Answer :
Final answer:
The 100 W bulb connected in parallel with a 60 W bulb to a 220 V supply consumes 50 W of power due to the division of current according to the resistances of each bulb, calculated using the power law equation and Ohm's law. Therefore, the correct answer is option C.
Explanation:
Relationship Between Power, Voltage, Current, and Resistance
When considering the relationship among power, voltage, current, and resistance in electric circuits, we use the basic power law equation for electric power: P = V * I, where P is power in watts, V is voltage in volts, and I is current in amperes. We can also relate these quantities using Ohm's law, which states that V = I * R, where R is resistance in ohms.
Applying this understanding to the question, the power consumed by bulbs connected in parallel will share the same voltage. To find the actual power consumption of the 100 W bulb when connected with a 60 W bulb to a 220 V supply, we must calculate their resistances. Using P = V2/R, we determine the resistance of each bulb. Subsequently, the total current supplied by the circuit can be found using the total resistance in the parallel circuit. Finally, we determine the power consumed by the 100 W bulb using P = I2 * R100W.
Through these calculations, we deduce that the power consumed by the 100 W bulb in this scenario is option (c) 50 W.