square-law device defined by the…

A: Need to find dc component and specify amplitude and fundamental frequency

Q: نقطة واحدة The response curve of the system as shown, what will be the natural frequency and damping…

Q: For the circuit shown below: determine i(t) of the circuit below, when v1(t)=10 cos 10t -Reactive…

Q: (h) A second-order system is defined by the equation 1.1 in sinusoidal steady state, where s…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: (1) Derive the mathematical expression for the inductor current iL(t) for 0 t1. (4) Calculate the…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 8.16.2 For the RLC circuit shown in the image below, assume the circuit has long reached steady…

A: The solution is given below

Q: Given the circuit below. i, (t) = v210 cos(377t). Give your answer in four decimal places if it is…

A: As per our guide lines when student post question with multiple subparts we have to solve first…

Q: A series RLC circuit is constructed employing component values R = 100 Sa and L = 1.5 mH along with…

A: In this we will find Capacitance C with help of data...And find impedance and current for series…

Q: 5. a. Find the mathematical expressions for the transient behavior of the voltage vc and the current…

Q: The current in the 20 mH inductor is 10 cos(10,000t + 30°)mA.Calculate (a) the inductive reactance;…

Q: A 0.1 henry inductor, a 4x10^(-3) farad capacitor, a O ohm resistor, and a voltage source having a…

Q: Suppose an electrical signal generated, y(t) can be modelled as follows where t, is time in second,…

A: Given the output signal as given below: y(t)=0.5+2sin360πt-π4+1.5sin440πt+π2+sin1500t+π3 a) We need…

Q: 8.3.7 For the RLC circuit shown in the image below, if R1 = 5 2 and R2 = 6 2, C = 0.16 F, and the…

Q: The equation of motion of a particle in simple harmoniC motion is given by: x(t) = 0.3cos(wt), where…

A: In this question we need to find a time period of oscillation.

Q: 8.3.8 For the RLC circuit shown in the image below, if R1 = 2 S2 and R2 = 9 52, C = 0.31 F, and the…

A: For the given circuit calculation of steady state value of capacitor voltage VC∞. Given: R1=2 ΩR2=9…

Q: 8.47.1 For the RLC circuit shown in the image below, assume the circuit has long reached steady…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Q.18 ** *** [ The current in a coil of self-inductance of 4H changes from 10A to 2A in t seconds and…

A: Given: Self inductance of coil, L = 4 H Current changes from 10 A to 2 A, so ∆i=10-2 A=8 A Induced…

Q: The voltage across the terminals of the 5µF capacitor is 30 cos (4000t + 25°) V. Calculate (a) the…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 01: Consider the closed loop system that shown in Fig.(1): K R(s) Cis) s(Ts+1) H(s) Fig.(1) The…

A: NECESSARY CONDITIONS FOR STABILITY: All the coefficients of the Characteristics equation are…

Q: The sinusoidal signal x(t) = 3 cos(200t + a/6) is passed through a square-law device defined by the…

A: x(t) = 3cos(200t + pi/6) is passed through a square law device defined by the input- output…

Q: The life of an automotive component can be modelled by Weibull distribution a = 6.2x105 6.2x10° (a)…

A: weibull distribution α=6.2 ×105 6.2×105 ; β=1.3

Q: The system finction of a discrete-time system is given by: 1+32 3 H(z) = 1- / Find the poles and…

Q: U(s) E(s) K Y(s) s(s+1) a) If the input of the system is u(t) = t, the range of values K will take…

Q: The voltage applied to the circuit shown at t=0 is20 cos(800t+25∘) V. The circuit resistance is 80…

Q: Example two : A 12-stage impulse generator has 0.126 µF/stage. The wave front and the wave tail…

A: Front time t1 is calculated as shown below

Q: 1. A circuit consist of an inductance of 0.50 henry, a resistance of 20 ohms, a condenser of…

Q: 9. In the non-sinusoidal periodic current circuit shown in Fig. 9, R=20SN, L=20mH, 50 G = 50µF, C,…

