Category: HC Verma Part 2: Electricity

Problem Statement An electron enters a uniform electric field of $E = 2000$ N/C horizontally at speed $v_0 = 3\times10^6$ m/s. The field is vertical (downward). Find the deflection after traversing a horizontal distance of 5 cm. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics…

Problem Statement Determine the electric field for the configuration described: The electric potential at points $(2,0,0)$, $(0,2,0)$, and $(0,0,2)$ (in metres) is $V = 10$ V, $20$ V, and $30$ V respectively. Estimate the electric field at the origin if the field is approximately uniform. $E_x = -\Delta V/\Delta x$, etc. Step 1: Assume $V(0,0,0)…

Problem Statement An infinite plane has uniform surface charge density $\sigma = 3.0\times10^{-6}$ C/m$^2$. Find the electric field at a distance of 10 cm from the plane. 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 Solve the Newton’s Laws / mechanics problem: An electric dipole of moment $p = 4\times10^{-9}$ C m is placed in a field $E = 5\times10^5 + 3\times10^5 x$ N/C (varying along $x$). The dipole is aligned along $x$. Find the net force on it at $x = 2$ m. Net force on dipole…

Problem Statement Two point charges $q$ and $4q$ are placed 3 m apart. Find the point on the line joining them where the electric field 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 The electric field near the Earth’s surface is about 150 N/C directed downward. Treating Earth as a conducting sphere of radius $6.4\times10^6$ m, find the total charge on Earth’s surface. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described.…

Problem Statement The electric field at a perpendicular distance of 5.0 cm from a long straight wire is $1200$ N/C. Find the linear charge density on the wire. 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…

Problem Statement A hollow conducting sphere has inner radius $a$ and outer radius $b$. A charge $q$ is placed at the centre. Find the electric field in the regions: (i) $r b$. Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described.…

Problem Statement A uniform solid sphere of radius $R$ has charge $Q$. Find the electric potential at a distance $r < R$ from the centre. 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…

Problem Statement Solve the kinematics problem: A small particle of mass $m$ and charge $q$ is at the surface of a uniformly charged sphere of radius $R$ carrying charge $Q$. Find the minimum speed needed for the particle to escape to infinity. Energy conservation: $KE + PE = 0$ at infinity $PE_{surface} = kQq/R$ Step…