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ID: 2122945 • Letter: P

Question

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Please do all the parts of all SEVEN questions (with UNITS) in order to attain full 1500 points.


Show your work- if you can.

1) https://jumpshare.com/v/jsx94ZK7rzl0aewfI3Aw

2) https://jumpshare.com/v/0CWReIjK9QvQOoRCbhzY

3) https://jumpshare.com/v/5QDD28vJSJKXxGeNFR2E

4) https://jumpshare.com/v/itDoX6kRlKoENcH2I8Xe

5) https://jumpshare.com/v/SKyY3m6zix6M5XipOvLg

6) https://jumpshare.com/v/Ya5NVRvd7oVqnchLQgEl

7) https://jumpshare.com/v/vqBXtIpEuXNKK58kCyqL

Explanation / Answer

1) for Tension to be zero I*L*B = m*g

==> I*B = m*g/L

==> I = (m/L)*g/B

==> I = 0.06*9.8/4 = 0.147 A


2)E = change in flux /change in time

change in flux = (B*A2 -B*A1)

A1 = 0

A2 = 0.5*0.6*6*0.6*6*tan(19)

so E = 0.6*0.5*0.6*6*0.6*6*tan(19)/6 =0.223 V


3)a)tan(theta1) = (3-2.1)*10^2 /90 = 90/90 = 1

==> theta 1 = 45 degree

b)sin theta1/sin theta2 = 1/1.33

==> sin theta2 = 1.33*sin(45 degree)

==> theta 2 = arcsin(1.33*sin(45 degree)) = 70.13 degree

c) phi = 90-70.13 = 19.87 degree

d)h/2.1*10^2 = tan(phi)

==> h = 210*tan(19.87 degree) = 75.89 m


4)a) sin (theta c) = 1/4/3

==> theta c = arcsin(3/4) = 48.59 degree

b)sin(theta)/sin(30) = 1/4/3

==> sin theta = 3*sin(30)/4

==> theta = arcsin(3/8) = 22.02 degee

c)h+xtan(30) = x+htan(22.02)

==> h(1-tan(22.02) = x(1-tan(30))

==> x = h(1-tan(22.02)/(1-tan(30)) = 0.043*h

now

0.043*4+h = 1

==> h = 1/1.043 = 0.9587 m


5) q*v*B = m*v^2/r

==> q*B = m*v/r

==> qB = m/T

==> T = m/qB

==> f = 1/T = qB/m = 1.6*10^-19*5*10^-5/(9.1*10^-31) = 8.79*10^6 Hz or 8.79 MHz


6)a) v = sqrt(2*q*V/m) = sqrt( 2*1.6*10^-19*2100/(1.67*10^-26)) = 2.01*10^5 m/s

b)r = mv/qB = (1.67*10^-26*2.01*10^5)/(1.6*10^-19*0.8) = 0.026 m or 2.6 cm


7)t = IAXB = IABin(theta) = 0.49*25*10^-4*0.8*sin(30 degree)=0.00049 N-m