The concept of resistors in parallel is based on the principle that when multiple resistors are connected in parallel, the total resistance of the circuit decreases. This is because the current has multiple paths to flow through, reducing the overall resistance.
The total resistance of resistors in parallel can be calculated using the formula: 1/R(total) = 1/R(1) + 1/R(2) + ... + 1/R(n), where R(1), R(2), etc. represent the individual resistances. This formula can be simplified to R(total) = (R(1) x R(2) x ... x R(n)) / (R(1) + R(2) + ... + R(n)).
As more resistors are added in parallel, the total current in the circuit increases. This is because the total resistance decreases, allowing more current to flow through the circuit.
No, all resistors in a parallel circuit do not have the same voltage. The voltage across each resistor is determined by its individual resistance and the total current in the circuit. The voltage across each resistor can be calculated using the formula V = IR, where V is the voltage, I is the current, and R is the resistance.
The brightness of bulbs in a parallel circuit remains the same when more bulbs are added. This is because each bulb has its own separate path for current to flow through, maintaining the same voltage and brightness. However, the total current in the circuit will increase, so the power supply may need to be able to provide more current.