When two resistors are connected in series,the equivalent resistance is R_s = 10 $\Omega$.When they are connected in parallel,the equivalent resistance is R_p = 2.4 $\Omega$.What are the values of the two resistances? A)4.0 $\Omega$ and 6.0 $\Omega$ B)5.0 $\Omega$ for both C)1.0 $\Omega$ and 1.4 $\Omega$ D)1.2 $\Omega$ for both E)2.5 $\Omega$ and 7.5 $\Omega$

Question

Quizplus · Accepted Answer

When two resistors are connected in series, their resistances add up, so $R_{series} = R_1 + R_2 = 10 \Omega$. When connected in parallel, the reciprocal of the total resistance is the sum of the reciprocals of each resistance, so $\frac{1}{R_{parallel}} = \frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{2.4 \Omega}$. Solving these equations simultaneously gives the resistances as 4.0 Ω and 6.0 Ω.

When Two Resistors Are Connected in Series,the Equivalent Resistance Is Ω\OmegaΩ

When Two Resistors Are Connected in Series,the Equivalent Resistance Is $\Omega$