A) A current of 9.93 A in a long straight wire produces a magnetic field of 7.23

Question

A) A current of 9.93 A in a long straight wire produces a magnetic field of 7.23 T at a certain distance from the wire. Find this distance.

B) Two long parallel wires are separated by 6.25 cm and carry currents 1.83 A and 3.83 A. Find the magnitude of the magnetic force that acts on a 3.49-m length of either wire.

C) A Hall probe serves to measure magnetic field strength. Such a probe consists of a poor conductor 0.145 mm thick, whose charge-carrier density is 1.09 × 1025 m–3. When a 1.55-A current flows through the probe, the Hall voltage is measured to be 4.35 mV. What is the magnetic field strength?

Explanation / Answer

a) magnetic field due to a wire = (u0 I)/ (2piR)

7.23 x 10^-6 - (4pi x 10^-7 x 9.93 ) / (2 pi R)

R = 0.275 m

B) force per unit length = (u0 I1 I2) / (2 pi R)

F / 3.49 = (4pi x 10^-7 x 1.83 x 3.83 ) / (2 pi 0.0625)

F = 7.83 x 10^-5 N

c)
Hall voltage, E = BIL

4.35 x 10^-3 = B ( 1.55) ( 0.145 x 10^-3)

B = 19.35 T

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