A \"current balance\" is constructed to measure the force between a solenoid wit

Question

A "current balance" is constructed to measure the force between a solenoid with n = 1.0

A "current balance" is constructed to measure the force between a solenoid with n = 1.0 times 104 turns per meter and a 5.0 cm long straight wire segment carrying equal current passing though the solenoid (in between two adjacent turns) perpendicular to the solenoid's axis. When current flows, the solenoid's field pulls the wire down. This wire is connected to one side of the balance, while mass is placed on the other side. What mass is necessary for equilbrium when the current through the device is 1.0 A?

Explanation / Answer

mg = iLB

againn B = uoni

with n = N/L = 10000

so m = iLB/g
=4pi *10^-7 * 10000* 1*1* *0.05/(9.8)

= 6.4 *10^-5 kg                           

= 0.064 gms

=64 mg

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