When we say the resistors are in parallel? Write the expression for the resistors in parallel. How many 176 `Omega` resistors (in parallel) are required to carry 5 A on a 220 V line?

Explanation

When we can say that resistors are in parallel if same potential difference is applied across them.
For three resistors, if we connect them in parallel, the equivalent resistance is R
`1//R = 1//R_1 + 1//R_2 + 1//R_3`
For x number of resistors of resistance 176`Omega`, the equivalent resistance of the resistors connected in parallel is given by Ohm.s law as V = IR
R = V/I where,
supply voltage, V = 220 V
Current, I = 5 A
Equivalent resistance of the combination = R,
Given as,
`1/R = x xx(1/176)`
From Ohm.s law ,
`V/I=176/x`
`x=(176xxI)/V = (176xx5)/220`= 4