Question

the equivalent resistance of resistor in parallel is always- (a) higher than the highest of component resistor (b) less than the lowest of component resistor (c) in between the lowest and the highest of component resistor (d) equal to the sim of the component resistor

Answer 1

a is the right answer

Answer 2

The equivalent resistance of a resistor in parallel is always less than the lowest of the component resistor (option-b).

• The equivalent resistance of the resistors in a parallel arrangement is-

        1/ R = 1/ r₁ + 1/ r₂+ 1/ r3+ ..........1 / rₙ

• here, R is the equivalent resistance

• r₁, r₂, and r₃ are the resistance of three resistors connected in parallel.
• Let, r₁, r₂, and r₃ = r
• ∴ 1/ R = 1/r + 1/r + 1/r

                  = 3 x 1/r

                  = 3 / r

           1/ R = 3 / r

        Or, R = r / 3

• This means that the equivalent resistance R of the resistors in parallel is always less than the lowest of the component resistor i.e. r/3.