has a resistance fo 176 ohms. How many of these resistors should be connected in parallel so that their combination draws a current of 5 amperes from a 220 volt supply line?
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Solution
For Resistors in Parallel,
1/R(total) = 1/R₁ + 1/R₂ + 1/Rₓ
From Ohm's Law
V = IR 220 = (5)R R = 44 Ω
Therefore
1/44 = No. of 176Ω Resistors * 1/176
Let no. of 176Ω Resistors be x
Then 1/44 = x/176
x = 4
Therefore, 4 resistors of 176Ω ( in parallel) are required to carry 5 A on a 220 V line.