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How many 176 Ω resistors (in parallel) are required to carry 5 A on a 220 V line?
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Solution
For x number of resistors of resistance 176 Ω, the equivalent resistance of the resistors connected in parallel is given by Ohm’s law asV= 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)`
`R=176/x`
From Ohm's law
`V/I=176/x`
`x=(176xxI)/V=(176xx5)/220=4`
Therefore, four resistors of 176 Ω are required to draw the given amount of current.
Concept: System of Resistors - Resistances in Parallel
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