A: Periodic Signal: A signal x(t) is said to be periodic if it repeats itself after finite amount of…

Q: The sinusoidal signal x(t) = 3 cos(200t + 7/6) is passed through a square-law device defined by the…

A: A sinusoidal signal is represented as x(t)=A sinωt+θ or A cosωt+θ Here there is no DC component. But…

Q: From its below response to a unit step input, find the damping ratio (5), undamped natural frequency…

Q: The sinusoidal voltage source in the circuit shown in Fig. 1 is generating the voltage vg = 20 sin…

Q: Figure 2 (c) If K(s) = kp, find the value of kp such that the natural frequency (wn) is 10 rad/sec.…

Q: Given the circuit below. i, (t) = v210 cos(377t). Give your answer in four decimal places if it is…

A: Belief description: For an AC circuit we have 3 types of powers such as real power, reactive and…

Q: A 1.5 H coil has R of 70 2. The coil is energised by e= 149 sin 314 t. obtain the expression for the…

Q: A 1 H choke has a resistance of 50 Ω. This choke is supplied with an a.c. voltage given by e = 141…

A: Given data : The value of inductor L=1H The resistance of choke R=50Ω

Q: Example 3.1: Find the steady-state response of the system 1 H(z) = (z – 0.1)(z – 0.5) - | due to the…

A: Given System function and sampled sinusoid input . We need to determine the steady state response.…

Q: Problem 10.9 For the circuit shown in Fig. 10.7, find the current at t> switch is closed at t = 0.…

Q: The voltage across the terminals of the 5μF capacitor is 30 cos (4000t + 25°) V. Calculate (a) the…

A: Given, Capacitor=C=5μF=5×10-6F Voltage across Capacitor Terminal=V(t)=30cos4000t+25°V

Q: The sinusoidal signal x(t) = 3 cos(200t + a/6) is passed through a square-law device defined by the…

A: Given x(t) is x(t)=3cos(200t+π/6) When the signal x(t) is passed through the non-linear device the…

Q: Q.6: For the circuit shown beside, the switch in position "1" for long period enough for…

Q: For the circuit shown below, find the steady-state current associated with the capacitor. 0.SH Vs fe…

A: The source frequency is given as ω=10 rad/s. Converting the circuit parameters in phasor domain as…

Q: 2. The graph shows the current entering the positive plate of a capacitor. Negative current means…

A: Graph shows the current entering the positive plate of a capacitor. Find the charge after 10seconds…

Q: A forced excited m–k–c system is under a harmonic force F: F=5000sinωt If the mass m = 50 kg;…

Q: Example 2.22 Find the steady-state response of the system 1 H(2) = (z – 0.1)(z - .5) due to the…

A: The solution is given below

Q: Q.9: For the circuit shown, if (it=5+3sin@t+1.5sin2@t) Amp. Write the: J22 1. Non-sinusoidal current…

A: 1. Current equation in capacitance is by current division rule- ic =j26-j8×iT…

Q: Why is the following situation impossible? The LC circuit as shown has L = 30.0 μH and C = 50.0 μF.…

A: The energy stored in the capacitor is given by the expression as shown below: E=12CV2 The voltage…

Q: 2. The voltage across the terminals of a 5µF capacitor is J60 V, |(Aje-1500 + Azte 15004) V, 12 0. t…

A: The voltage across the capacitor terminal is, (a). Determining the initial energy stored in the…

Q: 8.16.2 For the RLC circuit shown in the image below, assume the circuit has long reached steady…

Q: The relaxation time of mica (G = 10-15 mho/m, ɛ, = 4) is %3D 7.36 hrs 2.456 hrs 4.912 hrs 9.82 hrs

Q: A complex voltage 'v' is represented by: v= 25 + 100 sin ar + 40sin(3ax + a/6) + 20sin(Sax + a /12)…

A: Given that vt=25+100sinωt+40sin3ωt+π6+20sin5ωt+π12ω=104 rad/secR=5 ohmL=500μH Calculate RMS value…

