Electricity and Magnetism Answers

Hi, so I’m stuck on a question where I have to prove that the radius of the curvature of a particle is equal to (1/BQ) * (2*Ek*m)^0.5, using the centripetal force equation, kinetic energy and F=BQv to do so. Can someone help me please?

if the peak current of a.c source is 14A then the rms current to nearest ampere is ..

For a parabolic dish antenna, show that the
–3db beam width with D = 6m and Wavelength= 3 cm is 0.35°.

Define radiation pattern and gain of an antenna. Write one example of an antenna.

There are more things in heaven and earth, Horatio, than are dreamt of in your philosophy.” -Hamlet

A long solenoid of length L and radius R has a total of N turns and carries a current I. The solenoid is held firmly in place and cannot rotate.
a. Use Ampere’s law to determine the magnetic field inside the solenoid (far from itsends).

An alpha particle (charge +2e) and an electron move in opposite directions from the same point, each with the speed of 2.50 X 105 m/s (Fig). Find the magnitude and direction of the total magnetic field these charges produce at point p. which is 1.75 nm from each of them.

A glass rod that has been charged to +13.0 NC touches a metal sphere. Afterward, the rod's charge is +7.0 NC.How many charged particles were transferred?

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Derive an expression for the electric field at a point :
(i) along the axis of a dipole, and
(ii) on the perpendicular bisector of the
dipole axis

Use Ampere's law for steady currents to derive the magnetic field due to a solenoid.
Four very long straight wires are closely bound together to form a small cable.
Currents carried by the wires are : I1 =15A, 12 = -10A, 13 = 20A and 14 = - 5A.
Determine B at a distance of 5 cm from the cable.

The electric field of a plane electromagnetic wave is given by
Ex = 0, Ey =100 cos(4π x 10^8 t — πX/3)
Ez = 0 where E is in Vm^-1, t is in seconds and x is in meters.
Determine v, k, X, direction of propagation of the wave and the direction of the magnetic field.