In which circuit will the bulb or bulbs glow the brightest?
A) A simple circuit with one bulb and one cell B) A simple circuit with one bulb and two cells C) A simple circuit with two bulbs and one cell D) A simple circuit with two bulbs and two cells
Answers
Answer:
The correct option is (B): A simple circuit with one bulb and two cells.
Explanation:
- The circuit having maximum output power will have the bulb which glows the brightest.
- The power depends on three elements: Current, Voltage, and Resistance.
- To find the power we can use the following expressions:
Power (P) = current (I)² × Resistance(R)
or,
Power(P) = Voltage(V)² ÷ Resistance(R)
- We know that the bulb provides resistance to the circuit while the cell provides a voltage supply.
Step-1
Considering 1st option: One Bulb and One cell
Then we have, Voltage = V
Resistance = R
Output power = V²/R
Step-2
Considering the 2nd option: One bulb and two cells
Then we have, Voltage = 2V
Resistance = R
Output power = (2V)²/R
= 4V²/R
Step-3
Considering the 3rd option: two bulbs and one cell
Then we have, Voltage = V
Resistance = 2R
Output power = V²/2R
= V²/2R
Step-4
Considering the 4th option: two bulbs and two cells
Then we have, Voltage = 2V
Resistance = 2R
Output power = (2V)²/2R
= 4V²/2R
= 2V²/R
- We can see that the output power in the 2nd option (i.e, Option B) is the highest
Therefore, a simple circuit with one bulb and two cells will have the highest output power and thus will have the brightest glowing bulb.