if you have two 5 watt bulbs connected in series and then in parellel:
which circuit arrangement will give you brighter bulbs? explain?
parallel, you get 10 watts. In series, if you double resistance (as in two in series, power=V^2/R, so power is halved in each, so you get a total of 5 watts
To determine which circuit arrangement will give you brighter bulbs when you have two 5 watt bulbs connected, we need to understand how series and parallel configurations affect the overall brightness of the bulbs.
1. Series configuration:
In a series circuit, the bulbs are connected one after another, so the current passes through both bulbs one by one. In this case, the total resistance in the circuit is the sum of the individual resistances of the bulbs. When bulbs are connected in series, their resistance adds up. As a result, the overall resistance is higher, which restricts the current flow. With a lower current flowing through the bulbs, they produce less brightness.
2. Parallel configuration:
In a parallel circuit, each bulb has its own direct path to the power source. This means that the current divides between the bulbs, and they both receive the full voltage. When bulbs are connected in parallel, their resistance decreases as compared to the series configuration because there are multiple paths for the current. With lower overall resistance, more current flows through the bulbs, resulting in brighter illumination.
Therefore, when you connect the bulbs in parallel, they will be brighter compared to a series configuration.
To summarize:
- Series connection: Both bulbs share the same current, resulting in higher overall resistance, lower current flow, and dimmer illumination.
- Parallel connection: Both bulbs receive the full voltage independently, resulting in lower overall resistance, higher current flow, and brighter illumination.