i(t) =
v.(t)-V, cos(2 x ft+6)
dq
dt
i(t)
R1-552 r=1022
Vs
R² + (2π fL-2fc)²
fC
Vi(t)
v (t)
L-692 µH
9. For the circuit shown in Figure 3(A) the current as a function of time and its phase relative
to source voltage is given by:
v,(t)
v (t)
Figure 3: R1 is the internal resistance of the function generator
C-1.09 µF
cos(2π ft) ;
= tan
-1
wL C
R
; R = R1 + r
The amplitude of the voltage across the resistor r at resonance is measured to be V,
=
(iii) 0.0677A (iv) none of the above
0.677V.
(a) The amplitude of the source voltage V, is:
(i) 0.677V (ii) 1.02V (iii) 4.4V (iv) none of the above
(b) The amplitude of the current I at resonance is:
(i) 0.677A (ii) 1.02A
(c) The resonance frequency fr of this system is
(i) 9.22 × 10² Hz
(ii) 5.79 × 102 Hz (iii) 5.79 x 10³ Hz (iv) none of the above
(d) The inductive reactance XL, the capacitive reactance Xc and the impendence Z of this
circuit at resonance frequency is:
(i) XL = 2.520; Xc = 2.520; Z = 10.00
(iii) XL =
=
= 25.20; Xc = 25.2N; Z = 65.00
(ii) XL = 2.520; Xc = 2.520; Z = 65.00
(iv) none of the above