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Electric bulb 50 W-100 V glowing at full power are to be used in parallel with battery 120 V, 10Ω. Maximum number of bulbs that can be connected so that they glow in full power is
- a)2
- b)8
- c)4
- d)6
Correct answer is option 'C'. Can you explain this answer?
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Electric bulb 50 W-100 V glowing at full power are to be used in para...
Solution:
Given:
Voltage of electric bulb, V = 100 V
Power of electric bulb, P = 50 W
Voltage of battery, Vb = 120 V
Resistance of battery, Rb = 10 Ω
We know that Power, P = VI
Where, V is the voltage and I is the current through the circuit.
So, current through the circuit is I = P/V = 50/100 = 0.5 A
Let 'n' be the number of bulbs that can be connected in parallel.
Total current through the circuit, I = nIb
Where, Ib is the current through the battery.
So, nIb = 0.5 A
Or, nVb/Rb = 0.5 A
Or, n = (0.5 x 10)/120
Or, n = 0.0417
Therefore, the maximum number of bulbs that can be connected so that they glow in full power is:
n = 4 (approx.)
Hence, the correct answer is option (c) 4.
Given:
Voltage of electric bulb, V = 100 V
Power of electric bulb, P = 50 W
Voltage of battery, Vb = 120 V
Resistance of battery, Rb = 10 Ω
We know that Power, P = VI
Where, V is the voltage and I is the current through the circuit.
So, current through the circuit is I = P/V = 50/100 = 0.5 A
Let 'n' be the number of bulbs that can be connected in parallel.
Total current through the circuit, I = nIb
Where, Ib is the current through the battery.
So, nIb = 0.5 A
Or, nVb/Rb = 0.5 A
Or, n = (0.5 x 10)/120
Or, n = 0.0417
Therefore, the maximum number of bulbs that can be connected so that they glow in full power is:
n = 4 (approx.)
Hence, the correct answer is option (c) 4.
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Electric bulb 50 W-100 V glowing at full power are to be used in parallel with battery 120 V, 10Ω. Maximum number of bulbs that can be connected so that they glow in full power isa)2b)8c)4d)6Correct answer is option 'C'. Can you explain this answer?
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