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The National Eligibility Cum Entrance Test (NEET) Paper has questions from Physics, Chemistry and Biology. The weight of Physics is 25% of total marks. As NEET is highly competitive, each subject is important. Most of the NEET students find Physics difficult. But enough practice and clarity in concepts can make Physics easy for students. Each chapter of the Physics syllabus for NEET is important. Here is the analysis of the Class 12 chapter Alternating Current and explanations on concepts and questions of the topic, Alternating Current, the LCR circuits.
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In the last six years' paper of NEET there were 8 questions from AC circuits and out of these five questions were associated with the series LCR circuit. There were two questions from AC circuits in NEET 2021 in which one question was of LCR series circuit and another a combination of the concept of LCR circuit and series resonance. It shows that AC circuits and the concepts of LCR series circuits are important for NEET examination. JEE Main also has a number of questions from the LCR circuits. Let us have a look at the LCR series circuit.
R, L and C are connected in series across an ac voltage source. The current may lead or lag the voltage depending on the values of resistance and inductive and capacitive reactance by some angle ɸ. The calculation of ɸ is discussed later.
Applying Kirchoff's voltage Law to the given RLC series circuit we get
The equation of damped or forced oscillator(Studied in the chapter, Oscillation of Class 11) is
Comparing (1) and (2) the inductance L is analogous to mass m, resistance R is analogous to frictional coefficient B and capacitance is analogous to the 1/K where K is the spring constant.
Force Voltage Analogy
Mechanical Quantity | Electrical Quantity |
Force | Voltage |
Velocity | Current |
Displacement | Charge |
frictional coefficient | Resistance |
Mass | Inductance |
Spring constant | 1/Capacitance |
Question (JEE Main 2020)
A LCR circuit behaves like a damped harmonic oscillator. Comparing it with a physical spring-mass damped oscillator having damping constant 'b', the correct equivalence would be?
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Option c) is the right answer.
Phasor diagram for VL>VC
Phasor diagram for VC>VL
ɸ is the phase difference(angle between the resultant voltage and the current)
Question (JEE Main 2014)
When the RMS voltages VL, VC and VR are measured respectively across the inductor L, the capacitor C and the resistor R in a series LCR circuit connected to an AC source, it is found that the ratio VL: VC: VR = 1:2:3. If the RMS voltage of the AC source is 100 V, then VR (in V) is close to
Solution:
From the given ratio
As XL=⍵L and XC=1/(⍵C), the impedance can be calculated as
From the impedance triangle the angle phi can be calculated using trigonometric functions.
That is cosɸ=R/Z and cosɸ is known as the power factor.
Question(JEE Main 2017)
A sinusoidal voltage of peak value 283 V and angular frequency (⍵) as 320 rad/s is applied to a series LCR circuit. Given that R=5 Ω, L=25 mH and C=1000 µF. The total impedance and phase difference between the voltage across the source and the current will be:
Solution:
Impedance
The phase difference between the voltage across the source and the current
Instantaneous Power
It is the product of instantaneous voltage and current. That is:
Using the trigonometric relation
Average Power
Voltage and current are not constant in an AC circuit, they change with respect to time. So power also changes. So the average power over a period T is
Where vi is the instantaneous power
Where cosɸ is known as the power factor.
Average power is measured in Watts. Average power is also known as active power or true power.
Also, average power can be written as
Apparent power is measured in VA(Volt Ampere)
The power factor cosɸ can be calculated as-
Cosɸ can also be calculated from impedance triangle. Refer to the impedance triangle discussed above.
Reactive power is measured in VAr (Volt Ampere reactive)
From the power triangle ɸ can be computed using different trigonometric ratios.
cosɸ=Active Power/Apparent Power
sinɸ=Reactive Power/Apparent Power
tanɸ=Reactive Power/ Active Power
For a purely resistive circuit the instantaneous current is in phase with the instantaneous voltage. That is for VS=Vmsinωt, the current I=Imsinωt.
For a purely inductive circuit, the instantaneous voltage leads the current by 900. That is if VS=Vmsinωt, I=Imsin(ωt-?/2)
For a purely capacitive circuit, the instantaneous voltage lags the current by 900. That is if VS=Vmsinωt, IS=Imsin(ωt+?/2)
For a series RLC circuit if source voltage VS=Vmsinωt, IS=Imsin(ωt-ɸ) and the value of ɸ may be positive or negative depending on the value of inductive and capacitive reactance. If XL>XC, the current lags behind the voltage. If XC>XL current leads to the voltage.
Question: (JEE Main 2019)
An alternating voltage V(t)=220sin100?t volt is applied to a purely resistive load of 50Ω. The time taken for the current to rise from half of the peak value to the peak value is:
Solution-
I0/2=I0sinωt
I0/2I0=sinωt
½=sinωt
ωt=?/6
Given ω=100?
100?t=?/6, therefore t=1/600 or =1..67milli seconds. This is the time to reach half the peak value from zero.
Peak value occurs at ωt=?/2. So time taken to reach peak value from zero=1/200=5milli seconds.
The time taken from half of the peak to the peak value=5-1.67=3.3milli seconds
Resonance is the characteristic of the RLC series circuit. Resonance occurs when the value of capacitive and inductive reactance are equal(XC=XL). The frequency at which XC=XL is known as resonant frequency ⍵0. At ⍵0, XC-XL=0, impedance becomes minimum and current I become maximum and Imax=Vmax/R. And the value of resonant frequency is-
And the power factor at resonance=1
The curve represents the variation of current amplitude with respect to frequency.
The sharpness of resonance is measured by the quality factor Q.
