How many 175 ohm resistor in parallel are reqiired to carry 5 ampere on a 220volte line?
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Resistance required in the circuit, R = V/I = 220V/5A = 44 W, Resistance of each resistor, r = 176 W
If n resistors, each of resistance r, are connected in parallel to get the required resistance R, then R = r/n or n = r/R = 176/44 = 4
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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.
I hope, this will help you___❤❤
Thank you
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