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Several electric bulbs designed to be used on a 220 V electric

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Class 10

NCERT

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Show how you would connect 3 resistors , each of resistance 6 ohm, so that the combination has a resistance of (i) 9 ohm (ii) 4 ohm

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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Question

Hard

Solving time: 4 mins

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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Updated on: Feb 29, 2024

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Science (NCERT)

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Text solutionVerified

Given,

V = 220 V

Power rating of each bulb,

P = 10 W

Total current,

I_{t} = 5 A

Let number of lamps in parallel be

n

Let individual resistance of each lamp be

R

From Joule's law of heating,

P = V^{2} / R

10 = 22 0^{2} / R

R = 4840 ............. (i)

R_{1} = R_{2} = .............. = R_{n} = R .............. (ii)

For resistances in parallel,

\frac{1}{R _{e q}} = \frac{1}{R _{1}} + \frac{1}{R _{2}} + ...... + \frac{1}{R _{n}} ........ (iii)

From (ii) and (iii),

R_{e q} = R / n .......... (i v)

Substituting (i) in (iv),

R_{e q} = 4840/ n ............... (v)

From Ohm's Law,

V = I_{t} R_{e q} ............ (v i)

Substituting (v) in (vi),

220 = 5 \times 4840/ n

n = 110

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Show how you would connect 3 resistors , each of resistance 6 ohm, so that the combination has a resistance of (i) 9 ohm (ii) 4 ohm

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Question Text	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?
Updated On	Feb 29, 2024
Topic	Electricity
Subject	Science
Class	Class 10
Answer Type	Text solution:1 Video solution: 27
Upvotes	2822
Avg. Video Duration	6 min

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?

Text solutionVerified

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