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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,

X_{L}=X_{C}

ωL=1/ωC

⇒ω^{2}=1/LC

⇒ω=1/√Lc

⇒ω=1/√10^{-3}x10^{-5}

⇒ω=10^{4}

We also know that,

X_{L}=ωL

⇒X_{L}=104x10-3

⇒X_{L}=10 Ω

Therefore,X_{L}=X_{C}=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 I_{rms}^{2}Rt and/or power I_{rms}^{2}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/√R^{2}/ ω^{2}L^{2}=5/√(25+(50)^{2}x (0.1)^{2})

=5/√(25+25)=1/√2

⇒φ=π/4

QUESTION: 10

Admittance is reciprocal of

Solution:

In electrical engineering, admittance is a measure of how easily a circuit or device will allow a current to flow. It is defined as the reciprocal of impedance, analogous to how conductance & resistance are defined. The SI unit of admittance is the siemens (symbol S); the older, synonymous unit is mho, and its symbol is ℧ (an upside-down uppercase omega Ω). Oliver Heaviside coined the term admittance in December 1887.

Admittance is defined as

Y=1/Z

where

Y is the admittance, measured in siemens

Z is the impedance, measured in ohms

### AC Voltage Applied to a Series LCR Circuit: Part 3

Video | 14:29 min

### AC Voltage Applied to a Series LCR Circuit: Part - 1 (Introduction)

Video | 05:38 min

### AC Voltage Applied to a Series LCR Circuit: Part 2 (Impedance)

Video | 04:01 min

### AC Voltage Applied to a Capacitor

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