Please answer one of the following 3. Generator. A generator\'s time-dependent i
ID: 1777701 • Letter: P
Question
Please answer one of the following3. Generator. A generator's time-dependent induced emf is shown in the plot below Assuming that the circular coil consists of 250 turns of wire, has a radius of 0.01 m, and is within a magnetic field of 0.25 T, do the following: (a) Identify which type of (b) Caleulate w, based on the given values and the plot. (e) Calculate three times (t, ta, ts) where the induced enf is equal to 0 V, other than generator is illustrated below and write out its E(t) equation. =0. (d) What is the value of the flux through the coil when the flux is at a maximum? E (t) 10 V 0 4. RLC circuit. A series RLC circuit has a 0.001 F capacitor, a 0.065 H inductor, and a 10 resistor, and is connected to an ac source with annplitude 12.0 V and frequency 90 Hz. Do the following. Remember you need w, not f! (a) Calculate the reactances (of the capacitor and inductor), the impedance, and current of this series circuit. (b) Calculate the voltages across each component of the circuit (VR, Vi, and Ve) (c) Find the phase angle, . (d) Draw a phasor diagram, indicating each of the component voltages and the emf amplitude.
Explanation / Answer
3)
a)
this is a sine wave generator and its equation is given as
E = Eo Sinwt
where Eo = 10 Volts
b)
N = number of turns = 250
A = area = pi r2 = (3.14) (0.01)2 = 0.000314
B = magnetic field = 0.25 T
w = ?
using the equation
Eo = N B A w
10 = (250) (0.25) (0.000314) w
w = 509.6 rad/s
c)
T = time period = 2pi/w = 2 x 3.14/509.6 = 0.0123 sec
t1 =0 ,
t2 = 0.0123/2 = 0.0062
t3 = 0.0123
d)
maximum flux = NBA = (250) (0.25) (0.000314) = 0.019625