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How Many 176 ω Resistors (In Parallel) Are Required to Carry 5 a on a 220 V Line? - Science

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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 asVIR
RV/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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APPEARS IN

NCERT Class 10 Science
Chapter 12 Electricity
Q 10 | Page 221

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