Question

The total resistance of three parallel resistors is

Answer 1

A resistor is a two-terminal passive electrical component that acts as a circuit element by implementing electrical resistance. Resistors are employed in electronic circuits for a variety of purposes, including reducing current flow, adjusting signal levels, dividing voltages, biassing active components, and terminating transmission lines. High-power resistors, which may dissipate hundreds of watts of electrical power as heat, can be found in motor controllers, power distribution systems, and generator test loads.

Complete step-by-step solution:
A circuit's resistors can be linked in parallel. The overall resistance of a group of resistors is determined by their individual values as well as the way they are linked. When each resistor is linked directly to the voltage source by connecting cables with low resistance, the resistors are in parallel. As a result, the whole voltage of the source is supplied to each resistor. The current drawn by each resistor is the same as if it were the sole resistor connected to the voltage source. This is true of a home's or apartment's wiring. Each appliance-connected outlet can function independently, and the electricity does not have to flow through each appliance in order. Each parallel resistor receives the same full voltage from the source, but the whole current is divided among them. Connecting two light bulbs in a parallel circuit with a 1.5V battery is one example of this. When linked to a single battery source in a series circuit, the two light bulbs would be half as bright. The two light bulbs, however, would be just as bright if they were linked in parallel to the battery as if they were connected individually. Because both light bulbs are receiving the same full voltage, the battery will also expire more rapidly because it is basically giving full energy to both light bulbs.
The reciprocal of the sum of the reciprocals of the individual resistors is the overall resistance of resistors linked in parallel.
hence
$\dfrac{1}{{{R_{{\text{eq}}}}}} = \frac{1}{{{R_1}}} + \frac{1}{{{R_2}}} + \frac{1}{{{R_3}}}.$

Note: Resistors are widespread in electronic equipment and are common components of electrical networks and electronic circuits. As discrete components, practical resistors can be made up of a variety of compounds and shapes. Resistors are used in integrated circuits as well. The resistance of a resistor determines its electrical function; typical commercial resistors come in a range of more than nine orders of magnitude. The resistance's nominal value is within the manufacturing tolerance specified on the component.