More from Er. Rakesh Ranjan

Question 1 :
A parallel plate capacitor is made by stacking {tex} n {/tex} equally<br> spaced plates connected alternatively. If the capacitance<br>between any two adjacent plates is {tex} 'C '{/tex} then the resultant capacitance is

Question 2 :
A positively charged thin metal ring of radius <em>R</em> is fixed in <em>x</em> – <em>y</em> plane with its centre at the origin <em>O</em>. A negatively charged particle <em>P</em> is released from rest at the point (0, 0, <em>Z</em>₀). Then the motion of <em>P</em> is

Question 3 :
In the circuit shown in figure if switch <em>S</em> is closed, the charge that flows through battery is equal to <br> <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16c353bfef6349df00fe9e"/>

Question 4 :
Two equal positive charges +<em>q</em> each are fixed a certain distance apart. A third equal positive charge +<em>q</em> is placed exactly mid-way between them. Then the third charge will

Question 5 :
Seven point charges each of charge <em>q</em> is placed at the seven corners of a cube of side <em>a</em> (one corner is empty). Find the magnitude of electric field at centre of cube.

Question 6 :
The electric potential <em>V</em> (in volt) varies with <em>x</em> (in metre) according to the relation <em>V</em> = 5 + 4<em>x</em>². The force experienced by a negative charge of 2 <font face="Symbol">&times;</font> 10^–6 C located at <em>x</em> = 0.5 m is

Question 7 :
In the diagram shown, the charge +<em>Q</em> is fixed. Another charge +2<em>q</em>, is projected from a distance <em>R</em> from the fixed charge. Minimum separation between the two charges if the velocity becomes half of the projected velocity, at this moment is (Assume gravity to be absent) <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16c351f1a5a149feab9a80"/>

Question 8 :
A long string with a charge of <em>λ</em> per unit length passes through an imaginary cube of edge <em>a</em>. The maximum flux of the electric field through the cube will be

Question 9 :
A parallel plate capacitor of capacitance <em>C</em> is connected to a battery of emf <em>V</em>. If a dielectric slab is completely inserted between the plates of the capacitor and battery remains connected, then electric field between plates

Question 10 :
Consider two concentric metal spheres. The outer sphere is given a charge <em>Q</em> > 0, then <br> <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16c3281da6d070c2abfa14"/>

Question 11 :
An electric field given by <em>E⃗</em> = 4<em>î</em> − 3(<em>y</em>² + 2)<em>ĵ</em> pierces Gaussian cube of side 1<em>m</em> placed at origin such that its three sides represents <em>x, y</em> and <em>z</em> axes. The net charge enclosed within the cube is

Question 12 :
In the circuit shown in the figure, <em>C</em> = 6<font face="Symbol">&micro;</font>F. The charge stored in the capacitor of capacity <em>C</em> is <br> <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16c2fe4bec8070e4e150ef"/>

Question 13 :
The electric potential <em>V</em> at any point <em>x</em>, <em>y</em>, <em>z</em> (all in metres) in space is given by <em>V</em> = 4<em>x</em>² volts. The electric field (in V/m) at the point (1 m, 0, 2 m)

Question 14 :
The electric field intensity at a point at a distance 2 m from a charge <em>q</em> is <em>E</em>. The amount of work done in bringing a charge of 2 coulomb from infinity to this point will be

Question 15 :
The magnitude of electric intensity at a distance <em>x</em> from a charge <em>q</em> is <em>E</em>. An identical charge is placed at a distance 2 <em>x</em> from it. Then the magnitude of the force it experience is

Question 16 :
A parallel plate capacitor having area A and separated by distance d is filled by copper plate of thickness b. The new capacity is:

Question 17 :
Two identical capacitors are connected in series with a source of potential V. If Q is the charge on one of the capacitors, the capacitance of each capacitor is:

Question 18 :
If the distance between the place of a parallel plate capacity $10\;\mu F$ is doubled, then new capacity will be:

Question 19 :
A parallel plate capacitor having air as dielectric medium is charged by a potential difference of V volt. After disconnecting the battery, the distance between the plates of the capacitor is increased using an insulated handle. As a result, potential difference between the plates

Question 20 :
Two capacitors of $10\ pF$ and $20\ pF$ are connected to $200\ V$ and $100\ V$ sources respectively. If they are connected in parallel by the wire, what is the common potential of the capacitors?