VOLTAGE−CURRENT CHARACTERISTICS
PRELAB
PURPOSE
To study the characteristics of voltage and current in a battery powering an ohmic (linear) circuit element and two non-ohmic (non-linear) circuit elements.
MATERIALS digital multimeter, ammeter, component box, dc power source.
RELEVANT FORMULAS
Ohms’ law:
DISCUSSION
Figure 2.06-1: A Simple Resistive Circuit
Fig. 2.06-1 shows an ideal battery; that is, a battery with no internal resistance. This power source is connected to a circuit element of resistance R. The resistance of a circuit element is defined as:
where V is the potential
drop across the circuit element, and I is the current through the circuit
element. The unit of resistance, volts per ampere, is also
called the ohm (Ω).
If the resistance is constant for all values of I the circuit element
is said to be
ohmic. For an ohmic circuit element a graph of I
vs. V will be a straight line through the origin (Fig. 2.06-2a)
with slope of ΔI/ΔV
or 1/R, which is a constant. The ideal battery in Fig. 2.06-1
produces a constant potential difference across its terminals independent
of the current being delivered to the load R and has the V-I graph
shown in Figure 2.06-2b.
Figure 2.06-2: Voltage-Current Characteristics