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i) u(x,t) = A(x + ct)³ is a solution of the one-dimensional wave equation.

ii)u(x ,t) = e^(−µt) sin x is a solution of the one-dimensional heat equation.

magnitude of the magnetic field will be half of its value at the wire surface.

is it mean that current goes first followed by voltage

coulomb and of radius 1 meter. The electrostatic force exerted on the

electron can cause the electron to oscillate through the center of the

ring. Find the frequency of small oscillation of the electron in Hertz.

1. Fringing decreases the flux density in the air gap. how?

2. Air-gap flux is termed as usefùl flux. Why?

3. The relative permeability of a magnetic material changes with flux density. Why?

4. Does a magnetic circuit consume energy? Why’?

5. In a magnetic circuit,which part (iron or air) requires most of the ampere-turns to set up flux, tell why ?

6. In all the magnetic circuits, leakage flux exists. Why?

(a) Find the net charge Q of the shell

(b) Calculate the electric field E at a distance R frome the center over the range 0 ￡R￡￥

(c) Fin the maximum E.