Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
Calculate the equivalent resistance of three resistors of 2 ohm, 3 ohm, and 6 ohm connected in parallel.
1 ohm
2 ohm
0.5 ohm
11 ohm
1 ohm
When resistors are connected in parallel, the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resistances. For resistors of 2┬а╬й, 3┬а╬й, and 6┬а╬й, calculating ReqтАЛ1тАЛ=21тАЛ+31тАЛ+61тАЛ yields a total equivalent resistance of 1┬а╬й.
When resistors are connected in parallel, the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resistances. For resistors of 2┬а╬й, 3┬а╬й, and 6┬а╬й, calculating ReqтАЛ1тАЛ=21тАЛ+31тАЛ+61тАЛ yields a total equivalent resistance of 1┬а╬й.
Think of opening multiple cash register lanes at a store: more lanes in parallel reduce overall traffic resistance and let shoppers check out faster.
ReqтАЛ1тАЛ=R1тАЛ1тАЛ+R2тАЛ1тАЛ+R3тАЛ1тАЛ тАФ Reciprocal formula for parallel resistance
ItotalтАЛ=I1тАЛ+I2тАЛ+I3тАЛ тАФ Conservation of current in parallel branches
In a parallel circuit, the total current divides among multiple parallel paths, thereby decreasing the total resistance of the network compared to any individual resistor. The underlying governing law is derived from Ohm's law and conservation of current.
The equivalent resistance in a parallel combination is always smaller than the smallest individual resistance in that network.
The voltage across each resistor connected in parallel remains identical.
If one component fails or is switched off, other parallel branches continue to operate normally.
Adding more resistors in parallel increases the total current drawn, which can potentially overload the source.
Household electrical wiring where all appliances operate independently at the same voltage.
Power distribution networks in electronic circuits.
The SI unit of electrical resistance is the Ohm (╬й).
Option D (11┬а╬й) represents the incorrect sum if the resistors were mistakenly added as if they were in series (2+3+6).
A is correct тАФ The equivalent resistance of 2┬а╬й, 3┬а╬й, and 6┬а╬й resistors connected in parallel is 1┬а╬й.
Always verify whether the circuit components are in series or parallel before applying formula shortcuts in exam questions.