How does the current change in a parallel circuit?

Here are the key points about current in a parallel circuit:

Current Splitting: When current flows into a parallel circuit, it divides across the different branches based on the resistance of each branch. Branches with lower resistance will allow more current to flow through them, while branches with higher resistance will allow less current.

Total Current: The total current entering a parallel circuit is equal to the sum of the currents in each branch. Mathematically, the total current (I_total) is the sum of the individual branch currents (I_1, I_2, I_3, ..., I_n):

I_total = I_1 + I_2 + I_3 + ... + I_n

Equal Voltage: In a parallel circuit, all components have the same voltage across them. This is because they are connected across the same two points in the circuit, so the voltage across each branch is equal to the total voltage of the circuit.

Current Path Independence: One of the essential characteristics of a parallel circuit is that each branch provides a separate path for the current to flow. The current in one branch is not affected by the current in the other branches.

Total Resistance: The total resistance in a parallel circuit is always less than the smallest resistance in any individual branch. The reciprocal of the total resistance (1/R_total) is the sum of the reciprocals of the individual resistances (1/R_1 + 1/R_2 + 1/R_3 + ... + 1/R_n).

Infinite Resistance Exception: If one of the branches in a parallel circuit has an open circuit (infinite resistance), no current will flow through that particular branch. However, the other branches will continue to operate as normal.

Overall, in a parallel circuit, current divides among the different branches while the voltage remains the same across all components. This configuration is commonly used in household circuits, as it allows devices to operate independently from one another, and if one device malfunctions or is disconnected, the others continue to function unaffected.