An electric circuit is a closed loop through which electric charge can flow. The three fundamental quantities - voltage, current, and resistance - are linked by Ohm's Law: V = IR. Voltage (measured in volts) is the electrical pressure driving charge through the circuit.
Current (amperes) is the rate at which charge flows. Resistance (ohms) opposes that flow.
Components connected in series share the same current but split the voltage. Components in parallel share the same voltage but split the current. Most real circuits combine both arrangements.
Being able to simplify complex circuits into equivalent resistances - and then work backward to find individual currents and voltages - is the core skill of circuit analysis.
Understanding Electric Circuits
Inside a metal wire, some electrons are free to move through the material. A battery uses chemical reactions to separate charge at its terminals. This separation creates an electric field through the whole connected circuit.
The field pushes mobile electrons, while conventional current is defined in the opposite direction to electron motion. This difference in direction can seem strange, but it does not change circuit answers when one convention is used consistently.
A switch works because it either completes the conducting path or leaves a gap. Plastic coating is important because it keeps charge from taking an unwanted path through nearby objects or people.
A circuit transfers energy, not just charge. Charges can move around a complete loop many times, but the battery gives them energy and circuit parts take that energy away. In a lamp, electrical energy becomes light and heat.
In a motor, it becomes motion, sound, and heat. Power tells how quickly this energy transfer happens. A device with a larger power rating uses more energy each second at its stated operating voltage.
Resistance often turns electrical energy into heat because moving electrons collide with atoms in the material. This is useful in a toaster or heater, but unwanted heating can damage wires, batteries, and electronic parts.
Good circuit solving begins with a clear diagram. Mark every junction where paths meet, then identify components that truly lie on one unbranched path or across the same two junctions. A resistor may look parallel in a messy drawing while actually being connected differently.
After finding total current from the source, work back through the circuit using the voltage drops and branch currents. At each junction, the current entering equals the current leaving. Around any complete loop, the energy supplied per unit charge equals the energy used by components.
These two conservation ideas are useful checks for every calculation. If an answer predicts that a small battery supplies more energy than it can provide, recheck the connections and units.
Meters must be connected in the right way. An ammeter measures current, so it is placed in the path whose current is being measured. It has very low resistance, and connecting it directly across a battery can cause a dangerous large current.
A voltmeter compares electric potential between two points, so it is connected across a component. It has very high resistance so it draws little current. Homes use parallel wiring so each appliance receives the supply voltage and can operate independently.
A fuse or circuit breaker opens the circuit when current becomes too large. A short circuit creates a very low resistance path, which can produce rapid heating and fire risk. Students should treat real circuits with care, especially mains electricity, and use low voltage classroom supplies unless trained supervision is present.
Key Facts
- Ohm's Law: V = IR (voltage = current × resistance)
- Power: P = IV = I²R = V²/R
- Series resistors: R_total = R₁ + R₂ + ... (same current through all)
- Parallel resistors: 1/R_total = 1/R₁ + 1/R₂ + ... (same voltage across all)
- In series: voltage splits, current is the same throughout.
- In parallel: current splits, voltage is the same across each branch.
Vocabulary
- Voltage (V)
- The electrical potential difference that drives current through a circuit, measured in volts.
- Current (I)
- The flow of electric charge past a point per unit time, measured in amperes (A).
- Resistance (R)
- Opposition to current flow, measured in ohms (Ω).
- Power (P)
- The rate of energy transfer in a circuit, measured in watts (W = J/s).
- EMF
- Electromotive force: the energy supplied per unit charge by a battery or source.
Common Mistakes to Avoid
- Thinking current is 'used up' as it flows through resistors. Current is the same throughout a series circuit - only energy (voltage) is consumed.
- Forgetting that adding resistors in parallel decreases total resistance, allowing more total current to flow.
- Mixing up which quantity is the same vs which splits: in series current is equal; in parallel voltage is equal.
- Using without checking that and are for the same component when finding power in a specific resistor.
Practice Questions
- 1 Two resistors (4 Ω and 6 Ω) are connected in series to a 20 V battery. Find the current and voltage across each resistor.
- 2 The same two resistors are now in parallel with 20 V. Find the total current drawn from the battery.
- 3 A light bulb with resistance 240 Ω is connected to 120 V. What is the power dissipated?