Question

What is the equivalent resistance for a series circuit with three resistors: 19.2 ohms, 24.6 ohms, and 31.2 ohms?

Answer 1

The answer would be 75 ohms

Answer 2

Answer : The equivalent resistance for a series circuit is $75.0\Omega$

Explanation :

Equivalent resistance : It represents the total effect of all resistors in the circuit.

In series circuit, we add all the resistances of each component.

$R=R_1+R_2+R_3....$

In parallel circuit, the reciprocal of the total resistance is equal to the sum of the reciprocals of the resistances of each component.

$\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}...$

As we are given:

$R_1=19.2\Omega$

$R_2=24.6\Omega$

$R_3=31.2\Omega$

Now we have to calculate the equivalent resistance for a series circuit.

$R=R_1+R_2+R_3$

$R=19.2\Omega+24.6\Omega+31.2\Omega$

$R=75.0\Omega$

Therefore, the equivalent resistance for a series circuit is $75.0\Omega$