What is resistance and resistivity? Why is the series arrangement not used for domestic circuits? Two resistors $R_{1}$ and $R_{2}$ are joined in series. Find the equivalent resistance.

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Solution

1. Resistance depends on length, area of cross section and nature of material.
2. Resistivity depends only on nature of the material.
3. If there is a fault in one appliance, supply to all the appliances will get effected.
4. Also not all the appliances will need same current(Ex: Water heater needs more current compared to a filament bulb).
5. Equivalent resistance $R = R_{1}$ + $R_{2}$

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