1.

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 on a 220V line ?

Answer»

Solution :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 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=220V current I=5A Equivalent resistance of the combination -R given as
`(1)/(R) =x xx (1)/(176)`
`R= (176)/(x)`
`x= (176 xx I)/(V)= (176 xx 5)/(220)`
x= 4


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