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 \(75.0\Omega\)
