What is the maximum charge that can be given to a sphere of diameter (10cm) if the breakdown voltage of air is (2\times10^4 V/cm)? Discussion: Dielectric breakdown is when current flows through an electrical insulator when the voltage applied across it exceeds the breakdown voltage. This results in the insulator becoming electrically conductive. The breakdown voltage of air […]
Let's discuss a problem on Infinite Number of Charges from Physics Olympiad. Try the problem first, and then read the solution here.
Let's discuss a problem based on Checking irreducibility over \(\mathbb{R}\) from TIFR 2013, Problem 37. Try this Problem and then read the solution.
A pendulum bob of mass (80mg) carries a charge of (2*10^{-8}C) at rest in an horizontal uniform electric field of (20,000V/m ). Find the tension in the thread of the pendulum and the angle it makes with the vertical. Discussion: Electric force $$ F=qE=210^{-8}20,000=410^{-4}$$ Gravitational force $$ mg= 8010^{-6}9.8=7.8410^{-4}N$$ Balancing the horizontal and vertical components […]
Let's learn to check injectivity with the help a problem from TIFR 2013 problem 36. Try it yourself first, then read the solution here.
Find the flux through a spherical Gaussian surface of radius (a=1m) surrounding a charge of (8.85pC). Solution: The value of (\epsilon_0=8.85*10^{-12}) The flux through the Gaussian surface is the charge (Q) located inside the surface. Therefore, $$ \Phi=\frac{Q}{\epsilon_0}$$ $$=8.8510^{-12}/8.8510^{-12}$$ $$=1Nm^2/C$$
Let's discuss a problem based on Ceva's Theorem from Regional Mathematics Olympiad, RMO, 2002, Problem 1. Watch, learn and enjoy.
Let's discuss a problem where we will find the charge of the sphere with the help of the three charged spheres problem. Try before reading the solution. The Problem: Consider three concentric metallic spheres \(A\), \(B\) and \(C\) of radii of \(a\), \(b\), \(c\) respectively where a<b<c . \(A\) and \(B\) are connected whereas C […]
Let's discuss a problem and find out whether a sequence is bounded or unbounded from TIFR 2013 Problem no. 35. Try before reading the solution.
TIFR 2013 Problem 34 Solution has been written for TIFR entrance preparation series. A problem on countability of sequence from Real analysis.