5. A search coil consisting of N turns of wire in a circle of radius r is used to measure small magnetic fields. It is to be designed so that flipping it 180 degrees in a field of B=2.0 Gauss causes a total charge of Q pass through a ballistic galvanometer. (a) Suppose that the coil has a resistance NRo where Ro is the resistance in one turn of wire. Using the fact that & = -do/dt, show that while the current in the coil depends on the speed with which it is rotated, the total charge Q passing through coil from start to finish does not. (b) If the resistivity of the wire is 8x10-7 Nm and the diameter of the wire is 100 um, what should be the radius r of the coil? (Neglect the resistance of the galvanometer.) 1x10- C to I Gaus. N turns Ballstic Galveremeten (measmee Q)

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5. A search coil consisting of N turns of wire in a circle of radius r is used
to measure small magnetic fields. It is to be designed so that flipping it 180
degrees in a field of B=2.0 Gauss causes a total charge of Q = 1x10-7 C to
pass through a ballistic galvanometer. (a) Suppose that the coil has a resistance
N Ro where Ro is the resistance in one turn of wire. Using the fact that & =
-do/dt, show that while the current in the coil depends on the speed with which
it is rotated, the total charge Q passing through coil from start to finish does
not. (b) If the resistivity of the wire is 8x10-7 m and the diameter of the
wire is 100 um, what should be the radius r of the coil? (Neglect the resistance
of the galvanometer.)
I Gaus.
N turns
Ballstic Galvenometen (measunee Q)
Transcribed Image Text:5. A search coil consisting of N turns of wire in a circle of radius r is used to measure small magnetic fields. It is to be designed so that flipping it 180 degrees in a field of B=2.0 Gauss causes a total charge of Q = 1x10-7 C to pass through a ballistic galvanometer. (a) Suppose that the coil has a resistance N Ro where Ro is the resistance in one turn of wire. Using the fact that & = -do/dt, show that while the current in the coil depends on the speed with which it is rotated, the total charge Q passing through coil from start to finish does not. (b) If the resistivity of the wire is 8x10-7 m and the diameter of the wire is 100 um, what should be the radius r of the coil? (Neglect the resistance of the galvanometer.) I Gaus. N turns Ballstic Galvenometen (measunee Q)
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