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Beginner · 10 min

Simple electric circuits

Use voltage, current, and resistance to calculate values in a simple circuit.

A complete path

Electric current is a flow of electric charge, measured in amperes (A). A simple battery circuit needs a complete conducting path for a steady current. Voltage, measured in volts (V), describes the energy transferred per unit charge between two points. Resistance, measured in ohms (Ω), describes how strongly a component opposes current. An open switch breaks the path and stops the steady current in a simple series circuit.

Worked example

In a diagram with one battery, one resistor, and a switch in series, closing the switch completes the path.

Use Ohm's law

For an ohmic resistor at constant temperature, voltage equals current multiplied by resistance: V = I × R. Divide voltage by resistance to find current. At the same voltage, a larger resistance gives a smaller current. These exercises use ideal batteries and resistors, so the stated voltage is the voltage across the resistor. Explore these relationships on paper or in a circuit simulator.

Worked example

A 6 V supply is connected across a 3 Ω resistor. Current = 6 ÷ 3 = 2 A

Interactive experiment

Resistance lab

Keep the voltage at 6 V. Change the resistance and observe the current.

Current

0.6 A

I = 6 / 10 = 0.6 A

Model: an ideal ohmic resistor at constant temperature. At fixed voltage, greater resistance means less current.

Design a circuit on paper

  1. Draw a complete circuit with a 6 V battery, one 6 Ω resistor, and a closed switch. Calculate the current.
  2. Replace the resistor in your drawing with a 12 Ω resistor. Calculate the new current and compare it with the first.
Practice