7. Consider the circuit of the figure. 0 Oe a) Convert the above circuit from a

Question

7. Consider the circuit of the figure. 0 Oe a) Convert the above circuit from a three-loop to a two-loop circuit by replacing the 1.00 , 3.00 , and 5.00 resistors by a single resistor Req. What is the value of R b) What is the magnitude and direction of the current 12? c) What is the magnitude of the emf ? d) what is the magnitude of the current flowing through the 3.00 resistor? e) What is the voltage difference between the points a and b in the circuit? 8. The figure shows a portion of a silver ribbon with = 2.00 cm and yi = 1.00 mm carrying a current of 200 A in the positive z-direction. The ribbon lies in a uniform magnetic field of 1.50 T that points in the y-direction. There are 7.40 × 1028 free electrons per m3. a) What is the drift velocity of the electrons in the r-direction? b) What is the magnitude and direction of the electric field due to the Hall effect? c) What is the Hall potential difference?

Explanation / Answer

8)

A)

Vd = J/(n*e)

Vd = I/(A*n*e)

Vd = 200 / (2 x 10^-2 x 1 x 10^-3 x 7.40 x 10^28 x 1.6 x 10^-19)

Vd = 8.45 x 10^-4 m/s

B)

q*E = q*Vd*B

E = Vd*B

E = 8.45 x 10^-4 m/s x 1.5 T

E = 1.2675 x 10^-3 N/C

D)

VH = B*I/(n*e*L)

VH = (1.50 x 200) / (7.40 x 10^28 x 1.6 x 10^-19 x 2 x 10^-2)

VH = 1.27 x 10^-6 volts

VH = 1.27 micro volts

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