Electric circuits - series and parallel circuits

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Middle School Physics

Electric Circuits

Electric circuits diagram

Let's think about this morning. You get up, the alarm goes off, you turn on the light, charge your phone, and maybe heat breakfast. Everything is possible because of electric circuits that are working behind the scenes. For most of us, these circuits are used without thinking. So what is an electric circuit? Let's break it down.

What Is an Electric Circuit?

An electric circuit is a complete and closed path through which electrical current can flow. When an electric circuit is open, meaning that the path is broken anywhere, the current stops, and the circuit will not work. Think about it like this — think about water flow. If the water pipe is broken, it will not flow.

Every working circuit requires at least three parts:

  • A source of electrical energy (like a battery)
  • A conducting path (like wires)
  • An element that uses the energy (like a lightbulb or a motor)

Electric Current

Electric current is the flow of electric charge through a conductor. In most circuits, tiny particles called electrons carry this charge. They move through metal wires because metals have free electrons that can move easily.

Unit of measurement: amperes (A), usually shortened as amps.

Measured with an ammeter (connected in series).

I = Q ÷ t

I = current (A), Q = charge (coulombs, C), t = time (seconds)

Voltage (Potential Difference)

Voltage is the amount of energy supplied to each unit of charge by the battery, or the energy given up by each unit of charge as it passes through a circuit component. Think of voltage as the energy source that pushes the current around the circuit.

Unit of measurement: volts (V)

Measured with a voltmeter (connected in parallel).

V = W ÷ Q

V = voltage (V), W = work done/energy (J), Q = charge (C)

Resistance

Resistance is the opposition to the flow of current in a conductor.

  • A long wire has more resistance than a short wire
  • A thin wire has more resistance than a thick wire
  • Higher temperature generally means greater resistance

Unit of measurement: Ohms (Ω)

Measured with an ohmmeter.

Ohm's Law

V = I × R

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

Georg Ohm established that for a metal conductor at constant temperature, the current through it is directly proportional to the voltage across it.

If voltage increases, current increases. If resistance increases, current decreases.

Ohmic conductors: Plain resistors (follow Ohm's Law)

Non-ohmic conductors: Light bulbs (resistance changes with temperature), diodes (do not follow the rule)

Series Circuits

In series circuits, all elements are connected in a single circle, forming just one path for current to flow.

Series Circuit Rules:

  • Current is the same through all components
  • If any part is disconnected, the entire circuit stops
  • Each component uses a part of the total voltage
  • Total resistance = sum of individual resistances

R_total = R₁ + R₂ + R₃

Example: Old Christmas lights — a single blown bulb would cause the entire string to go out.

Parallel Circuits

In parallel circuits, elements are connected to each other, providing multiple current paths.

Parallel Circuit Rules:

  • Voltage is the same across all components
  • Current is split into different paths
  • If one path breaks, the others remain functional
  • Total resistance is less than the smallest individual resistance

1/R_total = 1/R₁ + 1/R₂ + 1/R₃

Example: Home circuits — switching off one bulb does not affect other bulbs.

Electrical Power

P = V × I

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

Alternative formulas: P = I² × R    or    P = V² ÷ R

Power shows how fast electrical energy is being used or transferred. A more powerful device consumes energy at a greater rate per second.

Example: A phone charger operating at 5V with a current of 2A consumes 10W of power.

Electrical Energy

E = P × t    or    E = V × I × t

E = energy (joules, J), t = time (seconds)

Energy is the total work done in a circuit over a given amount of time.

Your electricity bill at home is measured in kilowatt-hours (kWh) — a larger unit of the same quantity.

Circuit Diagrams and Symbols

In physics, we use circuit symbols instead of drawings. This enhances clarity and is universal, no matter your location.

Important Symbols:

Battery: alternating long and short lines
Resistor: a box
Bulb: a circle with a cross inside
Switch: a line with a dot on one end
Ammeter: a circle with an A
Voltmeter: a circle with a V

When drawing circuit diagrams, use straight lines and right-angle bends. A carefully laid-out circuit is easier to understand and analyze.

Importance of Electric Circuits

Every electronic device you interact with, from a simple torch to a sophisticated computer, is built on the concepts covered in this lesson. Understanding current flow, the voltage that pushes it, and the resistance that controls it is essential for designing, repairing, and evaluating the technology around you.

Summary Table

Quantity Symbol Unit Measuring Instrument
Current I Ampere (A) Ammeter (in series)
Voltage V Volt (V) Voltmeter (in parallel)
Resistance R Ohm (Ω) Ohmmeter
Power P Watt (W) -
Energy E Joule (J) -