Find the sinusoid corresponding to V-30 210° +50 260° OV=73cos (@t+41.65°) OV=38.63sin (@t+96.80°) OV=38.36cos (@t+96.80°)
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- find the phase, frequency, amplitude, period of the sinusoid v(t) = 10sin(377t +45°). Graphically sketch the position of the sinusoidSolve for the steady state expression for vo(t) if vg(t) = 60 sin 8000t VProblem 1.3 (Sinusoids and Exponentials) All signals are defined for – ∞ < t < ∞.(a) Sketch the sinusoid xa(t) = 2 cos(10πt + π/6). What is its fundamental period? Repeat part (a) but for the sinusoid xb(t) = 5 sin(19πt − π/3).
- Given the sinusoidal voltage ? (?) = 70 sin(4π? + 10) V find: (i) The amplitude of the maximum voltage(ii) The period T(iii) The frequency fA circuit has an ac voltage source and a resistor and capacitorconnected in series. There is no inductor. The ac voltage source hasvoltage amplitude 900 V and angular frequency v = 20.0 rad/s. Thevoltage amplitude across the capacitor is 500 V. The resistor has resistanceR = 300 Ω. What is the average rate at which the ac source supplies electrical energy to the circuit?The circuit is operating in thesinusoidal steady state. Find io(t) if vs(t)=25 sin 4000t V
- At t=−2 ms, a sinusoidal voltage is known to be zero and goingpositive. The voltage is next zero at t=8 ms. It is also known that thevoltage is 80.9 V at t=0.1. What is the frequency of v in hertz?2. What is the expression for v?1. For the following sinusoids, determine which one leads and by how much a. ?(?) = 10cos (4? − 60°) and ?(?) = 6sin (4? + 50°)b. ?ଵ(?) = 4cos (377? + 10°) and ?ଶ(?) = −20cos(377?)c. ?(?) = 13 cos(2?) + 5 sin(2?) and ?(?) = 15cos (2? − 11.8°)1) Given the sinusoids v1(t) = 8cos (250t +15°) V and v2(t) = 6cos (250t – 45°) V, determine the time by which v2(t) is advanced or delayed with respect to v1(t).
- The circuit shown is operating in the sinusoidal steadystate. Find the value of ω ifio=100 sin(ωt+173.13°) mA,vg=500 cos(ωt+30°) VWhen an ac generator with a frequency of 180 Hz and an rms voltage of 36 V is connected to an RC circuit, the rms current is 0.28 A. If the resistance has a value of 54 Ω, what is the value of the capacitance? please sketch the circuitConsider the sinusoidal voltage v(t)=100cos(1000nt-65°)V. A. What is the period in milliseconds? B. What is the first time after t=0 that v(t)=80V? C. The sinusoidal function is shifted 2/5ms to the left along the time axis. What is the expression for v(t)?