NEET Study Notes for Current Electricity- Electric Current is defined as the rate of charge flow through any cross-section. The direction of the movement of the positive charge is considered as the direction of the electric current. It is a scalar quantity and the S.I Unit is Ampere. Some of the important topics from this section include Flow of Electric Current, Resistance, Kircchoffs Law, Potentiometer.
Quick Links:
Topics | Sub Topics |
---|---|
Current Electricity |
|
Electric Current is defined as the flow of charge through a cross-section. This can be defined mathematically as:
\(I=\frac{dq}{dt}\)
Electric Current Flow in metal is due to flow of charged particles. In a metallic conductor, current flows due to ions or other charged particles that are freely available for movement through the conductor.
We know that I= Q/T
Where I =current, Q-charge and T= time
In a metallic conductor, protons are bounded and so we can conclude that the freely available charged particles that remain are electron. Therefore electric current through metallic conductor is due to the movement of electrons. .
Must Read : NEET Study Notes for Work, Energy, and Power
When two ends of a conductor are connected to terminals of a battery, an electric field from positive terminal to negative terminal is built up in the conductor, The free electrons et accelerated due to as they experience a force opposite to the electric field direction. However, the collision with ions of solid interrupts this process of acceleration. The average time during which electron is accelerated is called mean free time or mean relaxation time.
These free electrons acquire a small velocity towards the positive end of conductor, in addition to its random motion. This velocity is Drift Velocity
\(v_d=-\frac{e E_\tau}{m}\)
Where, e- charge
m= mass of electron
E= electric field established in the conductor and average relaxation time
The negative sign is because of the directions of and for electrons are opposite.
\(E=\frac{V}{l}\)
It is defined as drift velocity per unit electric field. Mobility is denoted by µ.
\(\mu=\frac{V_d}{E}\)
S.I Unit- m2/volt-sec
When potential difference is applied across the ends of a conductor, current( I) is set in the conductor. Ohms Law states that “ Keeping the given physical conditions such as temperature, mechanical strain, etc constant, the current (I) is produced in the conductor is directly proportional to the potential difference (V) applied across the conductor
.e., \(I∝V\) or I=KV ... (1)
Where, K is a constant of proportionality (conductance)
Alternatively V= RI ... (2)
Where constant R is called resistance
Thus from the two equations above, R= 1/K
Ohmic (Linear Conductor)- if a substance adheres to Ohm’s law, then a linear relationship between V and I is established. Such substances are known as ohmic substances.
Non-Ohmic (Non-linear conductor)- Substances that do not follow Ohm’s law are known as non ohmic substances. Some examples of non-ohmic conductors are Diode valve, triode valve, electrolyte, thermistors.
V-I slope of a conductor provides resistance
slope=tanθ= V/1
S.I. Unit of resistance R is volt/ampere = ohm (Ω)
When Potential difference is applied across the ends of the conductor, free e-s flows towards the positive end of the conductor. While flowing , they collide with ions/atoms which obstructs their motion. This net obstruction by the conductor to the flow of current is called resistance. This depends upon the size, geometry, temperature and nature of the conductor.
In a given conductor with uniform cross-section A and length l , resistance R is directly proportional to length l and inversely proportional to cross-sectional area A
i.e., \(R∝\frac{l}{a}\) or \(R=\frac{\rho l}{a}\) or \(\rho=\frac{RA}{l}\)
where p is called specific resistance or electrical resistivity
Also,
S.I. unit of resistivity = Ohm (Ω)
It can be defined as the reciprocal of resistivity
i.e. \(\sigma=\frac{1}{\rho}\)
S.I unit of conductivity Ohm-1m-1 or mho/m
Metals like nichrome, brass, platinum, and tungsten and alloys are used to produce resistance. Since most of these metals have low electrical resistance in comparison to carbon resistors, producing high resistance is difficult as it will make the resistor bulky.
We know that resistance is directly proportional to the product of length and resistivity of the resistor.
Resistance α( length×resistivity)
Carbon resistors produce a high accuracy value of resistance, thus they are mostly used to calibrate the resistance. Other advantages of carbon resistors are cost efficient, compact . Thus carbon resistors are preferable than metal wires. Carbon resistors are also available in large quantities.
Also Read
This helps in indicating the value of resistors by a system of color-coding. For a fixed moulded composition resistor, four-color bands are printed on one end of the outer casing. This can be demonstrated below:
In order to read color bands, read left to right from end that contains bands closest to it.
The standard value of color codes for carbon resistors is tabulated below:
Color | Digit | Multiplier | Tolerance |
Black | 0 | 100 | |
Brown | 1 | 101 | |
Red | 2 | 102 | |
Orange | 3 | 103 | |
Yellow | 4 | 104 | |
Green | 5 | 105 | |
Blue | 6 | 106 | |
Violet | 7 | 107 | |
Grey | 8 | 108 | |
White | 9 | 108 | |
Gold | - | 0.1 | ±5% |
Silver | - | 0.01 | ±10% |
No color | - | - | ±20% |
Check NEET 2022 Exam Pattern
When resistances are joined end to end in such a way that current flows through each resistor and potential difference is applied across the combination, the conductor is said to be connected in series.
