Magnetic Field due to current Questions and Answers

A proton enters with a velocity between the plates of a capacitor as shown in the figure. What is the direction of the magnetic field needed so that the proton continues its trajectory, undeflected? Explain each step of your reasoning.

The magnetic field inside a superconducting solenoid is 4.71T. The solenoid has an inner diameter of 6.49cm and a length of 25.0cm. a) Determine the magnetic energy density in the field. b) Calculate the energy stored in the magnetic field within the solenoid.

A circular coil of wire 8.60 cm in diameter has 16.0 turns and carries a current of 3.20 A. The coil is in a region where the magnetic field is 0.560 T. What is this maximum torque in part (A) ? For what orientation of the coil is the magnitude of the torque 71.0 % of the maximum found in part (B)?

If an electron travels 0.260 m from an electron gun to a TV screen in 39.1 ns, what voltage was used to accelerate it? (Note that the voltage you obtain here is lower than actually used in TVs to avoid the necessity of relativistic corrections.)

A potassium ion (K+) moves in the xy-plane with a speed of 3.00 x 10³ m/s. If a constant magnetic field is directed along the z-axis with a magnitude of 2.75 x 10- 5 T, find the magnitude of the magnetic force acting on the ion and the magnitude of the ion's acceleration. (a) the magnitude (in N) of the magnetic force acting on the ion (b) the magnitude (in m/s2) of the ion's acceleration m/s²

IS: 6.67 6. A magnetic field has an intensity of 1.5 T out of the page. A conventional current of 12.0 A flows to the left through the field. Find the force the field exerts on the conductor, assuming 1.20 m of the conductor is in the field. V=N/ q electrons/protons F = qvB 21.6 N 9.6 N 6.67 N 0.10 N ON F = BIL = 1.6E-19 C

You are designing a solenoid to produce a 1.3-kG magnetic field. You wish to wrap your insulated wire uniformly around a cardboard tube that is 8.0 cm in diameter and 25 cm in length, and you have a power supply that will allow you to pass a current of 2.5 A through the solenoid. Determine the total length of wire you will need in order to build the solenoid you have designed.