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A resistor has a resistance of 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? - Science

A resistor has a resistance of 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

Suppose x resistors should be connected in parallel to draw a current of 5 A.
For a parallel combination, 1 / R = 1 / R1 + 1 / R2 + 1 / R3 + ... (x times)

Here, R1 = R2 = R3 = ... = 176 Ω
Then the resultant resistance, R = 176 / x Ω

Given that the current, I = 5 A and voltage, V = 220 V

Then by Ohm's law, IR

By substituting the values, we get:

`220=5xx176/x`

x = 4

Hence, four resistors of 176 Ω each should be connected in parallel to draw a current of 5 A from a 220 V supply line.

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APPEARS IN

Lakhmir Singh Class 10 Physics (Science)
Chapter 1 Electricity
Q 21
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