Question
Download Solution PDFIn an electrical circuit four identical bulbs are connected in parallel to each other to a battery of 10 V (negligible internal resistance). When all the four bulbs glow, a current of 4 A is recorded. Then the power dissipated in the circuit and the resistance of each bulb are ________ and ________, respectively.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Four identical bulbs are connected parallelly.
The voltage of the battery = 10 V
Current = 4 A
Formula used:
Power = V × I
From Ohm's Law, V = I × R
Effective resistance in parallel, \({1\over R_ {eq}} = {1\over R_ {1}} +{1\over R_ {2}}+ {1\over R_ {3}} +{1\over R_ {4}} \)
Calculation:
\(V = I × R_{eq}\\ R_{eq}= {10 \over 4}\)
Resistance in each bulb(R),
\({1\over R_ {eq}} = {1\over R_ {1}} +{1\over R_ {2}}+ {1\over R_ {3}} +{1\over R_ {4}} \\ ={1\over R} +{1\over R}+ {1\over R} +{1\over R} \\ ={4\over R}\\ R_{eq}= {R \over 4}\\ R = {10\over 4} \times 4\\ R=10 \:\Omega\)
Thus, resistance in each bulb is 10 Ω.
Current in each bulb,
\(I = {V \over R} \\ I={10 \over 10}\\I=1\:A\)
Power dissipated in the circuit,
\(P=V × I\\ =10 \times 4 \\=40\)
Last updated on Jul 18, 2025
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