Physics Chapter: Electrostatics and Inductance

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Questions and Answers

What is the charge on an electron?

  • +1.6 × 10–19
  • 1 × 10–19
  • -1.6 × 10–19 (correct)

What is the unit of charge in the SI system?

  • Farad
  • Volt
  • Ampere
  • Coulomb (correct)

Which of the following represents Coulomb's law?

  • $F = k \frac{q_1 q_2}{r^2}$ (correct)
  • $F = k \frac{q_1 q_2}{r}$
  • $F = k \frac{q_1 q_2}{r^3}$
  • $F = k \frac{q_1 + q_2}{r}$

What is the value of the constant K in Coulomb's law?

<p>9 × 10^9 (D)</p> Signup and view all the answers

What is the relationship between the electrostatic unit (esu) and the electromagnetic unit (emu) of charge?

<p>1 esu = 3 × 10^9 emu (B)</p> Signup and view all the answers

What is the formula for calculating the total inductance (LAB) of three inductors connected in series?

<p>LAB = L1 + L2 + L3 (C)</p> Signup and view all the answers

What is the value of F, in Farads?

<p>1e-6 F (C)</p> Signup and view all the answers

What is the relationship between inductance (L) and capacitance (C) in the given context?

<p>There is no relationship between L and C in the context. (D)</p> Signup and view all the answers

What is the correct formula for calculating the reciprocal of the inductance of an inductor in series with another inductor?

<p>1 / (L1 + L2) (A)</p> Signup and view all the answers

What is the unit of measurement for inductance?

<p>Henry (H) (B)</p> Signup and view all the answers

What is the power of an electric iron that has a voltage of 230V and a current of 10A?

<p>2300 W (C)</p> Signup and view all the answers

Which material is commonly used as a heating element in a toaster?

<p>Nichrome (D)</p> Signup and view all the answers

Which of the following is NOT an insulator?

<p>Iron (A), Copper (C), Silver (D)</p> Signup and view all the answers

Which of the following is used to control the temperature of an electric iron?

<p>Thermistor (D)</p> Signup and view all the answers

What is the EMF of a battery connected to a 20Ω resistor that produces a current of 0.75A?

<p>15 V (A)</p> Signup and view all the answers

What is the relationship between the temperature of a heating element and its resistance?

<p>As temperature increases, resistance increases. (B)</p> Signup and view all the answers

Which of the following is NOT a characteristic of a good heating element?

<p>High conductivity (C)</p> Signup and view all the answers

What is the main component of a bimetallic strip?

<p>Two different metals with different coefficients of thermal expansion. (B)</p> Signup and view all the answers

What is the unit of electric current in the SI system?

<p>Ampere (B)</p> Signup and view all the answers

What is the unit of capacitance in the SI system?

<p>Farad (A)</p> Signup and view all the answers

What is the unit of magnetic field strength in the SI system?

<p>Tesla (C)</p> Signup and view all the answers

Which of the following is the symbol for electric current?

<p>I (D)</p> Signup and view all the answers

What is the SI unit of electromotive force?

<p>Volt (A)</p> Signup and view all the answers

Which of the following is the symbol for potential difference or voltage?

<p>V (A)</p> Signup and view all the answers

Which of the following is the symbol for resistance?

<p>R (D)</p> Signup and view all the answers

What value is displayed by the voltmeter in the given picture?

<p>1 Volt (D)</p> Signup and view all the answers

Which of the following units is equivalent to 1 kilowatt-hour?

<p>36 * 10<sup>5 </sup>Joules (D)</p> Signup and view all the answers

Which of the following is the symbol for capacitance?

<p>C (A)</p> Signup and view all the answers

Calculate the current flowing through the circuit, in Amps, given a voltage of 100V and an impedance of 10 ohms.

<p>10 A (C)</p> Signup and view all the answers

What is the correct formula for calculating power?

<p>Power = Voltage * Current (B)</p> Signup and view all the answers

Which of the following represents the unit of electric current density?

<p>A/m^2 (B)</p> Signup and view all the answers

Identify the component used for heating in an electric kettle.

