in a series circuit with three resistors connected to a power source, what would happen to the equivalent…

in a series circuit with three resistors connected to a power source, what would happen to the equivalent resistance and current if you removed any one of the resistors?\nthe equivalent resistance would decrease and the current would increase.\nthe equivalent resistance would increase and the current would increase.\nthe equivalent resistance would decrease and the current would decrease.\nthe equivalent resistance would increase and the current would decrease.

in a series circuit with three resistors connected to a power source, what would happen to the equivalent resistance and current if you removed any one of the resistors?\nthe equivalent resistance would decrease and the current would increase.\nthe equivalent resistance would increase and the current would increase.\nthe equivalent resistance would decrease and the current would decrease.\nthe equivalent resistance would increase and the current would decrease.

Answer

Explanation:

Step1: Recall series - resistance formula

For a series circuit with resistors $R_1$, $R_2$, $R_3$, the equivalent resistance $R_{eq}=R_1 + R_2+R_3$. If one resistor (say $R_3$) is removed, the new equivalent resistance $R_{eq}'=R_1 + R_2$. So, $R_{eq}'>R_{eq}$, and the equivalent resistance decreases.

Step2: Apply Ohm's law

Ohm's law is $I=\frac{V}{R_{eq}}$, where $V$ is the voltage of the power - source (constant here). Since $V$ is constant and $R_{eq}$ decreases, according to the formula, the current $I$ will increase as $I$ and $R_{eq}$ are inversely proportional.

Answer:

The equivalent resistance would decrease and the current would increase.