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Important Equations and Definitions: Electricity

Electric Current

  • Definition: The flow of electric charge is known as Electric Current. It is carried by moving electrons through a conductor.
  • Direction: By convention, electric current flows in the opposite direction to the movement of electrons.
  • Electric Circuit: A continuous and closed path of electric current.

Expression of Electric Current

  • Symbol: Electric current is denoted by the letter 'I'.
  • Formula: If a net electric charge (Q) flows through a conductor in time t, then Expression of Electric Current

S.I. Units

  • Electric Charge: Coulomb (C). 1 C=6×1018 electrons.
  • Electric Current: Ampere (A). 1 A=1 C/s.

Small Quantities

  • Milliampere (mA): 1 mA=10-3 A
  • Microampere (μA): 1 μA=10-6 A

Instruments

  • Ammeter: Measures electric current in a circuit.

AmmeterAmmeter

Electric Charge and Potential

  • Charge: Fundamental property of matter. Two types: Positive and Negative.
  • Properties of Electric Charge:
    • Unlike charges attract, like charges repel.
    • Force between charges varies with the product of charges and inversely with the square of the distance.

Electric Potential and Potential Difference

  • Electric Potential: Amount of electric potential energy at a point.
  • Potential Difference (Voltage): Difference in electric potential energy between two points.
    V=W/Q
  • S.I. Unit: Volt (V).

Instruments

  • Voltmeter: Measures potential difference.

VoltmeterVoltmeter

  • Galvanometer: Detects current in a circuit.

GalvanometerGalvanometer

Ohm's Law

  • Statement: Potential difference is directly proportional to electric current at constant temperature.
  • Ohm`s Law
  • Resistance: Property resisting electric current. Unit: Ohm (ΩΩ).

Factors Affecting Resistance

  • Nature: Good conductors vs. insulators.
  • Length:∝ l
  • Area of Cross Section: R ∝ 1/A
  • Specific Resistance (Resistivity):Factors Affecting Resistance. Unit: Ω⋅m

Combination of Resistors

Series Combination

  • Total Resistance (Rs):Rs=R1+R2+R3.

Series Combination

Parallel Combination

  • Inverse of Total Resistance
    Parallel Combination

Heating Effect of Electric Current

  • Joule's Law: H=I2Rt
  • Applications: Electric bulb, electric iron, electric heater.

Electric Power

  • Definition: Work done per unit time. P=VI.
  • S.I. Unit: Watt (W). 1 W=1 V×1 A.
  • Kilowatt: 1 kW=1000 W.

Electric Energy

  • Definition: Amount of work done to maintain continuous electric current.
  • Unit: Joule (J).

Electric Power Consumption

  • Unit: Kilowatt-hour (kWh). 1 kWh=3.6×106 J.

Conductors and Insulators

  • Conductor: Allows flow of electrons. Low opposition to current.
  • Insulator: Doesn't allow flow of electrons. High opposition to current.

Current Rating

  • Definition: Maximum current without damaging the appliance.
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FAQs on Important Equations and Definitions: Electricity

1. What is electric current and how is it measured?
Ans.Electric current is the flow of electric charge in a conductor. It is measured in amperes (A) using an ammeter. One ampere corresponds to one coulomb of charge passing through a point in a circuit per second.
2. What is the difference between electric charge and electric potential?
Ans.Electric charge is a fundamental property of matter that causes it to experience a force in an electric field, measured in coulombs (C). Electric potential, measured in volts (V), is the amount of electric potential energy per unit charge at a point in a circuit, indicating how much work would be done to move a charge from a reference point.
3. How does Ohm’s Law relate voltage, current, and resistance?
Ans.Ohm's Law states that the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor. It is expressed mathematically as V = I × R.
4. What are the different ways to combine resistors in a circuit?
Ans.Resistors can be combined in two main ways: in series and in parallel. In a series combination, the total resistance increases and is the sum of individual resistances (R_total = R1 + R2 + ...). In parallel, the total resistance decreases, calculated using the formula 1/R_total = 1/R1 + 1/R2 + ... .
5. What is the heating effect of electric current and its applications?
Ans.The heating effect of electric current, also known as Joule's heating, occurs when electric current passes through a conductor, producing heat due to resistance. This effect is utilized in various applications, such as electric heaters, toasters, and incandescent light bulbs, where heat generation is desired.
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