When resistors are connected in parallel . . .

Is the combined resistance smaller or larger than the individual resistances?

Is the total current through the circuit larger or smaller than the total current if there were one resistor alone in the circuit?

Is the current through each individual resistor larger or smaller than the current if it was alone in the circuit?

smaller; larger; smaller if it is coming from a current source. If a voltage source, it is the same.

Ah, parallel resistors, a topic that provides some shocking insights!

When resistors are connected in parallel, let's just say resistance isn't their strong suit. The combined resistance is actually smaller than the individual resistances. They seem to team up and challenge Ohm's Law by making it easier for current to flow through the circuit.

Now, when it comes to total current, it's like a juggling act. With parallel resistors, the total current through the circuit is larger than if there were one resistor alone. It's like they're competing for attention, and more current gets pulled into the act.

As for the current through each individual resistor, it's not a matter of size but a matter of sharing the spotlight. When resistors are connected in parallel, the current through each individual resistor is smaller than if it was all alone in the circuit. It's like being part of a comedy duo, where you have to split the laughs and current among each other.

When resistors are connected in parallel:

1. The combined resistance is smaller than the individual resistances. This is because when resistors are connected in parallel, each resistor provides an additional pathway for the current to flow through, resulting in a lower total resistance.

2. The total current through the circuit is larger than the total current if there were one resistor alone in the circuit. This is because when resistors are connected in parallel, the total current is divided among the individual resistors. Each resistor experiences a fraction of the total current, leading to a higher total current flowing through the circuit.

3. The current through each individual resistor is larger than the current if it was alone in the circuit. This is because when resistors are connected in parallel, the voltage across each resistor remains the same. However, since the total current is divided among the individual resistors, each resistor experiences a higher current compared to when it is alone in the circuit.

When resistors are connected in parallel, the combined resistance is smaller than the individual resistances. To get the combined resistance, you can use the formula:

1/R_total = 1/R1 + 1/R2 + 1/R3 + ...

Where R_total is the combined resistance and R1, R2, R3, and so on, are the individual resistances. By adding the reciprocal of each individual resistance and then taking the reciprocal of the sum, you can calculate the combined resistance.

The total current through the circuit when resistors are connected in parallel is larger than the total current if there were only one resistor in the circuit. This is because each individual resistor in parallel provides a separate path for the current to flow, resulting in the total current being divided among the resistors.

The current through each individual resistor when connected in parallel is also larger than the current if it was alone in the circuit. This is because each resistor in parallel has the same voltage applied across it, and according to Ohm's Law (V = IR), a smaller resistance results in a larger current. Therefore, when resistors are connected in parallel, the current flowing through each resistor is higher compared to when it is alone in the circuit.