The switch in the diagram is suddenly closed at time t=0. a) find the current I
ID: 2256263 • Letter: T
Question
The switch in the diagram is suddenly closed at time t=0.
a) find the current I in the long stretch of wire from A to B as function of time. indicate the direction of the current by an arrow on the line connecting A and B
b) find the time dependent magnetic flux thrugh the wire loop shown below the circuit in terms of E R C a and other constants as needed. Ignore contribution form other parts of the circuit except the wire stretch between A and B
c) find the time dependent emf around the wire loop below the circuit, Is the direction of the current induced in the wire loop clockwise or counter clockwise?
The switch in the diagram is suddenly closed at time t = 0. ) find the current I in the long stretch of wire from A to B as function of time. indicate the direction of the current by an arrow on the line connecting A and B find the time dependent magnetic flux through the wire loop shown below the circuit in terms of E R C a and other constants as needed. Ignore contribution form other parts of the circuit except the wire stretch between A and B find the time dependent emf around the wire loop below the circuit, Is the direction of the current induced in the wire loop clockwise or counter clockwise?Explanation / Answer
a) I = emf/R e^(-t/(RC))
current goes right to left i.e. B to A
b) flux = integral of B dA = integral of u0 I/( 2 pi r) a* dr from a to 3a
= u0 I*a/(2*pi) ln(3)
= u0 E/R e^(-t/(RC))a ln(3)/(2*pi)
c) emf = dflux/dt
emf = u0 E/(R^2 C) e^(-t/RC) a ln(3)/(2*pi)
flux is decreasing so will want to put more in same direction
so clockwise
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