Question

How many 176 ohm resistors (in parallel) are requiered to carry 5A on a 220 V line?

Answer 1

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.

Answer 2

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Let the total no. of resistors = x

Given,

I = 5 A

V = 220 V

According to Ohm’s law,

V = IR

R = V/ I = 220/5 = 44Ω

Now for x number of resistors of resistance 176 Ω, the equivalent resistance of the resistors connected in parallel is 44 Ω.

1/44 = 1/176 + 1/176 + 1/176 .....χ times

1/44 = x / 176

=> x = 176/ 44

=> x = 4

Therefore, 4 resistors of 176 Ω are required to draw the given amount of current.

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Thank you

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