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Switch $S$ of circuit shown in figure is in position $1$ for a long time. At instant $t = 0$ , it is thrown from position $1$ to $2$ . The thermal power $P_1(t)$ generated in resistance $R_1$
The switch $S$ shown in figure is kept closed for a long time and then opened at $t = 0$, then the current in the middle $20\, \Omega$ resistor at $t = 0.25\, ms$ is :-
The work done in carrying a charge of $5\,\mu \,C$ from a point $A$ to a point $B$ in an electric field is $10\,mJ$. The potential difference $({V_B} - {V_A})$ is then
Two spherical conductors $A$ and $B$ of radius $a$ and $b (b > a)$ are placed in air concentrically $B$ is given charge $+ Q$ coulomb and $A$ is grounded. The equivalent capacitance of these is
The electric potential at a point $(x,\;y)$ in the $x - y$ plane is given by $V = - kxy$. The field intensity at a distance $r$ from the origin varies as
Four charges $2C, -3C, -4C$ and $5C$ respectively are placed at all the corners of a square. Which of the following statements is true for the point of intersection of the diagonals ?
A capacitor when filled with a dielectric $K = 3$ has charge ${Q_0}$, voltage ${V_0}$ and field ${E_0}$. If the dielectric is replaced with another one having $K = 9$ the new values of charge, voltage and field will be respectively
An electron with an initial speed of $4.0 \times 10^6 \,ms ^{-1}$ is brought to rest by an electric field. The mass and charge of an electron are $9 \times 10^{-31} \,kg$ and $1.6 \times 10^{-19} \,C$, respectively. Identify the correct statement.
An electric dipole of dipole moment is $6.0 \times 10^{-6}\,Cm$ placed in a uniform electric field of $1.5 \times 10^3\,NC ^{-1}$ in such a way that dipole moment is along electric field. The work done in rotating dipole by $180^{\circ}$ in this field will be $.........\,mJ$