Electricity and Magnetism Answers

An alpha particle has a velocity of magnitude 500m/s and travels horizontally in space which there is an upward-directed uniform electric field of magnitude 38 N/C and a uniform magnetic field. The magnetic field makes an angle of 42⁰ with the particle's velocity vector and such causes the alpha particle to pass through the region of space undeflected.

What will be the magnitude of the magnetic field that is required to cause the alpha particle to pass through undeflected beginning with electric force and magnetic force equations?

Find the Total force of q3 were the charges of difference location is q1=3nC, q2 =4nC,and q3=5nC at corner of an equalateral triangle with the side of 10 cm find the a total force on q3 and Total electric field

1. A straight wire carrying a 3.00-A current is placed in a uniform magnetic field of magnitude 0.280 T directed perpendicular to the wire. Find the magnitude of the magnetic force on a section of a wire having a length of 14.0 cm.
2. The magnetic field through a coil changes from 3 mT to 4.5 mT in 7 seconds. If the coil has 600 turns and a radius of 4 cm, what emf is induced in the coil?
3. A wire 12cm long and carrying a current of 30 A is placed in between the pole face of a magnet whose magnetic flux density is 0.9 T. If the wire is inclined at an angle of 60^o from the plane of the magnetic field, what is the force exerted on the wire?
4. A plane circular loop of conducting wire of radius 10 cm which possesses 15 turns is placed in a uniform magnetic field. The direction of the magnetic field makes an angle of 30 degrees with respect to the normal direction to the loop. The magnetic field-strength is increased at a constant rate from 1 T to 5T in a time interval of 10 s. What is the emf generated around the loop?

What is the capacitance and self-inductance per length of a cable that consists of a solid inner conductor (radius R₁) and a thin coaxial conducting cylindrical shell (inner radius R₂). The region between the conductors is filled with a uniformly distributed dielectric (dielectric constant Kappa). Mu=Mu₀

The square surface measures 3.2mm on each side. It is immersed in a uniform electric field with E=1800 N/C. the field lines make an angle of 65 with the outward ponting normal. calculate the flux through the surface

A wire of length 0.050 𝑚 and carries a current 𝐼 is in a horizontal uniform magnetic field B of 2.50 𝑇 which is perpendicular to the rod. The weight of the wire is 0.80 𝑁. What is the value of the current 𝐼 if the magnetic force on the wire equals its weight? 

A flat circular coil which has 𝑁 turns each of diameter d carries a current 𝐼. If 𝜇0 is the permeability of free space, what is the expression of magnetic field 𝐵 at the center of the coil?

Write Maxwell equation for harmonically varying field.

Assume that the wave is propagating from free space and striking to a dielectric medium normally. Give the derivation for reflection and transmission coefficient.

Calculate the value of α, β, γ ,η for a rubber at a frequency f=106 Hz. It is given that εr = 3.5, σ=10-16 mhos/m & µr=1.