For the situation described in figure, the magnetic field changes with time according to
`B=(2.00t^3-4.00t^2+0.8)t` and `r_2=2R=5.0cm`

(a) Calculate the force on an electron located at `P_2` at `t = 2.00 s`
(b) What are the magnitude and direction of the electric field at `P_1` when `t = 3.00 s` and `r_1= 0.02 m`.

A magentic field directed into the page changes with time according to B = (0.0300t^(2) + 1.4.40)T , where t is in seconds. The field has a circular cross section of radius R = 2.50 cm . What are the magitude and direction of the electric field at point P_(1) when t = 3.00 s and r_(1) = 0.0200 m ?

A uniform but time varying magnetic field B=(2t^3+24t)T is present in a cylindrical region of radius R =2.5 cm as shown in figure. The force on an electron at P at t=2.0 s is

The magnetic field in a certain cylindrical region is changing with time according to the law B=[16-4t^(2)] Tesla . The magnitude of induced electric field at point P at time t= time =2 sec , is

The position of a particle is given by vecr =3.0t veci+2.0t^(2) hatj+5.0 hatk Where is in seconds and the coefficients have the proper unit for r to be in maters . (a) Find v(t) and a(t) of the particle . (b) Find the magnitude and direction of v(t) "at" t=1.0s

The electric potential at points in an xy plane is given by V = (2.00 V//m^(2) ) x^(2) - (3.00 V//m^(2) ) y^(2) . What are (a) the magnitude and (b) angle (relative to +x ) of the electric field at the point (4.00 m, 2.00 m)?

In a cylinder region of radius R , a uniform magnetic field is there which is increasing with time, according as B = B_(0)t^(2) . A positive point charge q is released from rest at P(OP = (R )/(2)) at t = 0 [the instant the field is switched on] The force experienced by, the point charge at t = 1s , is (R = 2m)

A 0.25 kg puck is initially stationary on an ice surface with negligible friction. At time t = 0, a horizontal force begins to move the puck. The force is given by vecF=(12.0-3.00t^2)hati , with vecF in newtons and t in seconds, and it acts until its magnitude is zero. (a) What is the magnitude of the impulse on the puck from the force between t= 0.750 s and t = 1.25 s? (b) What is the change in momentum of the puck between t=0 and the instant at which F=0?

A uniform but time varying magnetic field B=(2t^3+24t)T is present in a cylindrical region of radius R =2.5 cm as shown in figure. In the previous problem, the direction of circular electric lines at t=1 s is

A stationary circular loop of radius a is located in a magnetic field which varies with time from t = 0 to t = T according to law B = B_(0) t(T - t) . If plane of loop is normal to the direction of field and resistance of the loop is R, calculate amount of heat generated in the loop during this interval.