Question
Download Solution PDFThis question was previously asked in
RRC Group D Previous Paper 25 (Held On: 22 Sept 2018 Shift 2)
- Brightness is independent of resistance
- The bright bulb
- Both have the same resistances
- The dim bulb
Answer (Detailed Solution Below)
Option 4 : The dim bulb
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Detailed Solution
Download Solution PDFCONCEPT:
- Power: The rate of work done by an electric current is called power. It is denoted by P. The SI unit of power is the watt (W).
Power dissipationis given by:
Power (P) = V I = V2/R = I2R
Where V is the potential difference across resistance, I is current flowing and R is resistance.
According to Ohm’s law:
V = I × R.
Where V = Voltage, I = current flowing through the circuit, R = Resistance
EXPLANATION:
Power (P)= V2/R
- From the above formula, keeping the potential same the power is inversely proportional to the resistance.
- The bulb which draws maximum power will glow more as compared to other and current is inversely proportional to resistance.
- Hence, the dim bulb will have higher resistance, andone which glows brighter than the other will have less resistance. So option 4 is correct.
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More Physics Questions
I'm an enthusiast with a deep understanding of physics, particularly in the realm of electricity and circuits. Now, let's delve into the concepts discussed in the provided article:
The article discusses the concept of power in electrical circuits and how it is related to resistance. Here are the key points:
-
Power (P) in an electrical circuit:
- Power is the rate of work done by an electric current.
- Denoted by P, the SI unit of power is the watt (W).
- Power dissipation is given by the formulas: ( P = V \cdot I ) and ( P = \frac{{V^2}}{{R}} = I^2 \cdot R ).
-
Ohm's Law:
- Ohm's law states that ( V = I \cdot R ), where V is the voltage, I is the current flowing through the circuit, and R is the resistance.
-
Relation between Power and Resistance:
- The formula ( P = \frac{{V^2}}{{R}} ) indicates that, keeping the potential difference (V) constant, power is inversely proportional to resistance (R).
- A bulb drawing maximum power will glow more compared to others, and the current is inversely proportional to resistance.
-
Application to the Bright and Dim Bulbs:
- The conclusion drawn in the article is that the dim bulb will have higher resistance, and the one glowing brighter will have less resistance.
- Therefore, the answer to the question is "The dim bulb."
This understanding is crucial for comprehending electrical circuits, power consumption, and the behavior of different components like bulbs in a circuit. If you have any specific questions or if there's another topic you'd like to explore within physics, feel free to ask!