Please do problem 1675 Answer 21.2 / 63.6 / 35.4 / 28.3 / 35.4 V In an R-L serie
ID: 1507473 • Letter: P
Question
Please do problem 1675
Answer
21.2 / 63.6 / 35.4 / 28.3 / 35.4 V
In an R-L series circuit, the generator has constant e.m.f. amplitude 50 V and frequency 1000 rad.s^-1. R = 300 ohm L = 0.90 H. What is the impedance of the circuit? What is the current amplitude? What are the voltage amplitudes across the resistor and across the inductor? What is the phase angle theta ? Does the current lag or lead? Draw a phasor diagram. How are the answers to (a) - (e) changed if the generator has r.m.s e.m.f. 50 V instead of amplitude 50 V? Five infinite-impedence voltmeters, calibrated to read r.m.s. values are connected as shown. What does each voltmeter read if xi_max = 50 V, angular frequency = 1000 rad/sec, R = 300 ohm, L = 0.9 H, C = 2.0 muF? A pure resistance and a pure inductance are connected in series across a 100 V (ms) AC line. An AC voltmeter gives the same reading when connected across either the R or the L. What does it read? The magnitude of R and L are altered so that a voltmeter across L reads 50 V. What will the voltmeter read across R? The reactance of an inductor and a capacitor are equal at a frequency f_0. Show in the same diagram the reactance of the inductor and the capacitor as a function of frequency, over a range of frequencies from zero to 2f_0. Show also the reactance of the two in series. A 6.67 muF capacitor is connected in series with a coil to an AC e.m.f. of 1.2 V (rms) and controllable frequency. When the frequency is changed, and observer finds that the current reached its largest rms value of 0.2. A when the angular frequenct=y is 50,000 rad/sec. Find the resistance and inductance of the coil. What is the current when omega = 150,000 rad/sec? What is the peak voltage across the capacitor at this frequency in (b)?Explanation / Answer
Capacitive Reactance Xc = 1/(2fC) = 1/C
Inductive Reactance X = 2fL = L
Impedance Z = (R² + X²)
where X = X – Xc
= 2f
Phase angle = arctan (X/R)
Xc, X, Z are in , f is in Hz
C in farads, L in Henrys
Now substitute the values and solve this