A square loop of side `12 cm` with its sides parallel to `x` and `y`- axes is moved with a velocity `8 cm//s` along positive `x`-direction in an environment containing magnetic field along `+ve` z-direction. The field has a gradient of `10^(-3) "tesla"//"em"` along `-ve` x-direction (increasing along `-ve` x-axis) and also decreases with time at the rate of `10^(-3) "tesla"//s`. The emf induced in the loop is

A square loop of side 12 cm with its sides parallel to X and Y axes is moved with a velocity of 8 cm s^(-1) in the positive x-direction in an environment containing a magnetic field in the positive z-direction. The field is neither uniform in space nor constant in time. It has a gradient of 10^(-3) T cm^(-1) along the negative x-direction (that is it increases by 10^(-3) T cm^(-1 ) as one moves in the negative x-direction), and it is decreasing in time at the rate of 10^(-3) T s^(-1) . Determine the direction and magnitude of the induced current in the loop if its resistance is 4.50 mOmega .

A squre loop of side a= 12 cm with its sides parallel to x, and y-axis is moved with velocity, V=8 cm/s in the positive x direction in a magnetic field along the positive z-direction. The field is neither uniform in space nor constant in time. It has a gradient delB//delx=-10^(-3) T//cm along the x-direction, and it is changing in time at the rate delB//delt=7T//sec in the loop if its resistance is R =4.5 Omega . Find the current .

A square loop of side 10 cm with its side parallel to X, and y axis is kept in a uniform magnetic field pointing towards positive z-direction. If magnetic field changes at the rate of 0.1 T/s, then induced emf is

An electron moving with a uniform velocity along the positive x -direction enters a magnetic field directed along the positive y -direction. The force on the electron is directed along

A charge q moves with a velocity 2m//s along x- axis in a unifrom magnetic field B=(hati+2hatj+3hatk) tesla.