Final answer:
Household appliances connected in a series circuit would result in voltage drops across each appliance and would cause all appliances to stop working if one fails. Appliances in series do not receive the full voltage, hence do not operate efficiently.
Step-by-step explanation:
If household appliances were connected in a series circuit, it would be problematic because removing or one appliance failing would cause the whole circuit to stop working. This is represented by the option (d) Voltage drop across appliances. When one resistor is removed from a series circuit, the total resistance decreases, which could potentially increase the current through the remaining resistors. However, the real concern with appliances in series is that each appliance would cause a voltage drop based on its resistance, leading to potential underperformance of some appliances and a complete outage if just one fails.
In a series circuit, the voltage is divided among the resistors, so each appliance would not receive the full voltage it is rated for, which could result in less efficient operation or failure to work properly. In contrast, a parallel circuit allows each component to receive the full voltage from the power source and continue operating even if one component fails.