Category: HC Verma Part 2: Electricity

Problem Statement A charge $q$ is placed at a corner of a cube. Find the flux through each of the three faces adjacent to the corner, and each of the three faces not adjacent. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the…

Problem Statement A charge $q$ is placed at the centre of a cube. Find the electric flux through each face of the cube. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The solution requires identifying the relevant conservation laws and…

Problem Statement Solve the work-energy problem: Find the energy required to assemble four equal charges $q$ at the corners of a square of side $a$. Bring charges one by one from infinity; work done against existing charges Step 1: Bring 1st charge: $W_1 = 0$. Step 2: Bring 2nd charge (distance $a$ from 1st): $W_2…

Problem Statement Two charges $+4\mu$C and $-1\mu$C are placed 30 cm apart. Find the location of points on the line joining them where the potential is zero. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The solution requires identifying the…

Problem Statement A rod of length $2L$ carries uniform linear charge density $\lambda$. Find the electric potential at a perpendicular distance $d$ from the midpoint of the rod (on the perpendicular bisector). Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described.…

Problem Statement Solve the capacitor/capacitance problem: A parallel plate capacitor has plate area $A$ and separation $d$. The space between the plates is half-filled with a dielectric of constant $K$ (filling the lower half by thickness $d/2$). Find the capacitance. Two capacitors in series: air gap ($d/2$) and dielectric gap ($d/2$) $1/C = 1/C_1 +…

Problem Statement Solve the Newton’s Laws / mechanics problem: A charge $+Q$ is placed at distance $d$ from a large grounded conducting plate. Using the method of images, find the force on $Q$. Method of images: Replace the grounded plate with an image charge $-Q$ at distance $d$ behind the plate Force = Coulomb force…

Problem Statement Determine the electric field for the configuration described: Two large parallel plates have surface charge densities $+\sigma$ and $-\sigma$. Find the electric field (a) between the plates, (b) outside the plates. Each plate creates a uniform field $\sigma/(2\varepsilon_0)$ on each side Fields add between the plates and cancel outside Step 1: Field due…

Problem Statement Two conducting spheres of radii $r_1 = 2$ cm and $r_2 = 4$ cm are connected by a thin wire. Total charge on the system is $6\mu$C. Find the charge on each sphere. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to…

Problem Statement Determine the electric field for the configuration described: A semicircular wire of radius $R$ carries uniform linear charge density $\lambda$. Find the electric field at the centre of the semicircle. Each element $dl = R\ d\theta$ contributes field $dE = k\lambda\ d\theta/R^2 \cdot R = k\lambda\ d\theta/R$ By symmetry, only the component perpendicular…