Question

A sinusoidal voltage is given by the expression
v=10 cos (3769.91t−53.13∘) V.
Find (a) f in hertz; (b) T in milliseconds; (c) Vm; (d) v(0); (e) ϕ in
degrees and radians; (f) the smallest positive value of t at which v=0;
and (g) the smallest positive value of t at which dv/dt=0

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Sinusoids and Phasors of Alternating Circuit

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The voltage applied to the circuit shown at t=0 is20 cos(800t+25∘) V. The circuit resistance is 80 Ω and the initialcurrent in the 75 mH inductor is zero.1. Find i(t) for t≥0.2. Write the expressions for the transient and steady-state componentsof i(t).3. Find the numerical value of i after the switch has been closed for1.875 ms.4. What are the maximum amplitude, frequency (in radians persecond), and phase angle of the steady-state current?5. By how many degrees are the voltage and the steady-state currentout of phase?
Suppose an electrical signal generated, y(t) can be modelled as follows where t, is time in second, y(t) is voltage in mv. a) Produce graphs showing the amplitude and phase spectrum of y(t). b) State whether this time-domain signal y(t) is periodical, or non-periodical and justify your answer.
The current in the 20 mH inductor is 10 cos(10,000t + 30°)mA.Calculate (a) the inductive reactance; (b) the impedance of the inductor;(c) the phasor voltage V; and (d) the steady-state expression for v(t)
Obtain the value of I1, if M=1/√2H, and the circuit is in steady state at t = 0.
given that vc=q/C. derive the expression for q in terms of time t.
The frequency of the source voltage in the circuit isadjusted until vg is in phase with ig. What is the value of ω inradians per second?2. If ig=60 cosωt mA (where ω is the frequency found in [a]), what isthe steady-state expression for vg?
The circuit is operating inthe sinusoidal steady state. The capacitor is adjusted until the current igis in phase with the sinusoidal voltage vg.1. Specify the capacitance in microfarads if vg=80 cos5000t V.2. Give the steady-state expression for ig when C has the value foundin (a).
Step functions can be used to define a window function. Thusu(t −1)−u(t−4) defines a window 1 unit high and 3 units wide located on the time axis between 1 and 4. A function f(t) is defined as follows: f(t)=0,t≤0;=−20t,0≤t≤1 s= −20,1 s≤t≤2 s=2 cosπ2t,2 s≤t≤4 s;=100−20t,4 s≤t≤5 s=0,5 s≤t<∞. 1. Sketch f(t) over the interval −1 s≤t≤6 s. 2. Use the concept of the window function to write an expression for f(t).
In the given circuit, consider M = 1 H. Determine the energy stored in the coupled inductors at t = 2 s. The energy stored in the coupled inductors is J
A chirp is a signal of the form x(t) = A sin(2πϕ(t)) where A is the amplitude and the function ϕ(t) is the phase of the chirp. If the phase has the form ϕ(t) = f0 ((t1 − t0) / ln ( f1/ f0 )) * ((f1/ f0)^( t−t0/ t1−t0 ) − 1 ) + ϕ0, Then the signal is called a logarithmic chirp, exponential chirp, or exponentially swept sine. Here, f0 is the frequency at time t0, f1 is the frequency at time t1, and ϕ0 is the phase at time t0, where t1 > t0, f1 ̸= f0, and f1f0 > 0 The frequency of a chirp at time t is f(t) = dϕ/ dt . What would the frequency of a logarithmic chirp as a function of time t and show that the frequency strictly increases for t0 < t < t1 when f1 > f0 and strictly decreases for t0 < t < t1 when f1 < f0.? Thank you for the help.
A forced excited m–k–c system is under a harmonic force F: F=5000sinωt If the mass m = 50 kg; k=80E3 N/m; damping ratio=0.3 and dynamic deflection is to be less than 0.08 m. Determine the range of operating excitation frequency. Also the show the operating range of frequency on a graph.
The characteristic equation of a system is given as s3+25s2+10s+50=0. What is the number of the roots in the right half s-plane and the imaginary axis respectively?