A $4\,\mu F$ conductor is charged to $400\, volts$ and then its plates are joined through a resistance of $1\,k\Omega $. The heat produced in the resistance is ............... $J$
Medium
Download our app for free and get startedPlay store
Heat produced = Energy stored in capacitor
$ = \frac{1}{2}C{V^2}$$ = \frac{1}{2} \times 4 \times {10^{ - 6}} \times {(400)^2}$$ = 0.32\,\,J$
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    A current of $2\,A$ flows through a $2\,\Omega$ resistor when connected across a battery. The same battery supplies a current of $0.5\,\, A$ when connected across a $9 \,\,\Omega$ resistor. The internal resistance of the battery is 
    View Solution
  • 2
    A wire is connected to a battery between the point $M$ and $N$ as shown in the figure $(1)$. The same wire is bent in the form of a square and then connected to the battery between the points $M$ and $N$ as shown in the figure $(2)$. Which of the following quantities increases?
    View Solution
  • 3
    The current through a wire depends on time as $i = (2+3t)\, mA$. The charge crossing through a section of the wire in $1\, min$ is .............. $\mathrm{C}$
    View Solution
  • 4
    The length of a metallic wire is increased by $20 \%$ and its area of cross section is reduced by $4 \%$. The percentage change in resistance of the metallic wire is $.......$
    View Solution
  • 5
    In the circuit shown in figure, potential difference between points $A$ and $B$ is $16\, V$. The current passing through $2\,\Omega $ resistance will be ................. $\mathrm{A}$
    View Solution
  • 6
    In the circuit shown the cells $A$ and $B$ have negligible resistance. For $V _{ A }=12\; V , R _{1}=500\; \Omega$ and $R =100\; \Omega$ the galvanometer $(G)$ shows no deflection. The value of $V_{B}$ is .... $V$
    View Solution
  • 7
    Electric power is transmitted over long distances through conducting wires at high voltage because
    View Solution
  • 8
    In a region $10^{19}$ $\alpha -$ particels and $10^{19}$ protons per second move to the left, while $10^{19}$ electrons moves to the right per second. The current is
    View Solution
  • 9
    $12$ cells each having same $emf$ are connected in series with some cells wrongly connected. The arrangement is connected in series with an ammeter and two cells which are in series. Current is $3 \,A$ when cells and battery aid each other and is $2\, A$ when cells and battery oppose each other. The number of cells wrongly connected is
    View Solution
  • 10
    A heater draws a current of $2\,A$ when connected to a $250\,V$ source. The rate of energy dissipation is ............. $W$
    View Solution