1 Find the phasors corresponding to the following signals: (a) v(1) = 21 cos(41 – 15) V (b) i(t) = -8 sin(10r + 70°) mA (c) v(f) = 120 sin(10r – 50°) V (d) i(1) = -60 cos(30r + 10) mA
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- H = 3RM2cos(9ft) where f = frequency, t = time, and the remaining variables are either proportionality constants or material constants. What is the maximum value H could have (algebraic answer)Given the following pairs of voltages and currents, indicate whether the element involved is a capacitor, an inductor, or a resistor, and determine the values of C, L or R where ω= 157 rad/s a. v = 2000 sin ωt ; i = 5 cos ωt b. v = 80 sin(157t + 150°); i = 2 sin( 157t + 60°) c. v = 35 sin(ωt − 20°); i = 7 cos( ?? − 110°)4. Find the phasors corresponding to the followinga. ? ? = 21 cos 4? − 15° ?b. ? ? = −8 sin 10? + 70° ?
- The current in an L-R-C series circuit has amplitude 0.120 Aand angular frequency 8.00 * 103 rad/s, and it has its maximum positivevalue at t = 0. The resistance is 95.0 Ω, the inductance is 6.50 mH,and the capacitance is 0.440 mF. For the resistor, inductor, and capacitor,find (a) the voltage amplitudes and (b) the instantaneous voltages att = 0.305 ms.27. A phasor can be represented or expressed in either rectangular form (x +j y) or polar form (z cis n) True False 28. By convention, values obtain from time domain representation are always real while in phasor domain representation, values are generally expressed in complex form. True False 31. Value of capacitance is usually affected by the following physical dimensions and construction of a capacitor: such as number of turns, its length, its cross-sectional area and the permeability of the core. True FalseA resistor'R' with resistance value of 24 ohm, an inductor 'L' with inductance 20mH, and a capacitor 'C' with capacitance 50 micro Farrad are connected in series with a AC voltage v(t) where v(t) = 50 cos (2 vt + 30 degrees) v. Determine the current i(t) and total impedance if the frequency f is i. 60 Hz ii. 400Hz
- b) Find the rms current flowing in an AC capacitive circuit when a 4μF capacitor is connected across a 880V, 60Hz supply.Using the phase shift of 72º from the Experiment, determine the inductance value, L, of the inductor shown. Vr(t) =3.7272 cos(4000 t - 72°) [V]If a phasor representation of a current is given by I = 70.7 ∠45° A, it is equivalent to
- A 40 Ω resistor and a 50 μ F capacitor are connected in series and supplied with analternating voltage v = 283 sin 314 t. The supply is switched on at the instant when the voltageis zero. Determine the expression for the instantaneous current at time t.3. A voltage across a 0.5 H is provided below. What is sinusoidal expression for the current? e =100 sin 20 t4. The voltage across 1 micro farrad capacitor is provided below. What is the sinusoidal expression for the current? e= 30 sin 400 t1. solve equation of the sinusoidal signal v(t) from the information, where v(t) = Vp sin ωt. Vp-p = 6 div Oscilloscope setting: horizontal = 0.5 ms/div 1 cycle = 8 div vertical amplitude = 0.5 volt/div 2. 1 cycle of 2 sinusoidal signals displayed with 10 kHz on the oscilloscope screen. If the two signals have a difference time with 20µs, what the value of phase shift between two signals/waveforms displayed on the scope screen? 3. It is possible for a circuit made up of a resistor, an inductor, and a capacitor (connected in series or parallel) to behave like a purely resistive circuit. Explain why.