What happens when resistance are connected in parallel?

When resistances are connected in parallel, the total resistance of the circuit decreases. This is because the current has multiple paths to flow through, so the overall resistance is reduced. The formula to calculate the total resistance of resistors connected in parallel is:

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

Where R_total is the total resistance, and R1, R2, R3, etc. are the individual resistances connected in parallel.

When resistors are connected in parallel, the overall resistance of the circuit decreases. This is because the current flowing through the circuit can now divide between the different resistors, reducing the total resistance experienced by the current. The equivalent resistance of a parallel circuit can be calculated using the following formula:

1/Req = 1/R1 + 1/R2 + 1/R3 + ... + 1/Rn

where:

Req is the equivalent resistance
R1, R2, R3, ..., Rn are the resistances of the individual resistors

For example, if you have two resistors connected in parallel, each with a resistance of 10 ohms, the equivalent resistance would be:

1/Req = 1/10 + 1/10
1/Req = 2/10
1/Req = 1/5
Req = 5 ohms

This means that the overall resistance of the circuit has decreased from 10 ohms to 5 ohms.

Connecting resistors in parallel can be useful for creating circuits with specific resistance values. For example, if you need a circuit with a resistance of 5 ohms, but you only have resistors of 10 ohms, you can connect two of them in parallel to achieve the desired resistance.