Exam

JEE Main

Year

2014

Date

9 April

Mode

Online

Subject

Physics

Chapter

Capacitance

JEE Main 2014 · 9 April · Online · Physics · Capacitance

Three capacitances, each of 3 μ F , are provided. These cannot be...

Three capacitances, each of 3 $\mu \text{F}$, are provided. These cannot be combined to provide the resultant capacitance of :

Step-by-step solution

Equivalent capacitance will be maximum for parallel combination and Minimum for series combination

$∴$ Possibilities are

1) $\text{C} = 1 \mu \text{F}$

2) $\text{C} = 9 \mu \text{F}$

3) $\dfrac{1}{\text{C}} = \dfrac{1}{6} + \dfrac{1}{3} = \dfrac{3}{6}$

$∴ \text{C} = 2 \mu \text{F}$

4) $\text{C} = \dfrac{\text{C}}{2} + \text{C} = \dfrac{3}{2} \times \text{C}$

$= \dfrac{3}{2} = \text{1.5} \mu \text{F}$