Two electric bulbs marked 25 W-220 V and 100 W-220 V are connected in series to a 440 V sup

step 1 In this question we have two electric blocks marked 25 watt and 22 volt and 100 volt by 22 volt

Two electric bulbs marked 25 W-220 V and 100 W-220 V are...

Two electric bulbs marked $25 \mathrm{~W}-220 \mathrm{~V}$ and $100 \mathrm{~W}-220 \mathrm{~V}$ are connected in series to a $440 \mathrm{~V}$ supply which of the bulbs will fuse?
(A) $100 \mathrm{~W}$
(B) $25 \mathrm{~W}$
(C) None of this
(D) Both

Key Concepts

Series Circuit

In a series circuit configuration, all components are connected end-to-end, and the same current flows through every component. This means that the individual voltage drops across each component add up to the total supply voltage, making it essential to understand how the applied voltage is divided among connected devices.

Power Rating and Resistance

The power rating of an electrical device indicates the amount of power it is designed to consume under rated conditions. For resistive loads such as incandescent bulbs, the resistance can be deduced from the power rating and the rated voltage using the relationship R = V²/P. This calculation helps in understanding how the device will behave when subject to voltages different from the rated value.

Voltage Division in Series Circuits

In a series circuit, the supply voltage is divided among the components in proportion to their resistances. Devices with higher resistance will drop a larger portion of the total supply voltage than those with lower resistance. This division is crucial in determining whether an individual component is operating within its safe voltage range.

Overload Condition

When a component in a circuit receives a voltage higher than its rated value, it may draw excessive power and overheat, leading to a failure or fuse. Understanding the effects of excessive voltage and current on components is essential in circuit design and analysis, particularly when combining devices with different power ratings.

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