Question

2. In a series circuit, all resistors have identical currents.

a) What is the relationship between the power and resistance of these resistors?
b) In a parallel circuit, all resistors have identical voltages. What is the relationship
between the power and resistance of these resistors?
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Answer 1

Step-by-step explanation:

In series connection of resistors, same current flows in the circuit.

Power dissipated by a resistor is

P = i²R

And since same current flows in them, it implies that the power is directly proportional to Resistance, so the higher the resistance of the resistor the higher the power dissipated in the series connection. Also, the lower the resistance, the lower the power dissipated.

2. In parallel connection, same voltage is applied across the resistor.

So, power dissipated by each resistor is

P = V² / R

So, since the same voltage is applied across parallel connection, then, power dissipated in each resistor is inversely proportional to the resistance.,

So, the higher the resistance, the lower the power and the lower the resistance, the higher the power.