Question 1 :
The current in a conductor varies with time t as $I=2t+3t^{2}$ amp. where I is ampere and t in second. Electric charge flowing through a section of the conductor during $t=2\:sec$ to $t=3\:sec$ is:-

Question 2 :
Assertion: The current density $\overrightarrow{J}$ at any point in ohmic resistor is in the direction of electric field $\overrightarrow{E}$ at that point. Reason: A point charge when released from rest in a region having only electrostatic field always moves along electric lines of force.

Question 3 :
A particle with a charge of 3 coulombs is taken from a point at a potential of 50 V to another point at a potential of 120 V. Calculate the work done.

Question 4 :
If the work is to be done to take $3$ C electric charge from one point to another point is $15 J$, what will be the potential difference between these two points ?

Question 5 :
Consider a spherical shell of radius R with a total charge $+$q uniformly spread on its surface(center of the chell lies at the origin $x=0$). Two point charges, $+q$ and $-q$ are brought, one after the other, from far away and placed at $x=-a/2$ and $x=+a/2$ $(a< R)$, respectively. Magnitude of the work done in this process is$?$

Question 7 :
A charge of $10$ C is brought from infinity to a point near a charged body and in this process, $200$ J of work is done.  Calculate the electric potential at that point near the charged body

Question 8 :
A number of condensers, each of capacitance $1\mu F$ and each one of which gets punctured if a potential difference just exceeding $500\ V$ is applied, are provided. An arrangement suitable for giving capacitance of $2\mu F$ across which $3000$ volt may be applied requires at least.

Question 10 :
<span>How much work would be required to move a proton from the negative to the positive plate?</span>