All of the wires in the circuit shown in the diagram are made of the same materi
ID: 1784363 • Letter: A
Question
All of the wires in the circuit shown in the diagram are made of the same material, but one wire has a smaller radius than the other wires. Which of the following statements are true of this circuit in the steady state? Check all that apply The magnitude of the electric field is the same at each location labeled by a letter. The number of electrons passing location B each second is the same as the number of electrons passing location D each second O The electric field at location F points up. The drift speed of electrons passing location D is greater than the drift speed of electrons passing location G O The electric field at G is larger in magnitude than the electric field at C. The radius of the thin wire is 0.23 mm, and the radius of the thick wire is 0.575 mm. There are 4e+28 mobile electrons per cubic meter of this material, and the electron mobility is 0.0006 (m/s)/(V/m). 1f4e+18 electrons pass location D each second, how many electrons pass location C each second? 5.00e+18electrons per second What is the magnitude of the electric field at location CExplanation / Answer
number of electrons passing through C = number of electrons passing through D = 4*10^18
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drift speed v = e*E*T/m_e
mobility = v/E = e*T/m_e = 0.0006
current I = (N/t)*e
current I = n*e*T*e*A*E/m_e
(N/t)*e = n*e^2T*A*E/m_e
(N/t) = n*(e*T/m_e)*A*E
A = area of cross section = pi*r^2
r = 0.575 mm = 0.575*10^-3 m
4*10^18 = 4*10^28*0.0006*pi*(0.575*10^-3)^2*E
Electric field E = 0.16 V/m <<<<<----ANSWER