Here, the equivalent resistance
(Req)s= R1+R2+...+Rn
wherein the equivalent resistance of same resistance connected in a series is greater than the greatest individual resistance.
Potential division rule in series combination-
\(V_1 = \frac{V R_1}{R_1 + R_2} ;\)
\(V_2 = \frac{V R_2}{R_1 + R_2}\)
The resistors are said to be connected in parallel, if the potential difference that exists across all resistors is the same. Here the equivalent resistance is
Equivalent resistance in a parallel combination is always less than the least individual resistance.
\(\frac{1}{(R_eq)_p}=\frac{1}{R_1}+\frac{1}{R_2}+....+\frac{1}{R_n}\)
Current division rule in parallel combination
\(I_1 = \frac{I R_2}{R_1+R_2}\) ; \(I_2 = \frac{I R_1}{R_1+R_2}\)
In order to determine whether the resistance, in a combination of resistor is in series or parallel then observe the current flow and potential difference. If the same current flows through two series then it is series, whereas if the potential difference is same then resistance is said to be in parallel. The potential difference across combinations of resistors is the same and equal to the applied potential difference.
Read: NEET Study Notes for Planar Motion
Electromagnetic force is defined as the energy supplied a battery/cell per coulomb (Q) of charge passing through it. When there is no current flowing through the circuit, the magnitude of emf is equal to the potential difference (V) across the cell terminals.
e= E/Q
Where e= emf or emf (V), W=energy (Joules), Q= charge ( Coulombs. Emf as well and the potential difference is measured in terms of V (Volts)
Example: What is the potential difference in a cell when it is connected to a 9 ohm load with cell emf = 2 volts and internal resistance is 1 ohm?
Answer: Given emf=2
External resistance= 9 ohm
Internal resistance= 1 ohm
We know, that R = External resistance + Internal resistance
Therefore 9+1= 10 ohm
Since I= V/r
I= 2/10 = 0.2 Ampere
Now, e = V + Ir
V= 2-0.2
2= V+ (0.2)1
V= 1.8 Volts
Cells can be connected either in series, parallel or a combination of both.
In a series combination of cells
EAB = E1 + E2 + ... + En
where E= overall emf of the battery
Also, equivalent internal resistance of the cell is RAB = r1 + r2 + ....... + rn
In parallel combination of cells, equivalent emf
Wherein the equivalent internal resistance is
Gustav Kirchhoff, a German physicist developed two laws commonly known as Kirchhoff’s voltage and current law/ These help in the calculation of electrical resistance in a complex network and current flow in a network of different streams.
According to Kirchhoff's current law, the total current entering the junction must be equal to the current leaving it. Thus the current entering and leaving junction has to be null. This can be expressed as
I1+I2+I3-I4-I5= 0
Check NEET Preparation Books
According to Kirchoff's Voltage Law, the voltage around a loop is equal to the sum of every voltage drop in the close network of the same loop and equals to zero.
Kirchoff’s Laws can be used to find:
Potentiometer is defined as a three-terminal resistor that has either sliding or rotating contract that forms an adjustable voltage divider.
The working of potentiometer depends on the potential across any portion of wire that is directly proportional to the length of wire where cross sectional area is uniform and current flow is constant
V= IR
where V= voltage
R= total resistance
I= current
Question: What is not based on the heating effect of current?
Answer: Microwave
Microwave oven uses microwaves. In this case, the commonly used radio wave frequency is close to 2,500 megahertz. While electric heater, iron, and electric wave work on the principle of the Joule heating effect, These electric devices convert electric current into heat.
Question: What is not a conductor of electricity?
Answer: Distilled water
Most of the liquids that are good conductors of electricity are solutions made of acid, bases and salts. Distilled water is free of salts and thus it is a poor conductor of electricity.
Question: What are superconductors?
Answer: offer no resistance to the flow of current
Superconductors are conductors that have zero resistance at very low temperatures. This enables electricity to flow through them rapidly. An example of a superconductor is Mercury and lead. Mercury below 4.2 Kelvin, Lead below 7.25 Kelvin to act like superconductors
Question: What is the work done in moving a unit charge between two points in an electric circuit?
Answer: Potential
Potential or Electric Potential is defined as the work done in moving a unit charge between two points in the electric circuit. Measured in volts, it depends upon the charge of the object that experiences an electric field.
Question: In which of the following fields of science, Kirchhoff's laws are applicable?
Answer: Electrical Circuits
Kirchhoff's laws are applicable to electrical circuits. Kirchhoff's loop rule also referred to as the voltage law or second law explains that the sum of all potential differences nearby a loop is zero. This is so since energy cannot enter or leave a closed circuit.
Question. What is Kirchhoff's law a consequence of?
Answer: Conservation of electric charge
Kirchhoffs Junction Law (also referred to as Kirchhoff's First Law) is a consequence of electrical charge as it states that the total current that enters through a junction is equal to the current out of the junction.
Quick Links:
*The article might have information for the previous academic years, please refer the official website of the exam.