A uniform square plate S (side c) and a uniform rectangular plate R (sides b,a) have identical areas and masses (show in the figure).
Show that `I_(zR`//I_(zS) > 1`

A uniform square plate S (side c) and a uniform rectangular plate R (sides b,a) have identical areas and masses (show in the figure). Show that I_(yR //I_(yS) < 1

Through A,B and C lines RQ,PR and QP have been drawn, respectively parallel to sides BC, CA and AB of a triangleABC as shown in fig. show that BC=1/2QR

Define mutual inductance and write its SI unit. A square loop of side 'a' carrying a current I_2 is kept at distance x from an infinitely long straight wire carrying a current I_1 as shown in the figure SAQ 41. Obtain the expression for the resultant force acting on the loop.

A particle of mass m and charge (-q) enters the region between the two charged plates initially moving along x-axis with speed v_x. The length of plate is L and an uniform electric field E is maintained between the plates. Show that the vertical deflection of the particle at the far edge of the plate is qEL^2//(2m v_x^2) .

Two parallel vertical metallic rails AB and CD are separated by 1m. They are connected at the two ends by resistances R_1 and R_2 as shown in the figure. A horizontal metallic bar 1 of mass 0.2 kg slides without friction, vertically down the rails under the action of gravity. There is a uniform horizontal magnetic field of 0.6 T perpendicular to the plane of the rails. It is observed that when the terminal velocity is attained, the powers dissipated in R_1 and R_2 are 0.76W and 1.2W respectively (g=9.8m//s^2) The value of R_2 is

A rectangular loop has a sliding connector PQ of length l and resistance R. It is moving with a speed v as shown in the figure. The set up is placed in a uniform magnetic field goping into the plane of the paper. The three currents I_1 , I_2 and I are

A thin straight rod of length I, has uniform linear charge density lambda . Moving at a constant speed v, the rod enters a cube of sides having length L through its left fae and leaves through the right face as shown in the figure Find the maximum electric flux through the cube.

A rectangular loop PQRS made from a uniform wire has length a, width b and mass m. It is free to rotate about the arm PQ, which remains hinged along a horizontal line taken as the y-axis (see figure). Take the vertically upward direction as the z-axis. A uniform magnetic field vec(B) = (3 hat(i) + 4hat(k)) B_(0) exists in the region. The loop is held in the x-y plane and a current I is passed through it. The loop is now released and is found to stay in the horizontal position in equilibrium What is the direction of the current I in PQ?

A parallel plate capacitor is constructed using three different dielectric materials as show in the figure The parallel plates across which a potential difference is applied are of area A = 1cm^2 and are separated by a distance d = 2 mm. If k_1 = 4, K_2 = 2,k_3=6 , find the capacitance across the points A and B.

A small retangular coil ABCD contains 140 turns of wire. The sides AB and BC of the coil are of length 4.5 and 2.8 cm respectively, as shown in the figure The coil is held between the poles of a large magnet so that the coil can rotate about an axis thorugh its centre. The magnet produces a uniform magnetic field of flux density B between its poles. When the current in the coil is 170 mA, the maximum torque produced in the coil is 2.1 xx 10^-3 N m . For the coil in the position shown in the figure. calculate the magnitude of the force on (i) side AB of the coil and (ii) side BC of the coil.