Fundamental Concepts

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Electric Charge (Q)

Electric charge is a fundamental property of matter. It is measured in coulombs (C). One coulomb is a very large amount of charge - approximately 6.24 × 1018 electrons.

Electric Current (I)

Electric current is the rate of flow of electric charge. In metallic conductors, current is the flow of electrons. Current is measured in amperes (A), where 1 ampere = 1 coulomb per second.

Q = I × t
where Q = charge (C), I = current (A), t = time (s)

Voltage (V)

Voltage (or potential difference) is the energy transferred per unit charge. It is measured in volts (V).

1 Volt = 1 Joule per Coulomb
V = E / Q

A voltage of 12V means that 12 joules of energy are transferred for every coulomb of charge that flows.

Calculator: Q = It

Interactive Simulation: Electron Flow in a Circuit

Current (I = V/R): 0.12 A
Charge flow per second: 0.12 C/s

Ohm's Law and Resistance

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Resistance (R)

Resistance is a measure of how difficult it is for current to flow through a component. It is measured in ohms (Ω). The resistance of a conductor depends on its length, cross-sectional area, temperature, and the material it is made from.

Ohm's Law

Ohm's Law states that the current through a conductor is directly proportional to the voltage across it, provided the temperature remains constant.

V = I × R
where V = voltage (V), I = current (A), R = resistance (Ω)

Circuit Diagram for Investigating Ohm's Law

Battery Switch A Ammeter Resistor V Voltmeter

Practical Investigation: Testing Ohm's Law

Materials Required

  • Power supply (variable voltage)
  • Ammeter (to measure current)
  • Voltmeter (to measure voltage)
  • Resistor (fixed value, e.g., 10Ω)
  • Connecting wires
  • Switch

Method

  1. Set up the circuit as shown in the diagram above
  2. Close the switch and record the voltage across the resistor using the voltmeter
  3. Record the current through the resistor using the ammeter
  4. Increase the voltage in steps (e.g., 2V, 4V, 6V, 8V, 10V)
  5. For each voltage, record the corresponding current
  6. Plot a graph of current (y-axis) against voltage (x-axis)
  7. Calculate resistance from the gradient: R = V/I

Expected Results

The graph should be a straight line through the origin, showing that current is directly proportional to voltage. The gradient of the line equals 1/R.

I-V Characteristic Graph (Ohmic Conductor)

Current vs Voltage (I-V Graph)

Voltage (V) Current (A) 0 ΔI ΔV Gradient = ΔI / ΔV = 1/R

Voltage vs Current (V-I Graph)

Current (A) Voltage (V) 0 ΔV ΔI Gradient = ΔV / ΔI = R

Calculator: V = IR

Interactive Simulation: Ohm's Law Graph Explorer

Steeper line = Lower resistance

The graph shows I = V/R. As you change resistance, you can see how the line changes slope.

Power and Energy

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Electrical Power (P)

Power is the rate of energy transfer. In electrical circuits, power is the rate at which electrical energy is transferred. It is measured in watts (W).

P = I × V
where P = power (W), I = current (A), V = voltage (V)

One watt is equal to one joule per second (1 W = 1 J/s).

Electrical Energy (E)

The total energy transferred depends on the power and the time for which the current flows.

E = P × t = I × V × t
where E = energy (J), P = power (W), t = time (s)

Alternatively, using the relationship between energy, charge, and voltage:

E = Q × V
where E = energy (J), Q = charge (C), V = voltage (V)

Example: Electric Kettle

A kettle has a power rating of 2000 W and is used for 3 minutes. Calculate the energy transferred.

Solution:

Time = 3 minutes = 3 × 60 = 180 seconds

E = P × t = 2000 × 180 = 360,000 J = 360 kJ

Calculator: P = IV

Calculator: E = Pt and E = IVt

Calculator: E = QV

Electricity Cost Calculator

Common Appliances (Presets)

Series and Parallel Circuits

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Series Circuits

In a series circuit, components are connected end-to-end, forming a single path for current to flow.

Series Circuit Rules:
• Current is the same everywhere: Itotal = I1 = I2 = I3
• Voltage adds up: Vtotal = V1 + V2 + V3
• Resistance adds up: Rtotal = R1 + R2 + R3

Interactive Simulation: Animated Series Circuit

Rtotal: 80Ω

Current (same everywhere): 0.15 A

V1 across R1: 4.5 V

V2 across R2: 7.5 V

Series Calculator

Parallel Circuits

In a parallel circuit, components are connected across each other, forming multiple paths for current to flow.

Parallel Circuit Rules:
• Voltage is the same across each branch: Vtotal = V1 = V2 = V3
• Current splits: Itotal = I1 + I2 + I3
• Reciprocal of total resistance: 1/Rtotal = 1/R1 + 1/R2 + 1/R3

Important Note:

In parallel circuits, the total resistance is ALWAYS LESS than the smallest individual resistance. More paths for current = easier for current to flow = lower total resistance.

Interactive Simulation: Animated Parallel Circuit

Req: 20Ω

I1 through R1: 0.20 A

I2 through R2: 0.40 A

Itotal: 0.60 A

Notice: More current flows through the lower resistance path!

Parallel Calculator

Component Characteristics

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I-V Characteristics of Different Components

Different components have different current-voltage relationships. Understanding these characteristics is crucial for circuit design.

Interactive Simulation: I-V Characteristics Explorer

Ohmic Resistor: Current is directly proportional to voltage. The graph is a straight line through the origin. Resistance remains constant.

Light Dependent Resistor (LDR)

An LDR is a component whose resistance decreases as light intensity increases. They are used in automatic lighting systems and light sensors.

Interactive LDR Demonstration

Light Intensity Control

Resistance: 5000Ω

Resistance vs Light Graph

Thermistor (NTC - Negative Temperature Coefficient)

An NTC thermistor is a component whose resistance decreases as temperature increases. They are used in temperature sensors and control systems.

Interactive Thermistor Demonstration

Temperature Control

Resistance: 5000Ω

Resistance vs Temperature Graph

Light Emitting Diodes (LEDs)

LEDs are semiconductor devices that emit light when current flows through them. They have a threshold voltage (typically 0.6-0.7V) below which no current flows. LEDs are highly efficient and are used in displays, indicators, and lighting.

Important:

LEDs must be connected with the correct polarity (anode to positive, cathode to negative) and should always be used with a series resistor to limit current and prevent damage.

Knowledge Check Quiz

Test your understanding of electricity concepts with this interactive quiz!

Question 1: Calculating Charge

A current of 2 A flows for 10 seconds. What is the total charge transferred?

Question 2: Ohm's Law

A circuit has a voltage of 10 V and a current of 2 A. What is the resistance?

Question 3: Calculating Power

What is the power dissipated in a circuit with 5 A current and 12 V voltage?

Question 4: Series Circuits

In a series circuit with three bulbs, if one bulb breaks, what happens to the others?

Question 5: LDR Behavior

When an LDR is placed in the dark, what happens to its resistance?

Question 6: Units of Energy

What is the unit of electrical energy?

Question 7: Parallel Circuits

In a parallel circuit, the voltage across each branch is:

Question 8: Energy Calculation

A 2000 W kettle is used for 3 minutes. How much energy is transferred?

Question 9: Diode Behavior

A diode allows current to flow in how many directions?

Question 10: NTC Thermistor

When an NTC thermistor is heated, its resistance:

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