A bar of mass ?m rests perpendicularly on a pair of rails separated by a distance ?L that lie in the ??-xy-plane, as shown. The bar is initially at the left edge of the rails at position ?=0.x=0. An external force moves the bar in the +?-+x-direction at a constant speed ?.v.The apparatus lies in a region of magnetic field ?⃗ B→ that is parallel to the ??-xz-plane and points at an angle ?θ above the −?-−x-axis. The magnitude ?B of the magnetic field decreases in the ?-x-direction according to the equation ?=?/(?+?),B=c/(a+x), where ?c and ?a are positive constants.Derive an expression for the magnetic flux ΦB(?)ΦB(t) as a function of time ?t through the loop formed by the bar and rails. Define the normal to the loop to be in the +?-+z-direction, and express your answer in terms of the given quantities. A bar of mass m rests perpendicularly on a pair of railsseparated by a distance L that lie in the xy-plane, as shown.The bar is initially at the left edge of the rails at positionx = 0. An external force moves the bar in the +x-directionat a constant speed v.The apparatus lies in a region of magnetic field B that isparallel to the xz-plane and points at an angle 0 above the-x-axis. The magnitude B of the magnetic field decreases inthe x-direction according to the equation B = c/(a + x),where c and a are positive constants.Derive an expression for the magnetic flux Pg(t) as afunction of time t through the loop formed by the bar andrails. Define the normal to the loop to be in the +z-direction,and express your answer in terms of the given quantities.OB (1) =

It is given that the magnetic field is, B=cl(a+x) The angle is θ above the negative x axis. Thus the…

A bar of mass m rests perpendicularly on a pair of rails separated by a distance L that lie in the xy-plane, as shown. The bar is initially at the left edge of the rails at position x = 0. An external force moves the bar in the +x-direction at a constant speed v. The apparatus lies in a region of magnetic field B that is parallel to the xz-plane and points at an angle 0 above the -x-axis. The magnitude B of the magnetic field decreases in the x-direction according to the equation B = c/(a + x), where c and a are positive constants. Derive an expression for the magnetic flux PB(t) as a function of time t through the loop formed by the bar and rails. Define the normal to the loop to be in the +z-direction, and express your answer in terms of the given quantities. PB(t) =

A bar of mass m rests perpendicularly on a pair of rails separated by a distance L that lie in the xy-plane, as shown. The bar is initially at the left edge of the rails at position x = 0. An external force moves the bar in the +x-direction at a constant speed v. The apparatus lies in a region of magnetic field B that is parallel to the xz-plane and points at an angle 0 above the -x-axis. The magnitude B of the magnetic field decreases in the x-direction according to the equation B = c/(a + x), where c and a are positive constants. Derive an expression for the magnetic flux PB(t) as a function of time t through the loop formed by the bar and rails. Define the normal to the loop to be in the +z-direction, and express your answer in terms of the given quantities. PB(t) =