Electric Charge
All matter contains electric charges. Electrons carry a negative charge; protons carry a positive charge.
- Like charges repel each other.
- Unlike charges attract each other.
Electric Current
Current is the flow of electric charge through a conductor.
Electric Current
Q = charge (C = coulombs), t = time (s), I = current (A = amperes).
Current flows from the positive terminal of a battery, through the circuit, to the negative terminal (conventional current direction).
Voltage (Potential Difference)
Voltage is the "push" that drives current around the circuit — the energy provided per unit charge.
Voltage
E = energy (J), Q = charge (C), U = voltage (V = volts).
A 9 V battery gives 9 joules of energy to each coulomb of charge.
Resistance
Resistance opposes the flow of current.
Ohm's Law
U = voltage (V), I = current (A), R = resistance (Ω = ohms).
Power
Electrical Power
P = power (W = watts), U = voltage (V), I = current (A).
- 1
Identify the known quantities
Voltage (V), current (A), or resistance (Ω)? - 2
Choose the right formula
Ohm's law: U = IR. Power: P = UI. - 3
Solve and check units
V = A × Ω. W = V × A.
A resistor has R = 20 Ω and a current of 0.5 A flows through it. Find the voltage across it.
Real world: phone charger
A phone charger converts 230 V mains supply to 5 V at 2 A for the phone. The internal resistance of the charger circuit: . Power consumed: . Ohm's law governs every consumer electronics device.
Real world: household fuse selection
A kettle operates at 230 V and is rated at 2000 W. Current drawn: . The electrician fits a 13 A fuse — the next standard size above 8.7 A — to protect the cable from overheating.
Real world: electric car charging
An electric car battery is charged at 400 V with a current of 50 A. Charging power: . Engineers design the charging circuit using Ohm's law to ensure cables and connectors can carry the load safely.
Practice Problems
A 12 V battery drives a current of 3 A. What is the resistance of the circuit?
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What current flows through a 60 Ω resistor connected to a 120 V supply?
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A device runs at 230 V and draws 2 A. What is its power?