field is directed along x-axis. At t=0 the proton has velocity components v_(x)=1.50\times 10^(5)(m)/(s),v_(y)=0, and
v_(z)=2.00\times 10^(5)(m)/(s) Only the magnetic force acts on proton. (a) At t=0, find the force on the proton and
its aceeleration. (b) Find the radius of the resulting helical path, the angu?ar speed of the proton, and the
pitch of the helix. (12)
As Fig. 2 shows, in which Q=It, (a) please find the electric and pagnetie fields at point P, (b) follows
(a) if the a is very large, (c) follows (a) if the x is very targe. (18)
As Fig. 3 shows, in which Q=It, please find the ectric and nagnetic fields inside and outside of the
conductor. (16)
As Fig. 4 shows, please (a) find the ein the Fig. 4, calculate the power in the format of B,L,v,R, and
(b) using current and resistor R, and (c) using F and v. (12)
Calculate the i(t) in Fig. 5 and Fig.6. (12)
A 960 W coffeemaker is operated from a 240 V supply. (a) What can you do to operate it at 120 V ,
(b) what current will the coffeemaker draw from the 120 V supply, and (c) what is the resistance of the
coffeemaker. (12)
The wavelength of the red light from a laser is 633 nm in air but 474 nm in a dielectric. Calculate the
index of the diefectric and the speed and frequency in it. (9)
As Fig. 7 shows, an object 8.0 cm height is placed at point O , find the position, and the orentation
of the produced image. (10)
A long solid cylinder with a current density as below, please (a) show the current distribution across
the section of the wire, (b) find the vec(B) in the region of a<=r, (c) find an expression of I in the region of
r<=a, (d) using Ampere's law to drive the vec(B) in the region of r<=a. (16)
vec(J)=(2(I_(o))/(\pi )a^(2))[1-((r)/(a))^(2)]vec(k) for r<=a,vec(J)=0 for a<=r
Fig. 1
Fig. 2
Fig. 3
Fig. 4
Switch S_(1) is closed at t=0.
Fig. 6