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Explain the series and parallel connection of resistors. Also, derive an equation for the total resistance in both series and parallel connections.

(4 marks)

Sagot :

GinnyAnsweridn

Final answer:

Resistors in series add up their resistances, while resistors in parallel have a reciprocal formula for total resistance. Combining series and parallel connections requires reducing the circuit in steps.


Explanation:

Resistors in series are connected sequentially so that the same current passes through each resistor. The total resistance in series is the sum of the individual resistances, calculated using the formula: Rt = R1 + R2 + R3...

Resistors in parallel are connected so that the voltage is the same across each resistor. The total resistance in parallel is calculated using the reciprocal formula: 1/Rt = 1/R1 + 1/R2 + 1/R3...

When resistors are combined in a circuit containing a mixture of series and parallel connections, it is essential to reduce the circuit in steps by considering individual groups of series or parallel connections.


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