Series R-L-C circuit
Series R-L-C circuit
Equation of current
Series R-L-C circuit
Equation of voltage
Series R-L-C circuit
Impedance of the circuit
Series R-L-C circuit
If net reactance is inductive
Series R-L-C circuit
If net reactance is capacitive
Series R-L-C circuit
If net reactance is zero
Series R-L-C circuit
At resonance
Series R-L-C circuit
Resonant frequency
Match the column :
Instantaneous voltage and instantaneous current in an L-R circuit in AC is
𝜋
𝑉 = 100 sin 100𝑡 and 𝑖 = 10 sin 100𝑡 − . Match the following
4
table :
Column-I Column-II
(A)𝑅 1
(p) SI unit
10 2
(B) 𝑋𝐿 (q) 5 2 SI unit
(C) 𝐿 (r) 10 2 SI unit
(D) Average power in one cycle (s) None
In a series circuit 𝑅 = 300 Ω, L = 0.9H, C = 2.0 𝜇𝐹 and 𝜔 = 1000 𝑟𝑎𝑑/
𝑠𝑒𝑐 The impedance of the circuit is
(a) 1300 Ω
(b) 900 Ω
(c) 500 Ω
(d) 400 Ω
The self inductance of a choke coil is 10 mH. When it is connected with
a 10V dc source, then the loss of power is 20 watt. When it is connected
with 10 volt ac source loss of power is 10 watt. The frequency of ac
source will be
(a) 50 Hz
(b) 60 Hz
(c) 80 Hz
(d) 100 Hz
In an LCR series ac circuit, the voltage across each of the components, L,
C and R is 50 V. The voltage across the LC combination will be
(a) 100 𝑉
(b) 50 2𝑉
(c) 50 𝑉
(d) 0 𝑉 (zero)
The value of alternating emf E in the given circuit will be
(a) 100 V
(b) 20 V
(c) 220 V
(d) 140 V
As given in the figure, a series connected across a 200 V, 60 Hz line
consists of a capacitor of capacitive reactance 30Ω a non-inductive
resistor of 44Ω, and a coil of inductive reactance 90Ω and resistance
36 Ω the power dissipated in the coil is
(a) 320 W
(b) 176 W
(c) 144 W
(d) 0 W
In a circuit L,C and R are connected in series with an alternating voltage
source of frequency f. The current leads the voltage by 45° the value of
C is
1
(a)
2𝜋𝑓 (2𝜋𝑓𝐿+𝑅)
1
(b)
𝜋𝑓 (2𝜋𝑓𝐿+𝑅)
1
(c)
2𝜋𝑓 (2𝜋𝑓𝐿−𝑅)
1
(d)
𝜋𝑓 (2𝜋𝑓𝐿−𝑅)
Match List I with List II
List - I List – II
𝜋
(p) Phase difference between current and (i) ; current leads
2
voltage in a purely resistive AC circuit
(q) Phase difference between current and (ii) Zero
voltage in a pure inductive AC circuit
𝜋
(r) Phase difference between current and (iii) ;current lags
2
voltage in pure capacitive AC circuit voltage
(s) Phase difference between current and (iv) −1
𝑋𝐶 − 𝑋𝐿
tan
voltage in an LCR series circuit 𝑅
The readings of ammeter in the following circuit is ..
In the circuit shown in figure, the ac source gives a voltage
𝑉 = 20 cos 2000𝑡 . Neglecting source resistance, the voltmeter
reading will be … V
In the circuit shown in figure neglecting source resistance the voltmeter
and ammeter reading of ammeter will be … A
Find out the impedance of given circuit.
Find out reading of AC ammeter and also calculate the potential
difference across, resistance and capacitor.
In LCR circuit with an AC source 𝑅 = 300Ω, C = 20 𝜇𝐹,
𝐿 = 1.0𝐻, 𝐸𝑟𝑚𝑠 = 50𝑉 𝑎𝑛𝑑 𝑓 = 50/𝜋 Hz. Find RMS current in the
circuit
