What is the velocity of a beam of electrons that goes undeflected when moving perpendicular to an electric and magnetic fields. E⃗ E→ and B⃗ B→ are also perpendicular to each other and have magnitudes 4900 V/m and 6.7×10−3 T , respectively.   What is the radius of the electron orbit if the electric field is turned off?

How the Biot-Savart Law Differs from Ampère's Law A current Io flows up the z-axis from z = z, to z = 22 as shown below. %3D Z2 (a) Use the Biot-Savart law to show that the magnetic field in the z = 0 plane is Ho lo {cos 02 – cos 01}6. 4π ρ B(p, 6, 0) = |

Two long, parallel wiresseparated by a distance 2d carryequal currents in the same direction.An end view of the two wiresis shown in Figure P19.54, wherethe currents are out of the page.(a) What is the direction of themagnetic field at P on the x - axisset up by the two wires? (b) Find anexpression for the magnitude of thefield at P. (c) From your result to part (b), determine the fieldat a point midway between the two wires. Does your resultmeet with your expectation? Explain.

A (8.42x10^-1)-m radius cylindrical region contains a uniform electric field along the cylinder axis. It is increasing uniformly with time. What is the rate of change (magnitude) of the electric field required to obtain a total displacement current of (2.047x10^0) nA through a cross section of the region? Provide your answer in V/(m.s) with three significant figures.

An alpha particle with velocity v = (3 x 105,0,0) m/s enters a region where the magnetic field has a value B = (0,0,1.2) T. Determine the required magnitude and direction of an electric field E that will allow the alpha particle to continue to move along the x axis.

A 40.4-MeV proton moves in the horizontal plane in a region of vertically-directed magnetic field. Find the magnetic field magnitude if the proton experiences a 55.4 pN magnetic force.