emf= ​ dtdΦ B​ ​ ​ = dtd​ [ 2Bs​ (2sx+s 2 )]=Bs 2 dtdx​ =Bs 2 vTag the questionStep-by-stepFinal solutionSubjectPhysicsSub-subject

If magnetic flux passing through a coil as a function of time is given by = (2t2 + t) Wb, then induced emf (magnitude) at t = 1 s will be ______ V

Consider the second order differential equation for x(t)d2xdt2 + adxdt + bx = 0,where a and b are constant real numbers.(a) Convert this differential equation to a two dimensional system of first-order differential equations and then write the system in matrix form.[5 marks](b) If a = 1 and b = −2 find the eigenvalues and the eigenvectors of thematrix associated to the system and write the general solution of thesystem. [10 marks](c) For the same values of a and b characterise the type of the equilibriumpoint at the origin and sketch the phase plane of the system

State the four Maxwell equations for an electric field, E, and a magnetic field, B (you do notneed to define other symbols used).

A square loop of side 10 cm and resistance 0.7Ω is placed vertically in east-west plane. A uniform magnetic field of 0.20 T is set up across the plane in north east direction. The magnetic field is decreased to zero in 1 s at a steady rate. Then, magnitude of induced emf is x√×10−3 V. The value of x is _____

A coil of area 50 centimeter square has 1000 turns and the magnetic field of 0.2 T is parallel to the coil, if the magnetic field is reduced to zero in 2 second, the induced emf in the coil is___________*1 point0 V1 V10 V5 V