<p>Concealed wire in metal tube (D)</p> Signup and view all the answers

What is the value of 1 kilowatt-hour (kWh) in watt-seconds?

<p>36 * 10<sup>6 </sup>watt-seconds (D)</p> Signup and view all the answers

What is the unit of impedance, as used in the context of the 100V, 50Hz circuit mentioned?

<p>Ohms (A)</p> Signup and view all the answers

Which of the following is the formula for calculating the potential difference across a resistor?

<p>Voltage = Current * Resistance (B)</p> Signup and view all the answers

What is the unit of power?

<p>Watts (C)</p> Signup and view all the answers

Which of the following is a common application of the voltage divider rule, as demonstrated in the circuit diagram?

<p>Measuring the voltage across a specific component in a series circuit (C)</p> Signup and view all the answers

What is the correct formula for calculating resistance?

<p>Resistance = Voltage / Current (B)</p> Signup and view all the answers

What is the correct formula for calculating the current flowing through a circuit?

<p>Current = Voltage / Resistance (A)</p> Signup and view all the answers

Flashcards

Charge (Q)

A property of matter that causes it to experience a force in an electromagnetic field.

Coulomb's Law

A law stating that the force between two charges is proportional to the product of their charges and inversely proportional to the square of the distance between them.

Coulomb (C)

The SI unit of electric charge, defined as the amount of charge transported by a constant current of one ampere in one second.

Free Electrons

Electrons that are not bound to an atom and can move freely within a material, contributing to electrical conduction.

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K (Coulomb's constant)

A constant used in Coulomb's Law to calculate the force between two charges, equal to 9 × 10^9 N·m²/C².

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Capacitance (F)

Capacitance is the ability of a system to store charge per voltage and is measured in farads (F).

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1 Farad (F)

1 F equals the capacitance of a capacitor that stores 1 coulomb of charge at 1 volt.

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Capacitance formula

The total capacitance (C) for capacitors in series is given by the equation 1/C_total = 1/C1 + 1/C2 + 1/C3.

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C/V relationship

The capacitance value indicates how much charge a capacitor can store per unit voltage (C/volt).

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Total capacitance (LAB)

For combined capacitors in an arrangement, total capacitance LAB = L1 + L2 + L3 for parallel configurations.

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Electric Power (P)

The rate at which electrical energy is transferred, expressed in watts (W). P = VI

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Insulator

A material that does not conduct electricity well, like plastic.

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Heating Element in Toaster

The component that generates heat, typically made of nichrome wire.

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Bimetallic Strip

A device used in temperature control, made of two different metals that expand differently when heated.

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Thermistor

A type of resistor whose resistance changes with temperature, often used in devices for temperature sensing.

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Resistance (R)

The opposition to the flow of electric current, measured in ohms (Ω).

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Ohm's Law

The relationship between voltage (V), current (I), and resistance (R): V = IR.

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EMF (Electromotive Force)

The voltage developed by a battery or cell under load, driving current through a circuit.

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Safe Operation Temperature

The temperature range within which electrical components operate safely without damage.

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Electromotive Force (e.m.f.)

The energy provided by a cell or battery per coulomb of charge, measured in volts.

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SI Unit of Electromotive Force

The standard unit for electromotive force is the Volt (V).

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Impedance (Z)

The total resistance to the flow of current in an AC circuit, measured in ohms.

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Current (I)

The flow of electric charge measured in Amperes (A).

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Electrical Heating Unit

The device used for heating such as an electric kettle, typically relying on resistive heating.

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Frequency (Hz)

The number of cycles per second in an electrical signal, measured in Hertz (Hz).

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Voltage (V) in Circuits

The electrical potential difference between two points in a circuit, providing energy to move charge.

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BIS

Bureau of Indian Standards, the national standards body of India.

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Class of Fire D

Class D fires involve combustible metals such as magnesium or sodium.

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Capacitance

The ability of a system to store an electrical charge, measured in farads (F).

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Dielectrics

Insulating materials that do not conduct electricity but can store electric energy.

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Ampere per square meter (A/m²)

Unit of current density, measuring current flow per unit area.

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Phase

Stage in the process of matter, particularly in relation to electric circuit behavior.

