An inductor of inductance L, a capacitor of capacitance C and a resistor of resistance ' R' are connected in series to an ac source of potential difference ' V volts as shown in figure. Potential difference across L, C and R is 40 V, 10 V and 40 V, respectively. The amplitude of current flowing through LCR series circuit is 10√2 A. The impedance of the circuit is:
An inductor of inductance L, a capacitor of capacitance C and a resistor of resistance ' R' are connected in series to an ac source of potential difference ' V volts as shown in figure. Potential difference across L, C and R is 40 V, 10 V and 40 V, respectively. The amplitude of current flowing through LCR series circuit is 10√2 A. The impedance of the circuit is:
Option 1 -
4√2 Ω
Option 2 -
5/√2 Ω
Option 3 -
4 Ω
Option 4 -
5 Ω
-
1 Answer
-
Correct Option - 2
Detailed Solution:Diameter = main scale reading + (circular scale reading × least count)
Diameter = 0 + (52 × 0.01 mm) = 0.52 mm = 0.052 cm.
In the RLC circuit:
Given I? = 10√2 A, so I? = I? /√2 = 10 A.
V? = √ [V? ² + (V? - V? )²] = √ [40² + (40 - 10)²] = √ [1600 + 30²] = √ [1600 + 900] = √2500 = 50 V.
Impedance Z = V? / I? = 50 V / 10 A = 5 Ω.
For Hindi: I? = 10√2 A, V? = 50V, Z = V? /I? = 50/ (10√2) = 5/√2 Ω.
Similar Questions for you
At resonance VL = VC
On increasing XC decreases so Z decreases, current in circuit increases.
R =
L = 2 mH
E = 9V
Just after the switch ‘S’ is closed, the inductor acts as open circuit.
Taking an Exam? Selecting a College?
Get authentic answers from experts, students and alumni that you won't find anywhere else
Sign Up on ShikshaOn Shiksha, get access to
- 65k Colleges
- 1.2k Exams
- 688k Reviews
- 1800k Answers