Minimum number of 2,mu F and 250, V capacitor | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let $m$ capacitors be connected in series in each row,and $n$ such rows be connected in parallel.The equivalent capacitance of one row is $C_{row}

Vedclass · Accepted Answer

$24$

Vedclass · Answer

(B) Let $m$ capacitors be connected in series in each row,and $n$ such rows be connected in parallel.The equivalent capacitance of one row is $C_{row} = \frac{2\,\mu F}{m}$.The total equivalent capacitance is $C_{eq} = n 	imes C_{row} = n 	imes \frac{2}{m} = 12\,\mu F$.Thus,$n = 6m$.The voltage rating of each row is $V_{row} = m 	imes 250\, V$. To withstand $500\, V$,we must have $m 	imes 250 = 500$,which gives $m = 2$.Substituting $m = 2$ into the equation $n = 6m$,we get $n = 6 	imes 2 = 12$.The total number of capacitors required is $N = n 	imes m = 12 	imes 2 = 24$.

Minimum number of $2\,\mu F$ and $250\, V$ capacitors required to make a combination of $12\,\mu F$ and $500\, V$ is:

Similar Questions

In $Millikan's$ oil drop experiment,a charge $Q$ is held stationary between two plates under a potential difference of $2400\, V$. If a second drop with half the radius is to be held stationary using a potential difference of $600\, V$,then the charge on the second drop is:

$A$ parallel plate capacitor,after being charged,is kept connected to a battery,and the plates are pulled apart with the help of insulating handles. Which of the following quantities will decrease?

Calculate the charge on the second capacitor before and after the switch in the circuit is closed.

The potential differences that must be applied across the parallel and series combination of $3$ identical capacitors are such that the energy stored in them becomes the same. The ratio of the potential difference in the parallel combination to the series combination is:

Four identical capacitors and three identical resistors are connected to a battery with $emf$ $E$ and internal resistance $r$ as shown in the figure. Find the charge on each capacitor.

Vedclass Test Series

Exam Paper Generator

Online Exam Module