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Current Density

The amount of electric current flowing per unit area of a conductor.

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S.I. Unit

Standard International Unit, which is the modern metric system of measurement.

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KWH Definition

A unit of energy equivalent to 1000 watt-hours.

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1 KWH in Joules

1 KWH is equal to 36 × 10^5 Joules.

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Watt-hour

A unit of energy representing one watt of power used for one hour.

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Energy in Joules

Energy can be expressed in Joules, like 3.6 × 10^5 J.

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AC vs DC

Alternating Current (AC) and Direct Current (DC) describe two types of electrical current flow.

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Energy Conversion

Conversion between different energy units, like KWH to Joules.

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Power Equation

Power is energy divided by time, often measured in watts.

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Thermal Energy Example

Example given in the content includes energy values like 36 × 10^5 J.

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Study Notes

Basic of Electricity

  • Atoms are the smallest unit of a substance that participates in chemical reactions.
  • Atoms consist of protons, neutrons, and electrons.
  • Protons have a positive charge (+1.6 × 10⁻¹⁹ Coulombs).
  • Electrons have a negative charge (-1.6 × 10⁻¹⁹ Coulombs).
  • Neutrons have no charge.
  • Free electrons are electrons in the outermost shell of most metals. These are more loosely bound to the nucleus than other electrons.
  • Free electrons enable charge to move through the conductor.
  • Current, in metals, flows due to free electrons whereas in ionic solutions like electrolytes, it flows through the ions.

Charge

  • Charge is a property of matter which causes a substance to experience electrostatic attraction or repulsion.
  • The S.I. unit of charge is the Coulomb (C).
  • Charge can be positive or negative.

Coulomb's Law

  • The electrostatic force between two charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
  • F=k (q₁ q₂)/r²
  • k is Coulomb's constant (approximately 9 × 10⁹ N⋅m²/C²).
  • q₁ and q₂ are the magnitudes of the charges in Coulombs.
  • r is the distance between the charges in meters.

Charge Density

  • Linear charge density (λ): charge per unit length (C/m)
  • Surface charge density (σ): charge per unit area (C/m²)
  • Volume charge density (ρ): charge per unit volume (C/m³)

Electric Field

  • An electric field is the region around a charge where another charge experiences a force.
  • E = F/q
  • The S.I. unit of electric field intensity is N/C (Newton per Coulomb).

Electric Potential

  • Electric potential is the work done per unit charge in bringing a unit positive charge from infinity to a point in the electric field.
  • V = W/q
  • The S.I. unit of electric potential is Joules per Coulomb (or Volt).

Electric Current

  • Electric current is the rate of flow of charge.
  • I = Q/t, where I is current, Q is charge, and t is time.
  • The S.I. unit of current is the Ampere (C/s).

Resistance

  • Resistance is a measure of how difficult it is for current to flow through a material.
  • R = V/I
  • The S.I. unit of resistance is the Ohm (Ω).

Ohm's Law

  • In a conductor, the current that flows is directly proportional to the voltage and inversely proportional to the value of resistance.
  • I =V/R
  • The law is applicable to a resistor (conductor with a consistently proportional current-voltage relationship).

Effects of Electric Current

  • Heating effect: The conversion of electrical energy into heat when current flows through a conductor. This is Joule's effect( H = I²Rt )
  • Magnetic effect: The creation of a magnetic field around a current-carrying conductor. This is used in motors and generators.
  • Chemical effect: The decomposition of certain chemical compounds when an electric current passes through them (Electrolysis). This is used in electroplating.

Combinations of Resistances

  • Series: Resistances are connected end-to-end, resulting in an increased total resistance (Req=R1+R2+R3+...)

  • Parallel: Resistances are connected across each other, resulting in a decreased total resistance (1/Req = 1/R1 + 1/R2 + 1/R3+...)

Combinations of Capacitors

  • Series: Capacitors are connected end-to-end, resulting in a decreased total capacitance (1/Ceq = 1/C1 + 1/C2 + 1/C3 +...)

  • Parallel: Capacitors are connected across each other, resulting in an increased total capacitance (Ceq = C1+C2+C3+...).

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