2. (a) A magnetic field of 2.5 T passes perpendicular to a disc to a disc of radius 2cm. Find the magnetic flux associated with the disc (b) A coil of area of cross section 102 cm² and 100 turns is placed in magnetic field of strength 1 T, with its axis making an angle of 60° with the field. Find the total flux associated with the field

where is it demonstrated that the Hamiltonian circuit's tour length is, at most, 4/3 times that of the ideal TSP trip.

5. An object is moving along a circular path of radius 2m and has an angular velocity of 10 rad/s. What is the object's radial acceleration?

2. calculates the trajectory r(t) and stores the coordinates for time steps At as a nested list trajectory that contains [[xe, ye, ze], [x1, y1, z1], [x2, y2, z2], ...]. Start from time t = 0 and use a time step At = 0.01; the last data point in the trajectory should be the time when the oscillator "hits the ground", i.e., when z(t) ≤ 0; 3. stores the time for hitting the ground (i.e., the first time t when z(t) ≤ 0) in the variable t_contact and the corresponding positions in the variables x_contact, y_contact, and z_contact. Print t_contact = 1.430 X_contact = 0.755 y contact = -0.380 z_contact = (Output floating point numbers with 3 decimals using format (), e.g., "t_contact = {:.3f}" .format(t_contact).) The partial example output above is for ze = 10. 4. calculates the average x- and y-coordinates 1 y = Yi N where the x, y, are the x(t), y(t) in the trajectory and N is the number of data points that you calculated. Store the result as a list in the variable center = [x_avg, y_avg]…