In an experiment, 200 V AC is applied at the ends of an LCR circuit. The circuit consists of an inductive reactance (XL) = 50 Ω, capacitive reactance (XC) = 50 Ω and ohmic resistance (R) = 10 Ω. The impedance of the circuit is
10 Ω
20 Ω
30 Ω
40 Ω
A 12 Ω resistor and a 0.21 H inductor are connected in series to an a.c. source operating at 20 V, 50 Hz. The phase angle between the current and source voltage is :
30o
40o
90o
80o
In an a.c. circuit, the current is i = 5 sin (100t -π/2) amp and the a.c. voltage is v = 200 sin (100 t) volts. Then power consumption is
200 W
0 W
40 W
1000 W
In an AC circuit, V and I are given by
V = 100 sin (100 t) volt
and I = 100 sin (100 t + π/3) amp
The power dissipated in the circuit is
104 W
2.5 W
5 kW
10 W
Energy needed to establish an alternating current I in a coil of self inductance L is
L di/dt
zero
LI2/2
IL2/2
An alternating voltage E = 220√2 sin 100 t is connected to 1μF capacitor through an a.c. ammeter. The reading of the ammeter shall be :
22 mA
10 mA
40 mA
80 mA
The reactance of a capacitor of capacitance C is X. If both the freqauency and capacitance be doubled, then new reactance will be
X
2X
4X
X/4
Hot wire ammeters are used for measuring
a.c. only
d.c. only
Both a.c. and dc
None of these
In an AC circuit with voltage V and current i the power dissipated is
Depends on the phase between V and i
1/√2 Vi
½ Vi
Vi
An alternating voltage (in volts) given by
V = 200 √2 sin (100 t), is connected to a 1 μF capacitor through an AC ammeter. The reading of the ammeter will be
20 mA