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Several electric bulbs designed to be used on a 220 V electric supply line, are rated 10 W. How many lamps can be connected in parallel with each other across the two wires of 220 V line, if the maximum allowable current is 5 A?

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Several electric bulbs designed to be used on a 220 V electric supply line, are rated 10 W. How many lamps can be connected in parallel with each other across the two wires of 220 V line, if the maximum allowable current is 5 A?

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Given: Potential, V = 220 volts, P = 10 W, I = 5 A

Let number of bulbs = n

Applying the formula P = VI, we get:

10 = 220 x I

or I = \(\frac{10}{220}\) = \(\frac{1}{22}\)A

Number of bulbs = \(\frac{Total\;current}{current\;through\;each\;bulb}\)

= \(\frac{5}{\frac{1}{22}}\) = 5 x 22 = 110

Hence, 110 bulbs can be connected is parallel.

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