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Learning Introductory Physics with Activities

Section 26.1 What Is a Circuit?

Activity 26.1.1. Warm-up: Everyday Circuits.

Write down at least one thing you already know about electric circuits from your previous coursework and/or your everyday experiences.

Subsubsection Key Ideas

Definition 26.1.2. Circuit.

A circuit is a continuous path of electrical conductors.
  • A circuit is made of conducting elements. Any object that is electrically conductive can be a circuit element. Common elements include wires, batteries, light bulbs, resistors, capacitors, and switches.
  • An electric field will force current to flow. For current to flow through the conductors that make up a circuit, an electric field must be present inside the conductors, when they are not in electrostatic equilibrium. Such an electric field is most commonly caused by including a battery in the circuit.
  • Current can flow through a complete circuit. A circuit is only complete if there is at least one continuous path of electrical conductors and circuit elements that starts and ends at the same location.
  • Current cannot flow through a broken circuit. If a circuit is broken by a nonconductive element, such as an insulator or an open switch, no current will flow. It only takes one break in a circuit to stop current from flowing.
  • Every circuit element has a voltage across it. The voltage is measured from one side of the element to the other and is usually represented as \(\Delta V_{\text{element}}\) or sometimes even just \(V_{\text{element}}\text{.}\)
  • Every circuit element has a current through it. The current is measured as the amount of positive charge passing through the element per unit time and is usually represented as \(I_{\text{element}}\text{.}\)
A diagram of a complete circuit consisting of a square marked with three boxes (A, B, and C) on the left, upper, and right sides, respectively. A small dot below box A is marked as a starting point.
Figure 26.1.3. Example: A simple circuit consisting of three unknown circuit elements (A, B, and C).

Activity 26.1.2. Going around a Circuit.

Imagine that you are a tiny positive charge, initially located at the dot in the Circuit Figure above. You begin moving clockwise through the circuit. As you pass through element A, you measure a gain in voltage of \(\Delta V_A = 5 \mathrm{~V}\) and you measure a current of \(I_A = 0.7 \mathrm{~A}\text{.}\) As you pass through element B, you measure a voltage decrease of \(\Delta V_B = -3 \mathrm{~V}\text{.}\)

(a)

How do you think the voltage will change as you pass through element C? Explain your reasoning.

(b)

What do you think is the current through element B? Through element C? Explain your reasoning.