think like an You have three resistors of resistance 30 ohm

You have three resistors of resistance 30 ohm [Ohm]. There are__configurations possible, with__unique combinations, resulting in___different resistance values. A \"configuration\" is a way of combining the resistors. For example, two resistors in parallel is one configuration; two resistors in series is a second configuration. A \"combination\" is the specific way of combining given resistors to form an effective resistance. For example, combining Resistor #1 and #2 in parallel is one combination; combining Resistor #1 and #3 in parallel is a second combination. These combinations may or may not result in a unique effective resistance. What is the greatest resistance that can be made from a combination of resistors, and what is the effective resistance of this combination? What is the least resistance that can be made from a combination of resistors, and what is the effective resistance of this combination?

Solution

b) GREATEST RESISTANCE CAN BE ACHIEVED THROUGH SERIES CONNECTION OF THREE RESISTORS.

EFFECTIVE RESISTANCE=30+30+30=90 OHMS

C) LEAST RESISTANCE CAN BE ACHIEVED THROUGH PARALLEL CONNECTION OF THREE RESISTORS.

EFFECTIVE RESISTANCE=(30*30)/(30+30)=15 OHMS

(15*30)/(15+30)=450/45=10 OHMS