Two capacitors of capacities 1 mu F and C mu | vedclass

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

Question

(B) When capacitors are connected in series,the charge on each capacitor is the same as the total charge on the combination.Given,$q = 80 \mu C$ for b

Vedclass · Accepted Answer

$1600$

Vedclass · Answer

(B) When capacitors are connected in series,the charge on each capacitor is the same as the total charge on the combination.Given,$q = 80 \mu C$ for both capacitors.The energy stored in a capacitor is given by $U = \frac{q^2}{2C}$.First,we find the value of $C$ using the equivalent capacitance formula: $C_{	ext{eq}} = \frac{q}{V} = \frac{80 \mu C}{120 \ V} = \frac{2}{3} \mu F$.For series connection,$\frac{1}{C_{	ext{eq}}} = \frac{1}{1} + \frac{1}{C}$.$\frac{3}{2} = 1 + \frac{1}{C} \implies \frac{1}{C} = \frac{1}{2} \implies C = 2 \mu F$.Now,the energy stored in the capacitor $C$ is $U = \frac{q^2}{2C} = \frac{(80 \mu C)^2}{2 	imes 2 \mu F} = \frac{6400 	imes 10^{-12}}{4 	imes 10^{-6}} \ J = 1600 	imes 10^{-6} \ J = 1600 \ \mu J$.

Two capacitors of capacities $1 \mu F$ and $C \mu F$ are connected in series and the combination is charged to a potential difference of $120 \ V$. If the charge on the combination is $80 \mu C$,the energy stored in the capacitor of capacity $C$ in $\mu J$ is

Similar Questions

Let $f$ and $g$ be continuous functions on $[0, a]$ such that $f(x) = f(a - x)$ and $g(x) + g(a - x) = 4$. Then $\int_{0}^{a} f(x)g(x) dx$ is equal to

The voltage of an $ac$ source varies with time according to the equation $V = 100 \sin(100 \pi t) \cos(100 \pi t)$,where $t$ is in $seconds$ and $V$ is in $volts$. Then:

If the pair of straight lines given by $Ax^2+2Hxy+By^2=0$ $(H^2 > AB)$ forms an equilateral triangle with the line $ax+by+c=0$,then $(A+3B)(3A+B)$ is equal to:

The radiation emitted by a star $A$ is $10000$ times that of the sun. If the surface temperatures of the sun and the star $A$ are $6000 \ K$ and $2000 \ K$ respectively,the ratio of the radii of the star $A$ and the sun is : (in $: 1$)

Carborundum is

Vedclass Test Series

Exam Paper Generator

Online Exam Module