If a 2.2 $k \Omega$ resistor, 10 $\mathrm { k } \Omega$ resistor and 1.2 $\mathrm { k } \Omega$ resistor are connected in parallel, the total resistance equals______
A) 721$\Omega$
B) 13.4 $\mathrm { k } \Omega$
C) 1.2 $\mathrm { k } \Omega$
D) 2.27 $\mathrm { k } \Omega$

Question

If a  2.2  $k \Omega$ resistor, 10 $\mathrm { k } \Omega$ resistor and  1.2  $\mathrm { k } \Omega$ resistor are connected in parallel, the total resistance equals______
A)  721$\Omega$
B)  13.4  $\mathrm { k } \Omega$
C)  1.2 $\mathrm { k } \Omega$
D)  2.27  $\mathrm { k } \Omega$

Quizplus · Accepted Answer

The total resistance $R_{total}$ of resistors in parallel is given by $\frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}$. Substituting the given values, $\frac{1}{R_{total}} = \frac{1}{2.2k} + \frac{1}{10k} + \frac{1}{1.2k}$. Solving this gives $R_{total} \approx 721\Omega$.

If a 22 kΩk \OmegakΩ Resistor, 10 kΩ\mathrm { k } \OmegakΩ

If a 22 $k \Omega$ Resistor, 10 $\mathrm { k } \Omega$