
To compare: the brightness of the bulbs shown in the figure below.

Explanation of Solution
Given:
Four resistors are connected.
The circuit diagram is
Introduction:
The brightness of a bulb is proportional to its power dissipation. Since it is given that the bulbs are identical, the resistance of the bulb will be the same.
The current
The current
Here,
That is, the current is inversely proportional to resistance.
On comparing the two branches of the parallel circuit, we can find that the equivalent resistance of branch having bulb 1 will be less than that of the branch having bulb 2 and 3. Thus,
We have a formula for power that is,
As the bulbs are identical, power depends only on
Since the bulbs 2 and 3 are connected in series, the same current flows through them. Thus, bulbs 2 and 3 will have the same brightness.
Conclusion:
Hence, bulbs 2 and 3 will have the same brightness. Bulb 1 will be less than that of the branch having bulb 2 and 3.
Chapter 23 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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