A current balance is constructed in the following way: A 20-cm-Iong section of w

Question

A current balance is constructed in the following way: A 20-cm-Iong section of wire is placed on top of the pan of an electronic balance used in a chemistry lab. Leads are clipped to it running into a power supply and through the supply to another segment of wire that is suspended directly above it, parallel with it. (See figure below.) The distance between the two wires is L = 2.0 cm. The power supply provides a current I running through the wires. When the power supply is switched on, the reading on the balance increases by 3.0 mg (1 mg = 10-3 kg). What is the current running through the wire?

A current balance is constructed in the following way: A 20-cm-Iong section of wire is placed on top of the pan of an electronic balance used in a chemistry lab. Leads are clipped to it running into a power supply and through the supply to another segment of wire that is suspended directly above it, parallel with it. (See figure below.) The distance between the two wires is L = 2.0 cm. The power supply provides a current I running through the wires. When the power supply is switched on, the reading on the balance increases by 3.0 mg (1 mg = 10-3 kg). What is the current running through the wire?

Explanation / Answer

l =20cm

d=2cm

F= 3mg= 3*10^-6 kg

= sqrt(2*3.14*2*3*10^-6*9.8/((4*3.14*10^-7)*20))

=3.83405790254 A

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