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

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Given: V = 220 volts, I = 5 A

Resistance of each resistor, R = 176 Ω

Number of resistors = n, We know that V = RpI

∴ V = \(\frac{R}{n}\)I [∵ \(\frac{1}{R_p}\) = n(\(\frac{1}{R}\))]

or n = \(\frac{RI}{V}\) = \(\frac{176 \times 5}{220}\)

= 4

Hence, 4 resistors are required.

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