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# Test: AC Applied To LCR In Series

## 10 Questions MCQ Test Physics For JEE | Test: AC Applied To LCR In Series

Description
This mock test of Test: AC Applied To LCR In Series for JEE helps you for every JEE entrance exam. This contains 10 Multiple Choice Questions for JEE Test: AC Applied To LCR In Series (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: AC Applied To LCR In Series quiz give you a good mix of easy questions and tough questions. JEE students definitely take this Test: AC Applied To LCR In Series exercise for a better result in the exam. You can find other Test: AC Applied To LCR In Series extra questions, long questions & short questions for JEE on EduRev as well by searching above.
QUESTION: 1

### In a capacitance dominated RLC circuit

Solution:

In a series RLC circuit there becomes a frequency point were the inductive reactance of the inductor becomes equal in value to the capacitive reactance of the capacitor. In other words, XL = XC.
Series Resonance circuits are one of the most important circuits used electrical and electronic circuits.

QUESTION: 2

### In an RLC circuit, which of the following is always used as a vector reference?

Solution:

In an RLC circuit, the voltage is always used as a reference and according to the phase of the voltage, the phase of the other parameters is decided.

QUESTION: 3

### A 1.0 mH inductance, a10μF capacitance and a 5.0 ohm resistance are connected series to an a.c. source. It is found that inductor and the capacitor show equal reactance. The reactance should be nearest to:​

Solution:

From the formula we get,
XL=XC
ωL=1/ωC
⇒ω2=1/LC
⇒ω=1/√Lc
⇒ω=1/√10-3x10-5
⇒ω=104
We also know that,
XL=ωL
⇒XL=104x10-3
⇒XL=10 Ω
Therefore,XL=XC=10Ω

QUESTION: 4

In which of the following cases the power factor is not equal to 1​

Solution:
QUESTION: 5

What is the inductance of a choke required for a lamp running at 60 volt d.c consuming 5 A current connected to 110 volt, 50 Hz ac mains?

Solution:
QUESTION: 6

Ac and dc both can be measured by

Solution:

Hotwire instruments are based on the heat Irms2​Rt and/or power Irms2​R producing property of current. Hence it can measure both ac and dc current as both produce heat when passed through a conductor.

QUESTION: 7

What is the value of power factor in RLC circuit

Solution:
QUESTION: 8

In a series LCR what will be phase difference between voltage drop across inductor and capacitor

Solution:

Let’s keep this simple and to the point. We know that:
1.in a series circuit the same current flows through each component
2.the voltage across an ideal inductor L is 90˚ ahead of an AC current through it
3.the voltage across an ideal capacitor C is 90˚ behind an AC current through it
So putting these facts together we can conclude that given an AC series current the voltages across any L and C must have a phase difference of 180˚

QUESTION: 9

A resistance of 5 ohm and an inductance of 50 mH are connected in series with an a. c. I = 100 sin (100 t). What is the phase difference between the instantaneous current and voltage?​

Solution:

Cosφ=R/Z=R/√R2/ ω2L2=5/√(25+(50)2x (0.1)2)
=5/√(25+25)=1/√2
⇒φ=π/4

QUESTION: 10