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. [5 MARKS]

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Solution

Each point: 1 Mark

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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Two resistors $R_{1}$ and $R_{2}$ are joined in parallel. Find the equivalent resistance. [2 MARKS]

Write the expressions for the equivalent resistance R of three resistors $R_{1}, R_{2}$ and $R_{3}$ joined in (a) parallel, and (b) series.

R_{1}

R_{2}

R_{1} = 100.0 \pm 0.1 Ω, R_{2} = 50 \pm 0.03 Ω

R_{1} o r R_{2}

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