What is the dependence of the currents in a resistor connected in parallel on their resistance?

| April 1, 2021 | education

The peculiarities of the parallel connection of conductors (resistances, resistors) is that the total resistance of the electrical circuit with such a connection decreases.

The dependence of the values ​​of the total and “parallel” resistances is designated as the sum of reciprocal values: 1 / R total = 1 / R₁ + 1 / R₂ + 1 / R₃ + …

The current in the circuit will be the total value of the currents in parallel branches: I total = I₁ + I₂ + I₃ + …

It is easy to see that if the connected resistances are the same, then the total (R total) will be multiples of the resistance of the “branch” (R): R total = R / n, where n is the number of resistors connected in a parallel circuit.

Based on the formula I = U / R, where U is the voltage in the circuit, R is the resistance of the circuit, we see that in our circuit with parallel connection of resistors, the current will increase due to a decrease in the total resistance (the voltage does not change with such a connection).



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