Q=⍵0L/R. Also
Q=1/(⍵0RC)
As Q increases the sharpness also increases. From the frequency response, we can say that the Q factor of (i) is greater than the Q factor of (ii) as the sharpness of the first curve is more.
Suppose we choose a frequency other than ⍵0 such that the current magnitude is 1/√2 times the maximum value or power dissipated by the circuit is half of maximum value. There will be two such frequencies for which the current magnitude is 1/√2 times the maximum value, ⍵1<⍵0 and ⍵2>⍵0. The magnitude of ⍵0-⍵1=⍵2-⍵0 =?⍵. Here ⍵1 and ⍵2 are half power frequencies.
The difference ⍵2-⍵1 = 2?⍵ is known as the bandwidth and bandwidth 2?⍵= R/L. Therefore Q=⍵0L/R =⍵0/2?⍵=⍵0/(⍵2-⍵1)
NEET 2016
An inductor 20 mH, a capacitor 50 ?F and a resistor 40 Ω are connected in series across a source of emf V = 10 sin 340 t. The power loss in the A.C circuit-
Solution
Power loss in the circuit is asked. We have to find the average power.
Given Vm=10, ⍵=340. To find the average power we need to find Im and cosɸ
NEET 2018
An inductor 20 mH, a capacitor 100 ?F and a resistor 50 Ω are connected in series across a source of emf V = 10 sin 314 t. The power loss in the circuit is
Solution: 0.79W
This question is similar to the NEET 2016 question and the values only differ. Try to solve it yourself.
NEET 2021
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 the figure.
The potential difference across L, C and R is 40 V, 10V and 40V, respectively. The amplitude of the current flowing through the LCR series circuit is 10√2 A. The impedance of the circuit is-
Solution:
Z=Vrms / Irms
NEET 2020
A series of LCR circuits is connected to an ac voltage source. When L is removed from the circuit, the phase difference between current and voltage is ?/3 If instead C is removed from the circuit, the phase difference is again ?/3 between current and voltage. The power factor of the circuit is
Solution:
NEET 2021
A series LCR circuit containing 5.0 H inductor 80 capacitor ?F and 40Ω resistor is connected to a 230 V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:
(1) 25 rad/s and 75 rad/s (2) 50 rad/s and 25 rad/s (3) 46 rad/s and 54 rad/s (4) 42 rad/s and 58 rad/s
Solution:
Power =Po/2 for half power frequencies. 2?⍵ the Bandwidth of resonance curve= R/L
So at 46 rad/s and 54 rad/s P=P0/2
So option (3) 46 rad/s and 54 rad/s is right
A series LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistance, an inductor of inductive reactance and an unknown capacitor. Find the value of capacitance to maximize the average power
In a series LCR circuit, the inductive reactance (XL) is 10and the capacitive reactance (XC) is 4. The resistance (R) in the circuit is 6. What is the power factor of the circuit?
An AC circuit has and L = 800 mH, connected in series. Find the quality factor of the circuit.
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From your profile it is clear that you are asking about pharmacy admission through neet so,yes there are some colleges in India which considers NEET score for admission to pharmacy programs.
Other than NEET some state colleges use their own entrance exam like MHT CET, CUET, AP EAMCET, TS EAMCET, KCET, KEAM, and Graduate Pharmacy Aptitude Test (GPAT) for pharmacy.
If you are not satisfied with answer ask again i will try to help you better..
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If your daughter is currently studying in a CBSE affiliated school in Qatar and has been living abroad for the past few years, she will likely qualify for an NRI seat when applying for NEET, as she meets the criteria of being an Indian citizen residing abroad and completing her 10th and 12th education from a foreign country.
NRI students can apply NEET UG under NRI category. Your daughter will be applying for seats under AIQ quota i.e 15% seats only .some states dont give reservation to NRI like Karnataka but some states like gujarat has NRI reservation.while considering colleges check specific eligibility criteria of the medical colleges you are applying to, as there may be minor variations in their NRI admission policies.
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There is no other major government examination in India that overlaps with the NEET syllabus to provide similar careers in the medical field. NEET is, however the gateway to medical and dental colleges in the country.
In case you wish to pursue other fields of science, here are your options:
1. Engineering:
JEE Main: This examination offers entry to engineering colleges, providing a vast number of courses in engineering.
2. Other Related Health Sciences:
B.Sc Nursing: Eligibility criteria differ for this course, such as Physics, Chemistry, Biology, and English
B.Pharm: This could be pursued after 12th with PCB
B.Sc Biotechnology, Microbiology, Biochemistry, etc: These are courses one takes if a person interested in the life sciences and other related studies.
Note:
Eligibility: Remember that eligibility criteria differ for courses and universities.
Entrance Exams: Prepare for entrance exams that are related to NEET, JEE Main, or whichever the university-specific tests may be.
Guidance Counseling: Participate in the process of counseling to get a seat in the preferred college and course.
If you hold an ardent passion for a career in the healthcare sector, keep researching and consider the following options like research or pharmaceutical industry or public health.
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An oncologist is a specialised doctor responsible for providing medical care to patients diagnosed with cancer. He or she uses several therapies to control the cancer and its effect on the human body such as chemotherapy, immunotherapy, radiation therapy and biopsy. An oncologist designs a treatment plan based on a pathology report after diagnosing the type of cancer and where it is spreading inside the body.
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A Narcotics Officer is an officer employed by the state to investigate the usage of drugs and their trafficking. A narcotics officer conducts undercover operations, investigates suspected drug dealers, executes raids and other appropriate actions for arresting these traffickers to reduce the circulation of drugs in the country.
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