Four equal resistors are connected in series across a battery and cons...
The power consumed in a series circuit:
In a series circuit, the resistors are connected one after the other, so the same current flows through each resistor. The total resistance in a series circuit is the sum of the individual resistances. Therefore, the total power consumed by the resistors can be calculated using the formula:
P = I^2 * R
Where P is the power consumed, I is the current flowing through the circuit, and R is the total resistance.
The power consumed in a parallel circuit:
In a parallel circuit, the resistors are connected in separate branches, and the voltage across each resistor is the same. The total resistance in a parallel circuit can be calculated using the formula:
1/Rt = 1/R1 + 1/R2 + 1/R3 + ...
Where Rt is the total resistance and R1, R2, R3, ... are the individual resistances.
The current flowing through each resistor in a parallel circuit can be calculated using Ohm's Law:
I = V/R
Where I is the current, V is the voltage across the resistors, and R is the individual resistance.
The power consumed by each resistor in a parallel circuit can be calculated using the formula:
P = I^2 * R
Where P is the power consumed, I is the current flowing through the resistor, and R is the individual resistance.
Comparison of power consumed in series and parallel circuits:
When the four resistors are connected in series, the total resistance is four times the resistance of each individual resistor. As a result, the current flowing through the circuit is reduced, and the power consumed is also lower compared to the parallel circuit.
When the four resistors are connected in parallel, the total resistance is equal to the resistance of each individual resistor divided by four. As a result, the current flowing through each resistor is increased, and the power consumed is also higher compared to the series circuit.
Therefore, in a parallel circuit, the total power consumed is higher than in a series circuit with the same resistors.
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